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## Publications

Open list in Research Information System

Nanosecond gating of superconducting nanowire single-photon detectors using cryogenic bias circuitry

T. Hummel, A. Widhalm, J.P. Höpker, K. Jöns, J. Chang, A. Fognini, S. Steinhauer, V. Zwiller, A. Zrenner, T. Bartley, Optics Express (2023), 31(1), 610

<jats:p>Superconducting nanowire single-photon detectors (SNSPDs) show near unity efficiency, low dark count rate, and short recovery time. Combining these characteristics with temporal control of SNSPDs broadens their applications as in active de-latching for higher dynamic range counting or temporal filtering for pump-probe spectroscopy or LiDAR. To that end, we demonstrate active gating of an SNSPD with a minimum off-to-on rise time of 2.4 ns and a total gate length of 5.0 ns. We show how the rise time depends on the inductance of the detector in combination with the control electronics. The gate window is demonstrated to be fully and freely, electrically tunable up to 500 ns at a repetition rate of 1.0 MHz, as well as ungated, free-running operation. Control electronics to generate the gating are mounted on the 2.3 K stage of a closed-cycle sorption cryostat, while the detector is operated on the cold stage at 0.8 K. We show that the efficiency and timing jitter of the detector is not altered during the on-time of the gating window. We exploit gated operation to demonstrate a method to increase in the photon counting dynamic range by a factor 11.2, as well as temporal filtering of a strong pump in an emulated pump-probe experiment.</jats:p>

Quantum-optical excitations of semiconductor nanostructures in a microcavity using a two-band model and a single-mode quantum field

H. Rose, A.N. Vasil'ev, O.V. Tikhonova, T. Meier, P. Sharapova, Physical Review A (2023), 107(1), 013703

Verschränkung wie am Fließband

S. Barkhofen, B. Brecht, C. Silberhorn, Physik in unserer Zeit (2023), 54(1), pp. 10-11

Detector entanglement: Quasidistributions for Bell-state measurements

J. Sperling, I. Gianani, M. Barbieri, E. Agudelo, Physical Review A (2023), 107(1), 012426

Second Harmonic Optical Circular Dichroism of Plasmonic Chiral Helicoid-III Nanoparticles

F. Spreyer, J. Mun, H. Kim, R.M. Kim, K.T. Nam, J. Rho, T. Zentgraf, ACS Photonics (2022), 9(3), pp. 784–792

While plasmonic particles can provide optical resonances in a wide spectral range from the lower visible up to the near-infrared, often, symmetry effects are utilized to obtain particular optical responses. By breaking certain spatial symmetries, chiral structures arise and provide robust chiroptical responses to these plasmonic resonances. Here, we observe strong chiroptical responses in the linear and nonlinear optical regime for chiral L-handed helicoid-III nanoparticles and quantify them by means of an asymmetric factor, the so-called g-factor. We calculate the linear optical g-factors for two distinct chiroptical resonances to −0.12 and –0.43 and the nonlinear optical g-factors to −1.45 and −1.63. The results demonstrate that the chirality of the helicoid-III nanoparticles is strongly enhanced in the nonlinear regime.

Efficient Frequency Conversion with Geometric Phase Control in Optical Metasurfaces

B. Reineke Matsudo, B. Sain, L. Carletti, X. Zhang, W. Gao, C. Angelis, L. Huang, T. Zentgraf, Advanced Science (2022), 9(12), 2104508

Spin-Orbit Interaction of Light Enabled by Negative Coupling in High-Quality-Factor Optical Metasurfaces

W. Gao, B. Sain, T. Zentgraf, Physical Review Applied (2022), 17(4), 044022

Multichannel Superposition of Grafted Perfect Vortex Beams

H. Ahmed, Y. Intaravanne, Y. Ming, M.A. Ansari, G.S. Buller, T. Zentgraf, X. Chen, Advanced Materials (2022), 2203044

Inspired by plant grafting, grafted vortex beams can be formed through grafting two or more helical phase profiles of optical vortex beams. Recently, grafted perfect vortex beams (GPVBs) have attracted much attention due to their unique optical properties and potential applications. However, the current method to generate and manipulate GPVBs requires a complex and bulky optical system, hindering further investigation and limiting its practical applications. Here, a compact metasurface approach for generating and manipulating GPVBs in multiple channels is proposed and demonstrated, which eliminates the need for such a complex optical setup. A single metasurface is utilized to realize various superpositions of GPVBs with different combinations of topological charges in four channels, leading to asymmetric singularity distributions. The positions of singularities in the superimposed beam can be further modulated by introducing an initial phase difference in the metasurface design. The work demonstrates a compact metasurface platform that performs a sophisticated optical task that is very challenging with conventional optics, opening opportunities for the investigation and applications of GPVBs in a wide range of emerging application areas, such as singular optics and quantum science.

Asymmetric parametric generation of images with nonlinear dielectric metasurfaces

S.S. Kruk, L. Wang, B. Sain, Z. Dong, J. Yang, T. Zentgraf, Y. Kivshar, Nature Photonics (2022), 16, pp. 561–565

Subwavelength dielectric resonators assembled into metasurfaces have become a versatile tool for miniaturizing optical components approaching the nanoscale. An important class of metasurface functionalities is associated with asymmetry in both the generation and transmission of light with respect to reversals of the positions of emitters and receivers. The nonlinear light–matter interaction in metasurfaces offers a promising pathway towards miniaturization of the asymmetric control of light. Here we demonstrate asymmetric parametric generation of light in nonlinear metasurfaces. We assemble dissimilar nonlinear dielectric resonators into translucent metasurfaces that produce images in the visible spectral range on being illuminated by infrared radiation. By design, the metasurfaces produce different and completely independent images for the reversed direction of illumination, that is, when the positions of the infrared emitter and the visible light receiver are exchanged. Nonlinearity-enabled asymmetric control of light by subwavelength resonators paves the way towards novel nanophotonic components via dense integration of large quantities of nonlinear resonators into compact metasurface designs.

Design and investigation of a metalens for efficiency enhancement of laser-waveguide coupling in a limited space system

H. laeim, C. Schlickriede, P. Chaisakul, N. Chattham, H. Panitchakan, K. Siangchaew, T. Zentgraf, A. Pattanaporhratana, in: Metamaterials, Metadevices, and Metasystems 2022, SPIE, 2022

Experimental verification of the acoustic geometric phase

B. Liu, Z. Zhou, Y. Wang, T. Zentgraf, Y. Li, L. Huang, Applied Physics Letters (2022), 120(21), 211702

Optical geometric phase encoded by in-plane spatial orientation of microstructures has promoted the rapid development of numerous functional meta-devices. However, pushing the concept of the geometric phase toward the acoustic community still faces challenges. In this work, we utilize two acoustic nonlocal metagratings that could support a direct conversion between an acoustic plane wave and a designated vortex mode to obtain the acoustic geometric phase, in which an orbital angular momentum conversion process plays a vital role. In addition, we realize the acoustic geometric phases of different orders by merely varying the orientation angle of the acoustic nonlocal metagratings. Intriguingly, according to our developed theory, we reveal that the reflective acoustic geometric phase, which is twice the transmissive one, can be readily realized by transferring the transmitted configuration to a reflected one. Both the theoretical study and experimental measurements verify the announced transmissive and reflective acoustic geometric phases. Moreover, the reconfigurability and continuous phase modulation that covers the 2π range shown by the acoustic geometric phases provide us with the alternatives in advanced acoustic wavefront control.

Ruelle–Pollicott resonances for manifolds with hyperbolic cusps

Y. Guedes Bonthonneau, T. Weich, Journal of the European Mathematical Society (2022), 24(3), pp. 851-923

Poisson transforms for trees of bounded degree

K. Bux, J. Hilgert, T. Weich, Journal of Spectral Theory (2022), 12(2), pp. 659-681

Information extraction in photon-counting experiments

T. Schapeler, T. Bartley, Physical Review A (2022), 106(1), 013701

Laser-lithographically written micron-wide superconducting nanowire single-photon detectors

M. Protte, V.B. Verma, J.P. Höpker, R.P. Mirin, S. Woo Nam, T. Bartley, Superconductor Science and Technology (2022), 35(5), 055005

<jats:title>Abstract</jats:title> <jats:p>We demonstrate the fabrication of micron-wide tungsten silicide superconducting nanowire single-photon detectors on a silicon substrate using laser lithography. We show saturated internal detection efficiencies with wire widths ranging from 0.59 <jats:italic>µ</jats:italic>m to 1.43 <jats:italic>µ</jats:italic>m under illumination at 1550 nm. We demonstrate both straight wires, as well as meandered structures. Single-photon sensitivity is shown in devices up to 4 mm in length. Laser-lithographically written devices allow for fast and easy structuring of large areas while maintaining a saturated internal efficiency for wire widths around 1 <jats:italic>µ</jats:italic>m.</jats:p>

Cryogenic integrated spontaneous parametric down-conversion

N.A. Lange, J.P. Höpker, R. Ricken, V. Quiring, C. Eigner, C. Silberhorn, T. Bartley, Optica (2022), 9(1), 108

Cryogenic electro-optic modulation in titanium in-diffused lithium niobate waveguides

F. Thiele, F. vom Bruch, J. Brockmeier, M. Protte, T. Hummel, R. Ricken, V. Quiring, S. Lengeling, H. Herrmann, C. Eigner, C. Silberhorn, T. Bartley, Journal of Physics: Photonics (2022), 4(3), 034004

<jats:title>Abstract</jats:title> <jats:p>Lithium niobate is a promising platform for integrated quantum optics. In this platform, we aim to efficiently manipulate and detect quantum states by combining superconducting single photon detectors and modulators. The cryogenic operation of a superconducting single photon detector dictates the optimisation of the electro-optic modulators under the same operating conditions. To that end, we characterise a phase modulator, directional coupler, and polarisation converter at both ambient and cryogenic temperatures. The operation voltage <jats:inline-formula> <jats:tex-math><?CDATA $V_{\pi/2}$?></jats:tex-math> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <mml:msub> <mml:mi>V</mml:mi> <mml:mrow> <mml:mi>π</mml:mi> <mml:mrow> <mml:mo>/</mml:mo> </mml:mrow> <mml:mn>2</mml:mn> </mml:mrow> </mml:msub> </mml:math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="jpphotonac6c63ieqn1.gif" xlink:type="simple" /> </jats:inline-formula> of these modulators increases, due to the decrease in the electro-optic effect, by 74% for the phase modulator, 84% for the directional coupler and 35% for the polarisation converter below 8.5<jats:inline-formula> <jats:tex-math><?CDATA $\,\mathrm{K}$?></jats:tex-math> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <mml:mrow> <mml:mi mathvariant="normal">K</mml:mi> </mml:mrow> </mml:math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="jpphotonac6c63ieqn2.gif" xlink:type="simple" /> </jats:inline-formula>. The phase modulator preserves its broadband nature and modulates light in the characterised wavelength range. The unbiased bar state of the directional coupler changed by a wavelength shift of 85<jats:inline-formula> <jats:tex-math><?CDATA $\,\mathrm{nm}$?></jats:tex-math> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <mml:mrow> <mml:mi mathvariant="normal">n</mml:mi> <mml:mi mathvariant="normal">m</mml:mi> </mml:mrow> </mml:math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="jpphotonac6c63ieqn3.gif" xlink:type="simple" /> </jats:inline-formula> while cooling the device down to 5<jats:inline-formula> <jats:tex-math><?CDATA $\,\mathrm{K}$?></jats:tex-math> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <mml:mrow> <mml:mi mathvariant="normal">K</mml:mi> </mml:mrow> </mml:math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="jpphotonac6c63ieqn4.gif" xlink:type="simple" /> </jats:inline-formula>. The polarisation converter uses periodic poling to phasematch the two orthogonal polarisations. The phasematched wavelength of the utilised poling changes by 112<jats:inline-formula> <jats:tex-math><?CDATA $\,\mathrm{nm}$?></jats:tex-math> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <mml:mrow> <mml:mi mathvariant="normal">n</mml:mi> <mml:mi mathvariant="normal">m</mml:mi> </mml:mrow> </mml:math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="jpphotonac6c63ieqn5.gif" xlink:type="simple" /> </jats:inline-formula> when cooling to 5<jats:inline-formula> <jats:tex-math><?CDATA $\,\mathrm{K}$?></jats:tex-math> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <mml:mrow> <mml:mi mathvariant="normal">K</mml:mi> </mml:mrow> </mml:math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="jpphotonac6c63ieqn6.gif" xlink:type="simple" /> </jats:inline-formula>.</jats:p>

Opto-electronic bias of a superconducting nanowire single photon detector using a cryogenic photodiode

F. Thiele, T. Hummel, M. Protte, T. Bartley, APL Photonics (2022), 7(8), 081303

<jats:p> Superconducting Nanowire Single Photon Detectors (SNSPDs) have become an integral part of quantum optics in recent years because of their high performance in single photon detection. We present a method to replace the electrical input by supplying the required bias current via the photocurrent of a photodiode situated on the cold stage of the cryostat. Light is guided to the bias photodiode through an optical fiber, which enables a lower thermal conduction and galvanic isolation between room temperature and the cold stage. We show that an off-the-shelf InGaAs–InP photodiode exhibits a responsivity of at least 0.55 A/W at 0.8 K. Using this device to bias an SNSPD, we characterize the count rate dependent on the optical power incident on the photodiode. This configuration of the SNSPD and photodiode shows an expected plateau in the single photon count rate with an optical bias power on the photodiode above 6.8 µW. Furthermore, we compare the same detector under both optical and electrical bias, and show there is no significant changes in performance. This has the advantage of avoiding an electrical input cable, which reduces the latent heat load by a factor of 100 and, in principle, allows for low loss RF current supply at the cold stage. </jats:p>

Multiple Rabi rotations of trions in InGaAs quantum dots observed by photon echo spectroscopy with spatially shaped laser pulses

S. Grisard, H. Rose, A.V. Trifonov, R. Reichhardt, D.E. Reiter, M. Reichelt, C. Schneider, M. Kamp, S. Höfling, M. Bayer, T. Meier, I.A. Akimov, Physical Review B (2022), 106(20), 205408

Semiclassical formulae For Wigner distributions

S. Barkhofen, P. Schütte, T. Weich, Journal of Physics A: Mathematical and Theoretical (2022), 55(24), 244007

In this paper we give an overview over some aspects of the modern mathematical theory of Ruelle resonances for chaotic, i.e. uniformly hyperbolic, dynamical systems and their implications in physics. First we recall recent developments in the mathematical theory of resonances, in particular how invariant Ruelle distributions arise as residues of weighted zeta functions. Then we derive a correspondence between weighted and semiclassical zeta functions in the setting of negatively curved surfaces. Combining this with results of Hilgert, Guillarmou and Weich yields a high frequency interpretation of invariant Ruelle distributions as quantum mechanical matrix coefficients in constant negative curvature. We finish by presenting numerical calculations of phase space distributions in the more physical setting of 3-disk scattering systems.

DC Ionic Conductivity in KTP and Its Isomorphs: Properties, Methods for Suppression, and Its Connection to Gray Tracking

L. Padberg, V. Quiring, A. Bocchini, M. Santandrea, U. Gerstmann, W.G. Schmidt, C. Silberhorn, C. Eigner, Crystals (2022), 12(10)

We study the DC conductivity in potassium titanyl phosphate (KTiOPO4, KTP) and its isomorphs KTiOAsO4 (KTA) and Rb1%K99%TiOPO4 (RKTP) and introduce a method by which to reduce the overall ionic conductivity in KTP by a potassium nitrate treatment. Furthermore, we create so-called gray tracking in KTP and investigate the ionic conductivity in theses areas. A local unintended reduction of the ionic conductivity is observed in the gray-tracked regions, which also induce additional optical absorption in the material. We show that a thermal treatment in an oxygen-rich atmosphere removes the gray tracking and brings the ionic conductivity as well as the optical transmission back to the original level. These studies can help to choose the best material and treatment for specific applications.

Steady states of Λ-type three-level systems excited by quantum light with various photon statistics in lossy cavities

H. Rose, O.V. Tikhonova, T. Meier, P. Sharapova, New Journal of Physics (2022), 24(6), 063020

<jats:title>Abstract</jats:title> <jats:p>The interaction between quantum light and matter is being intensively studied for systems that are enclosed in high-<jats:italic>Q</jats:italic> cavities which strongly enhance the light–matter coupling. Cavities with low <jats:italic>Q</jats:italic>-factors are generally given less attention due to their high losses that quickly destroy quantum systems. However, bad cavities can be utilized for several applications, where lower <jats:italic>Q</jats:italic>-factors are required, e.g., to increase the spectral width of the cavity mode. In this work, we demonstrate that low-<jats:italic>Q</jats:italic> cavities can be beneficial for preparing specific electronic steady states when certain quantum states of light are applied. We investigate the interaction between quantum light with various statistics and matter represented by a Λ-type three-level system in lossy cavities, assuming that cavity losses are the dominant loss mechanism. We show that cavity losses lead to non-trivial electronic steady states that can be controlled by the loss rate and the initial statistics of the quantum fields. We discuss the mechanism of the formation of such steady states on the basis of the equations of motion and present both analytical expressions and numerical simulations for such steady states.</jats:p>

Theoretical analysis of correlations between two quantum fields exciting a three-level system using the cluster-expansion approach

H. Rose, O.V. Tikhonova, T. Meier, P. Sharapova, in: Ultrafast Phenomena and Nanophotonics XXVI, SPIE, 2022

Direct Measurement of Higher-Order Nonlinear Polarization Squeezing

N. Prasannan, J. Sperling, B. Brecht, C. Silberhorn, Physical Review Letters (2022), 129(26), 263601

Pulse shaping for on-demand emission of single Raman photons from a quantum-dot biexciton

T. Praschan, D. Heinze, D. Breddermann, A. Zrenner, A. Walther, S. Schumacher, Physical Review B (2022), 105(4), 045302

Manipulating polariton condensates by Rashba-Dresselhaus coupling at room temperature

Y. Li, X. Ma, X. Zhai, M. Gao, H. Dai, S. Schumacher, T. Gao, Nature Communications (2022), 13(1), 3785

Driven Gaussian quantum walks

P. Held, M. Engelkemeier, S. De, S. Barkhofen, J. Sperling, C. Silberhorn, Physical Review A (2022), 105(4), 042210

Nonlinear down-conversion in a single quantum dot

B. Jonas, D. Heinze, E. Schöll, P. Kallert, T. Langer, S. Krehs, A. Widhalm, K. Jöns, D. Reuter, S. Schumacher, A. Zrenner, Nature Communications (2022), 13(1), 1387

<jats:title>Abstract</jats:title><jats:p>Tailored nanoscale quantum light sources, matching the specific needs of use cases, are crucial building blocks for photonic quantum technologies. Several different approaches to realize solid-state quantum emitters with high performance have been pursued and different concepts for energy tuning have been established. However, the properties of the emitted photons are always defined by the individual quantum emitter and can therefore not be controlled with full flexibility. Here we introduce an all-optical nonlinear method to tailor and control the single photon emission. We demonstrate a laser-controlled down-conversion process from an excited state of a semiconductor quantum three-level system. Based on this concept, we realize energy tuning and polarization control of the single photon emission with a control-laser field. Our results mark an important step towards tailored single photon emission from a photonic quantum system based on quantum optical principles.</jats:p>

Scalable Generation of Multiphoton Entangled States by Active Feed-Forward and Multiplexing

E. Meyer-Scott, N. Prasannan, I. Dhand, C. Eigner, V. Quiring, S. Barkhofen, B. Brecht, M.B. Plenio, C. Silberhorn, Physical Review Letters (2022), 129(15), 150501

Scalable Generation of Multiphoton Entangled States by Active Feed-Forward and Multiplexing

E. Meyer-Scott, N. Prasannan, I. Dhand, C. Eigner, V. Quiring, S. Barkhofen, B. Brecht, M.B. Plenio, C. Silberhorn, Physical Review Letters (2022), 129(15), 150501

Quantum-state creation in nonlinear-waveguide arrays

C.S. Hamilton, R. Christ, S. Barkhofen, S.M. Barnett, I. Jex, C. Silberhorn, Physical Review A (2022), 105(4), 042622

Scalable integration of quantum emitters into photonic integrated circuits

M. Sartison, O. Camacho Ibarra, K.D. Jöns, I. Caltzidis, D. Reuter, 2022

Optical secret sharing with cascaded metasurface holography

P. Georgi, Q. Wei, B. Sain, C. Schlickriede, Y. Wang, L. Huang, T. Zentgraf, Science Advances (2021), 7(16), eabf9718

<jats:p>Secret sharing is a well-established cryptographic primitive for storing highly sensitive information like encryption keys for encoded data. It describes the problem of splitting a secret into different shares, without revealing any information to its shareholders. Here, we demonstrate an all-optical solution for secret sharing based on metasurface holography. In our concept, metasurface holograms are used as spatially separable shares that carry encrypted messages in the form of holographic images. Two of these shares can be recombined by bringing them close together. Light passing through this stack of metasurfaces accumulates the phase shift of both holograms and optically reconstructs the secret with high fidelity. In addition, the hologram generated by each single metasurface can uniquely identify its shareholder. Furthermore, we demonstrate that the inherent translational alignment sensitivity between two stacked metasurface holograms can be used for spatial multiplexing, which can be further extended to realize optical rulers.</jats:p>

Observing 0D subwavelength-localized modes at ~100 THz protected by weak topology

J. Lu, K.G. Wirth, W. Gao, A. Heßler, B. Sain, T. Taubner, T. Zentgraf, Science Advances (2021), 7(49), eabl3903

Topological photonic crystals (TPhCs) provide robust manipulation of light with built-in immunity to fabrication tolerances and disorder. Recently, it was shown that TPhCs based on weak topology with a dislocation inherit this robustness and further host topologically protected lower-dimensional localized modes. However, TPhCs with weak topology at optical frequencies have not been demonstrated so far. Here, we use scattering-type scanning near-field optical microscopy to verify mid-bandgap zero-dimensional light localization close to 100 THz in a TPhC with nontrivial Zak phase and an edge dislocation. We show that because of the weak topology, differently extended dislocation centers induce similarly strong light localization. The experimental results are supported by full-field simulations. Along with the underlying fundamental physics, our results lay a foundation for the application of TPhCs based on weak topology in active topological nanophotonics, and nonlinear and quantum optic integrated devices because of their strong and robust light localization.

Porous SiO2 coated dielectric metasurface with consistent performance independent of environmental conditions

R. Geromel, C. Weinberger, K. Brormann, M. Tiemann, T. Zentgraf, Optical Materials Express (2021), 12(1), pp. 13-21

High frequency limits for invariant Ruelle densities

C. Guillarmou, J. Hilgert, T. Weich, Annales Henri Lebesgue (2021), 4, pp. 81-119

Quantum-Classical Correspondence on Associated Vector Bundles Over Locally Symmetric Spaces

B. Küster, T. Weich, International Mathematics Research Notices (2021), 2021(11), pp. 8225-8296

<jats:title>Abstract</jats:title> <jats:p>For a compact Riemannian locally symmetric space $\mathcal M$ of rank 1 and an associated vector bundle $\mathbf V_{\tau }$ over the unit cosphere bundle $S^{\ast }\mathcal M$, we give a precise description of those classical (Pollicott–Ruelle) resonant states on $\mathbf V_{\tau }$ that vanish under covariant derivatives in the Anosov-unstable directions of the chaotic geodesic flow on $S^{\ast }\mathcal M$. In particular, we show that they are isomorphically mapped by natural pushforwards into generalized common eigenspaces of the algebra of invariant differential operators $D(G,\sigma )$ on compatible associated vector bundles $\mathbf W_{\sigma }$ over $\mathcal M$. As a consequence of this description, we obtain an exact band structure of the Pollicott–Ruelle spectrum. Further, under some mild assumptions on the representations $\tau$ and $\sigma$ defining the bundles $\mathbf V_{\tau }$ and $\mathbf W_{\sigma }$, we obtain a very explicit description of the generalized common eigenspaces. This allows us to relate classical Pollicott–Ruelle resonances to quantum eigenvalues of a Laplacian in a suitable Hilbert space of sections of $\mathbf W_{\sigma }$. Our methods of proof are based on representation theory and Lie theory.</jats:p>

Effects of coherence on temporal resolution

S. De, J. Gil López, B. Brecht, C. Silberhorn, L.L. Sánchez-Soto, Z. Hradil, J. Řeháček, Physical Review Research (2021), 3(3), 033082

Continuous variable multimode quantum states via symmetric group velocity matching

V. Roman-Rodriguez, B. Brecht, K. Srinivasan, C. Silberhorn, N. Treps, E. Diamanti, V. Parigi, New Journal of Physics (2021), 23, 043012

Wave Front Sets of Nilpotent Lie Group Representations

T. Weich, J. Budde, in: arXiv:2103.02968v1, 2021

SRB Measures of Anosov Actions

T. Weich, Y. Guedes Bonthonneau, C. Guillarmou, in: arXiv:2103.12127, 2021

Controlling the emission time of photon echoes by optical freezing of exciton dephasing and rephasing in quantum-dot ensembles

M. Reichelt, H. Rose, A.N. Kosarev, S.V. Poltavtsev, M. Bayer, I.A. Akimov, C. Schneider, M. Kamp, S. Höfling, T. Meier, in: Ultrafast Phenomena and Nanophotonics XXV, 2021

Dark-state and loss-induced phenomena in the quantum-optical regime of Λ-type three-level systems

H. Rose, D.V. Popolitova, O.V. Tikhonova, T. Meier, P. Sharapova, Physical Review A (2021)

Theoretical analysis and simulations of two-dimensional Fourier transform spectroscopy performed on exciton-polaritons of a quantum-well microcavity system

H. Rose, J. Paul, J.K. Wahlstrand, A.D. Bristow, T. Meier, in: Ultrafast Phenomena and Nanophotonics XXV, 2021

Production of waveguides made of materials from the KTP family

L. Padberg, C. Eigner, M.. Santandrea, C. Silberhorn. Production of waveguides made of materials from the KTP family, Patent US 2021/0033944 A1. 2021.

Statistical Benchmarking of Scalable Photonic Quantum Systems

J. Tiedau, M. Engelkemeier, B. Brecht, J. Sperling, C. Silberhorn, Physical Review Letters (2021), 126, 023601

Generating two-mode squeezing with multimode measurement-induced nonlinearity

M. Riabinin, P. Sharapova, T. Bartley, T. Meier, Journal of Physics Communications (2021)

Ultrafast electric control of cavity mediated single-photon and photon-pair generation with semiconductor quantum dots

D. Bauch, D.F. Heinze, J. Förstner, K. Jöns, S. Schumacher, Physical Review B (2021), 104, pp. 085308

Employing the ultrafast control of electronic states of a semiconductor quantum dot in a cavity, we introduce an approach to achieve on-demand emission of single photons with almost perfect indistinguishability and photon pairs with near ideal entanglement. Our scheme is based on optical excitation off resonant to a cavity mode followed by ultrafast control of the electronic states using the time-dependent quantum-confined Stark effect, which then allows for cavity-resonant emission. Our theoretical analysis considers cavity-loss mechanisms, the Stark effect, and phonon-induced dephasing, allowing realistic predictions for finite temperatures.

Quantifying Quantum Coherence in Polariton Condensates

C. Lüders, M. Pukrop, E. Rozas, C. Schneider, S. Höfling, J. Sperling, S. Schumacher, M. Aßmann, PRX Quantum (2021)

Experimental entanglement characterization of two-rebit states

N. Prasannan, S. De, S. Barkhofen, B. Brecht, C. Silberhorn, J. Sperling, Physical Review A (2021), 103

The potential and global outlook of integrated photonics for quantum technologies

E. Pelucchi, G. Fagas, I. Aharonovich, D. Englund, E. Figueroa, Q. Gong, H. Hannes, J. Liu, C. Lu, N. Matsuda, J. Pan, F. Schreck, F. Sciarrino, C. Silberhorn, J. Wang, K. Jöns, Nature Reviews Physics (2021), 4(3), pp. 194-208

Probing the topological Anderson transition with quantum walks

D. Bagrets, K.W. Kim, S. Barkhofen, S. De, J. Sperling, C. Silberhorn, A. Altland, T. Micklitz, Physical Review Research (2021)

Transient subdiffusion via disordered quantum walks

A. Geraldi, S. De, A. Laneve, S. Barkhofen, J. Sperling, P. Mataloni, C. Silberhorn, Physical Review Research (2021)

Improved non-linear devices for quantum applications

J. Gil López, M. Santandrea, G. Roland, B. Brecht, C. Eigner, R. Ricken, V. Quiring, C. Silberhorn, New Journal of Physics (2021), 063082

Universal compressive tomography in the time-frequency domain

J. Gil López, Y.S. Teo, S. De, B. Brecht, H. Jeong, C. Silberhorn, L.L. Sánchez-Soto, Optica (2021), 1296

A dielectric metasurface optical chip for the generation of cold atoms

L. Zhu, X. Liu, B. Sain, M. Wang, C. Schlickriede, Y. Tang, J. Deng, K. Li, J. Yang, M. Holynski, S. Zhang, T. Zentgraf, K. Bongs, Y. Lien, G. Li, Science Advances (2020), 6(31), eabb6667

<jats:p>Compact and robust cold atom sources are increasingly important for quantum research, especially for transferring cutting-edge quantum science into practical applications. In this study, we report on a novel scheme that uses a metasurface optical chip to replace the conventional bulky optical elements used to produce a cold atomic ensemble with a single incident laser beam, which is split by the metasurface into multiple beams of the desired polarization states. Atom numbers ~10<jats:sup>7</jats:sup> and temperatures (about 35 μK) of relevance to quantum sensing are achieved in a compact and robust fashion. Our work highlights the substantial progress toward fully integrated cold atom quantum devices by exploiting metasurface optical chips, which may have great potential in quantum sensing, quantum computing, and other areas.</jats:p>

Polarization-Encrypted Orbital Angular Momentum Multiplexed Metasurface Holography

H. Zhou, B. Sain, Y. Wang, C. Schlickriede, R. Zhao, X. Zhang, Q. Wei, X. Li, L. Huang, T. Zentgraf, ACS Nano (2020), 14(5), pp. 5553–5559

Nonlinear imaging with all-dielectric metasurfaces

C. Schlickriede, S.S. Kruk, L. Wang, B. Sain, Y. Kivshar, T. Zentgraf, Nano Letters (2020), 20(6), pp. 4370–4376

Pollicott-Ruelle Resonant States and Betti Numbers

B. Küster, T. Weich, Communications in Mathematical Physics (2020), 378(2), pp. 917-941

<jats:title>Abstract</jats:title><jats:p>Given a closed orientable hyperbolic manifold of dimension <jats:inline-formula><jats:alternatives><jats:tex-math>$$\ne 3$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mo>≠</mml:mo> <mml:mn>3</mml:mn> </mml:mrow> </mml:math></jats:alternatives></jats:inline-formula> we prove that the multiplicity of the Pollicott-Ruelle resonance of the geodesic flow on perpendicular one-forms at zero agrees with the first Betti number of the manifold. Additionally, we prove that this equality is stable under small perturbations of the Riemannian metric and simultaneous small perturbations of the geodesic vector field within the class of contact vector fields. For more general perturbations we get bounds on the multiplicity of the resonance zero on all one-forms in terms of the first and zeroth Betti numbers. Furthermore, we identify for hyperbolic manifolds further resonance spaces whose multiplicities are given by higher Betti numbers. </jats:p>

Ruelle-Taylor resonaces of Anosov actions

T. Weich, Y. Guedes Bonthonneau, C. Guillarmou, J. Hilgert, in: arxiv:2007.14275v3, 2020

Accurate photon echo timing by optical freezing of exciton dephasing and rephasing in quantum dots

A.N. Kosarev, H. Rose, S.V. Poltavtsev, M. Reichelt, C. Schneider, M. Kamp, S. Höfling, M. Bayer, T. Meier, I.A. Akimov, Communications Physics (2020), 3

<jats:title>Abstract</jats:title><jats:p>Semiconductor quantum dots are excellent candidates for ultrafast coherent manipulation of qubits by laser pulses on picosecond timescales or even faster. In inhomogeneous ensembles a macroscopic optical polarization decays rapidly due to dephasing, which, however, is reversible in photon echoes carrying complete information about the coherent ensemble dynamics. Control of the echo emission time is mandatory for applications. Here, we propose a concept to reach this goal. In a two-pulse photon echo sequence, we apply an additional resonant control pulse with multiple of 2<jats:italic>π</jats:italic> area. Depending on its arrival time, the control slows down dephasing or rephasing of the exciton ensemble during its action. We demonstrate for self-assembled (In,Ga)As quantum dots that the photon echo emission time can be retarded or advanced by up to 5 ps relative to its nominal appearance time without control. This versatile protocol may be used to obtain significantly longer temporal shifts for suitably tailored control pulses.</jats:p>

Single-channel electronic readout of a multipixel superconducting nanowire single photon detector

J. Tiedau, T. Schapeler, V. Anant, H. Fedder, C. Silberhorn, T. Bartley, Optics Express (2020), 28(4), 5528

<jats:p>We present a time-over-threshold readout technique to count the number of activated pixels from an array of superconducting nanowire single photon detectors (SNSPDs). This technique places no additional heatload on the cryostat, and retains the intrinsic count rate of the time-tagger. We demonstrate proof-of-principle operation with respect to a four-pixel device. Furthermore, we show that, given some permissible error threshold, the number of pixels that can be reliably read out scales linearly with the intrinsic signal-to-noise ratio of the individual pixel response.</jats:p>

Roadmap on quantum light spectroscopy

S. Mukamel, M. Freyberger, W. Schleich, M. Bellini, A. Zavatta, G. Leuchs, C. Silberhorn, R.W. Boyd, L.L. Sánchez-Soto, A. Stefanov, M. Barbieri, A. Paterova, L. Krivitsky, S. Shwartz, K. Tamasaku, K. Dorfman, F. Schlawin, V. Sandoghdar, M. Raymer, A. Marcus, O. Varnavski, T. Goodson, Z. Zhou, B. Shi, S. Asban, M. Scully, G. Agarwal, T. Peng, A.V. Sokolov, Z. Zhang, M.S. Zubairy, I.A. Vartanyants, E. del Valle, F. Laussy, Journal of Physics B: Atomic, Molecular and Optical Physics (2020), 53(7), 072002

Single-photon sources: Approaching the ideal through multiplexing

E. Meyer-Scott, C. Silberhorn, A. Migdall, Review of Scientific Instruments (2020), 91(4), 041101

Distillation of squeezing using an engineered pulsed parametric down-conversion source

T. Dirmeier, J. Tiedau, I. Khan, V. Ansari, C.R. Müller, C. Silberhorn, C. Marquardt, G. Leuchs, Optics Express (2020), 28(21), 30784

<jats:p>Hybrid quantum information processing combines the advantages of discrete and continues variable protocols by realizing protocols consisting of photon counting and homodyne measurements. However, the mode structure of pulsed sources and the properties of the detection schemes often require the use of optical filters in order to combine both detection methods in a common experiment. This limits the efficiency and the overall achievable squeezing of the experiment. In our work, we use photon subtraction to implement the distillation of pulsed squeezed states originating from a genuinely spatially and temporally single-mode parametric down-conversion source in non-linear waveguides. Due to the distillation, we witness an improvement of 0.17 dB from an initial squeezing value of −1.648 ± 0.002 dB, while achieving a purity of 0.58, and confirm the non-Gaussianity of the distilled state via the higher-order cumulants. With this, we demonstrate the source’s suitability for scalable hybrid quantum network applications with pulsed quantum light.</jats:p>

Local Versus Global Two-Photon Interference in Quantum Networks

T. Nitsche, S. De, S. Barkhofen, E. Meyer-Scott, J. Tiedau, J. Sperling, A. Gábris, I. Jex, C. Silberhorn, Physical Review Letters (2020)

Improved fractal Weyl bounds for hyperbolic manifolds. With an appendix by David Borthwick, Semyon Dyatlov and Tobias Weich

S. Dyatlov, D. Borthwick, T. Weich, Journal of the European Mathematical Society (2019), 21(6), pp. 1595-1639

Herstellung von Wellenleitern aus Materialien der KTP-Familie

L. Padberg, C. Eigner, M. Santandrea, C. Silberhorn. Herstellung von Wellenleitern aus Materialien der KTP-Familie, Patent DE 10 2018 108 636 A1. 2019.

Nonlinear integrated quantum electro-optic circuits

K. Luo, S. Brauner, C. Eigner, P. Sharapova, R. Ricken, T. Meier, H. Herrmann, C. Silberhorn, Science Advances (2019), 5(1)

<jats:p>An integrated chip with quantum state generation, active polarization manipulation, and precise time control is demonstrated.</jats:p>

Global Normal Form and Asymptotic Spectral Gap for Open Partially Expanding Maps

F. Faure, T. Weich, Communications in Mathematical Physics (2017), 356(3), pp. 755-822

Classical and quantum resonances for hyperbolic surfaces

C. Guillarmou, J. Hilgert, T. Weich, Mathematische Annalen (2017), 370(3-4), pp. 1231-1275

Wave front sets of reductive Lie group representations III

B. Harris, T. Weich, Advances in Mathematics (2017), 313, pp. 176-236

Symmetry reduction of holomorphic iterated function schemes and factorization of Selberg zeta functions

D. Borthwick, T. Weich, Journal of Spectral Theory (2016), 6(2), pp. 267-329

On the Support of Pollicott–Ruelle Resonanant States for Anosov Flows

T. Weich, Annales Henri Poincaré (2016), 18(1), pp. 37-52

Asymptotic spectral gap and Weyl law for Ruelle resonances of open partially expanding maps

J.F. ARNOLDI, F. FAURE, T. Weich, Ergodic Theory and Dynamical Systems (2015), 37(1), pp. 1-58

<jats:p>We consider a simple model of an open partially expanding map. Its trapped set <jats:inline-formula><jats:alternatives><jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" mime-subtype="gif" xlink:type="simple" xlink:href="S0143385715000346_inline1" /><jats:tex-math>${\mathcal{K}}$</jats:tex-math></jats:alternatives></jats:inline-formula> in phase space is a fractal set. We first show that there is a well-defined discrete spectrum of Ruelle resonances which describes the asymptotic of correlation functions for large time and which is parametrized by the Fourier component <jats:inline-formula><jats:alternatives><jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" mime-subtype="gif" xlink:type="simple" xlink:href="S0143385715000346_inline2" /><jats:tex-math>$\unicode[STIX]{x1D708}$</jats:tex-math></jats:alternatives></jats:inline-formula> in the neutral direction of the dynamics. We introduce a specific hypothesis on the dynamics that we call ‘minimal captivity’. This hypothesis is stable under perturbations and means that the dynamics is univalued in a neighborhood of <jats:inline-formula><jats:alternatives><jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" mime-subtype="gif" xlink:type="simple" xlink:href="S0143385715000346_inline3" /><jats:tex-math>${\mathcal{K}}$</jats:tex-math></jats:alternatives></jats:inline-formula>. Under this hypothesis we show the existence of an asymptotic spectral gap and a fractal Weyl law for the upper bound of density of Ruelle resonances in the semiclassical limit <jats:inline-formula><jats:alternatives><jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" mime-subtype="gif" xlink:type="simple" xlink:href="S0143385715000346_inline4" /><jats:tex-math>$\unicode[STIX]{x1D708}\rightarrow \infty$</jats:tex-math></jats:alternatives></jats:inline-formula>. Some numerical computations with the truncated Gauss map and Bowen–Series maps illustrate these results.</jats:p>

Resonance Chains and Geometric Limits on Schottky Surfaces

T. Weich, Communications in Mathematical Physics (2015), 337(2), pp. 727-765

Storage of hyperentanglement in a solid-state quantum memory

A. Tiranov, J. Lavoie, A. Ferrier, P. Goldner, V.B. Verma, S.W. Nam, R.P. Mirin, A.E. Lita, F. Marsili, H. Herrmann, C. Silberhorn, N. Gisin, M. Afzelius, F. Bussières, Optica (2015), 2(4), 279

Equivariant spectral asymptotics for<i>h</i>-pseudodifferential operators

T. Weich, Journal of Mathematical Physics (2014), 55(10), 101501

Real-time coherent detection of phase modulated ultrashort pulses after time-to-space conversion and spatial demultiplexing

D. Shayovitz, H. Herrmann, W. Sohler, R. Ricken, C. Silberhorn, D.M. Marom, Optics Express (2014), 22(25), 31138

Weyl asymptotics: From closed to open systems

A. Potzuweit, T. Weich, S. Barkhofen, U. Kuhl, H. Stöckmann, M. Zworski, Physical Review E (2012), 86(6), 066205

High resolution time-to-space conversion of sub-picosecond pulses at 155µm by non-degenerate SFG in PPLN crystal

D. Shayovitz, H. Herrmann, W. Sohler, R. Ricken, C. Silberhorn, D.M. Marom, Optics Express (2012), 20(24), 27388

Characteristics of displaced single photons attained via higher order factorial moments

K. Laiho, M. Avenhaus, C. Silberhorn, New Journal of Physics (2012), 14(10), 105011

Quantum Key Distribution with Bright Entangled Beams

C. Silberhorn, N. Korolkova, G. Leuchs, Physical Review Letters (2002), 88(16), 167902

Open list in Research Information System

Thomas Hummel and co-authors demonstrate SNSPD gating in the nanosecond range for the first time.

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