@article{61246,
abstract = {{Abstract
The time-dependent one-dimensional nonlinear Schrödinger equation (NLSE) is solved numerically by a hybrid pseudospectral-variational quantum algorithm that connects a pseudospectral step for the Hamiltonian term with a variational step for the nonlinear term. The Hamiltonian term is treated as an integrating factor by forward and backward Fourier transforms, which are here carried out classically. This split allows us to avoid higher-order time integration schemes, to apply a first-order explicit time stepping for the remaining nonlinear NLSE term in a variational algorithm block, and thus to avoid numerical instabilities. We demonstrate that the analytical solution is reproduced with a small root mean square error for a long time interval over which a nonlinear soliton propagates significantly forward in space while keeping its shape. We analyze the accuracy and complexity of the quantum algorithm, the expressibility of the ansatz circuit and compare it with classical approaches. Furthermore, we investigate the influence of algorithm parameters on the accuracy of the results, including the temporal step width and the depth of the quantum circuit.}},
author = {{Köcher, Nikolas and Rose, Hendrik and Bharadwaj, Sachin S. and Schumacher, Jörg and Schumacher, Stefan}},
issn = {{2045-2322}},
journal = {{Scientific Reports}},
number = {{1}},
publisher = {{Springer Science and Business Media LLC}},
title = {{{Numerical solution of nonlinear Schrödinger equation by a hybrid pseudospectral-variational quantum algorithm}}},
doi = {{10.1038/s41598-025-05660-3}},
volume = {{15}},
year = {{2025}},
}
@inproceedings{62913,
author = {{Hunstig, Anna and Peitz, Sebastian and Rose, Hendrik and Meier, Torsten}},
booktitle = {{2024 IEEE 63rd Conference on Decision and Control (CDC)}},
publisher = {{IEEE}},
title = {{{Accelerating the analysis of optical quantum systems using the Koopman operator}}},
doi = {{10.1109/cdc56724.2024.10886589}},
year = {{2025}},
}
@article{63160,
author = {{Rose, Hendrik and Schumacher, Stefan and Meier, Torsten}},
issn = {{2469-9950}},
journal = {{Physical Review B}},
number = {{24}},
publisher = {{American Physical Society (APS)}},
title = {{{Microscopic approach to the quantized light-matter interaction in semiconductor nanostructures: Complex coupled dynamics of excitons, biexcitons, and photons}}},
doi = {{10.1103/528f-7smh}},
volume = {{112}},
year = {{2025}},
}
@misc{54405,
abstract = {{Dataset of the publication "Microscopic simulations of the dynamics of excitonic many-body correlations coupled to quantum light" H. Rose, P. R. Sharapova, and T. Meier, Proc. SPIE 12884, Ultrafast Phenomena and Nanophotonics XXVIII, 1288403 (2024). ( https://doi.org/10.1117/12.2690245 ). The zip file includes the data on which the plots shown in figures 1 and 2 are based.}},
author = {{Rose, Hendrik and Sharapova, Polina and Meier, Torsten}},
publisher = {{LibreCat University}},
title = {{{Microscopic simulations of the dynamics of excitonic many-body correlations coupled to quantum light}}},
doi = {{10.5281/ZENODO.10817980}},
year = {{2024}},
}
@inproceedings{55268,
author = {{Rose, Hendrik and Sharapova, Polina R. and Meier, Torsten}},
booktitle = {{Ultrafast Phenomena and Nanophotonics XXVIII}},
editor = {{Betz, Markus and Elezzabi, Abdulhakem Y.}},
publisher = {{SPIE}},
title = {{{Microscopic simulations of the dynamics of excitonic many-body correlations coupled to quantum light}}},
doi = {{10.1117/12.2690245}},
year = {{2024}},
}
@unpublished{48502,
abstract = {{The prediction of photon echoes is an important technique for gaining an understanding of optical quantum systems. However, this requires a large number of simulations with varying parameters and/or input pulses, which renders numerical studies expensive. This article investigates how we can use data-driven surrogate models based on the Koopman operator to accelerate this process. In order to be successful, we require a model that is accurate over a large number of time steps. To this end, we employ a bilinear Koopman model using extended dynamic mode decomposition and simulate the optical Bloch equations for an ensemble of inhomogeneously broadened two-level systems. Such systems are well suited to describe the excitation of excitonic resonances in semiconductor nanostructures, for example, ensembles of semiconductor quantum dots. We perform a detailed study on the required number of system simulations such that the resulting data-driven Koopman model is sufficiently accurate for a wide range of parameter settings. We analyze the L2 error and the relative error of the photon echo peak and investigate how the control positions relate to the stabilization. After proper training, the dynamics of the quantum ensemble can be predicted accurately and numerically very efficiently by our methods.}},
author = {{Peitz, Sebastian and Hunstig, Anna and Rose, Hendrik and Meier, Torsten}},
title = {{{Accelerating the analysis of optical quantum systems using the Koopman operator}}},
year = {{2023}},
}
@misc{54407,
abstract = {{Dataset of the publication "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, and P. R. Sharapova, Phys. Rev. A 107, 013703 (2023). ( https://doi.org/10.1103/PhysRevA.107.013703 ). The zip file includes the data on which the plots shown in figures 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, and 11 are based.}},
author = {{Rose, Hendrik and Vasil'ev, Andrey N. and Tikhonova, Olga V. and Meier, Torsten and Sharapova, Polina}},
publisher = {{LibreCat University}},
title = {{{Quantum-optical excitations of semiconductor nanostructures in a microcavity using a two-band model and a single-mode quantum field}}},
doi = {{10.5281/ZENODO.7554556}},
year = {{2023}},
}
@misc{53298,
abstract = {{Dataset of the publication "Theoretical analysis of four-wave mixing on semiconductor quantum dot ensembles with quantum light" H. Rose, S. Grisard, A. V. Trifonov, R. Reichhardt, M. Reichelt, M. Bayer, I. A. Akimov, and T. Meier, Proc. SPIE 12419, Ultrafast Phenomena and Nanophotonics XXVII, 124190H (2023). ( https://doi.org/10.1117/12.2647700 ). The zip file includes the data on which the plots shown in figures 1 and 2 are based.}},
author = {{Rose, Hendrik and Grisard, Stefan and Trifonov, Artur V. and Reichhardt, Rilana and Reichelt, Matthias and Bayer, Manfred and Akimov, Ilya A. and Meier, Torsten}},
publisher = {{LibreCat University}},
title = {{{Theoretical analysis of four-wave mixing on semiconductor quantum dot ensembles with quantum light}}},
doi = {{10.5281/ZENODO.7755761}},
year = {{2023}},
}
@article{55901,
author = {{Grisard, Stefan and Trifonov, Artur V. and Rose, Hendrik and Reichhardt, Rilana and Reichelt, Matthias and Schneider, Christian and Kamp, Martin and Höfling, Sven and Bayer, Manfred and Meier, Torsten and Akimov, Ilya A.}},
issn = {{2330-4022}},
journal = {{ACS Photonics}},
number = {{9}},
pages = {{3161--3170}},
publisher = {{American Chemical Society (ACS)}},
title = {{{Temporal Sorting of Optical Multiwave-Mixing Processes in Semiconductor Quantum Dots}}},
doi = {{10.1021/acsphotonics.3c00530}},
volume = {{10}},
year = {{2023}},
}
@article{37280,
author = {{Rose, Hendrik and Vasil'ev, A. N. and Tikhonova, O. V. and Meier, Torsten and Sharapova, Polina}},
issn = {{2469-9926}},
journal = {{Physical Review A}},
number = {{1}},
publisher = {{American Physical Society (APS)}},
title = {{{Quantum-optical excitations of semiconductor nanostructures in a microcavity using a two-band model and a single-mode quantum field}}},
doi = {{10.1103/physreva.107.013703}},
volume = {{107}},
year = {{2023}},
}
@unpublished{43132,
author = {{Meier, Torsten and Grisard, S. and Trifonov, A.V. and Rose, Hendrik and Reichhardt, R. and Reichelt, Matthias and Schneider, C. and Kamp, M. and Höfling, S. and Bayer, M. and Akimov, I.A}},
booktitle = {{arxiv:2302.02480}},
title = {{{Temporal sorting of optical multi-wave-mixing processes in semiconductor quantum dots}}},
year = {{2023}},
}
@inproceedings{43192,
abstract = {{The nonlinear optical response of an ensemble of semiconductor quantum dots is analyzed by wave-mixing processes, where we focus on four-wave mixing with two incident pulses. Wave-mixing experiments are often described with semiclassical models, where the light is modeled classically and the material quantum mechanically. Here, however, we use a fully quantized model, where the light is given by a quantum state of light. Quantum light involves more degrees of freedom than classical light as e.g., its photon statistics and quantum correlations, which is a promising resource for quantum devices, such as quantum memories. The light-matter interaction is treated with a Jaynes-Cummings type model and the quantum field is given by a single mode since the quantum dots are embedded in a microcavity. We present numerical simulations of the four-wave-mixing response of a homogeneous system for pulse sequences and find a significant dependence of the result on the photon statistics of the incident pulses. The model constitutes a problem with a large state space which arises from the frequency distribution of the transition energies of the inhomogeneously broadened quantum dot ensemble that is coupled with a quantum light mode. Here we approximate the dynamics by summing over individual quantum dot-microcavity systems. Photon echoes arising from the excitation with different quantum states of light are simulated and compared.}},
author = {{Rose, Hendrik and Grisard, S. and Trifonov, A. V. and Reichhardt, R. and Reichelt, Matthias and Bayer, M. and Akimov, I. A. and Meier, Torsten}},
booktitle = {{Ultrafast Phenomena and Nanophotonics XXVII}},
publisher = {{SPIE}},
title = {{{Theoretical analysis of four-wave mixing on semiconductor quantum dot ensembles with quantum light}}},
doi = {{10.1117/12.2647700}},
volume = {{12419}},
year = {{2023}},
}
@article{37318,
abstract = {{Abstract
The interaction between quantum light and matter is being intensively studied for systems that are enclosed in high-Q cavities which strongly enhance the light–matter coupling. Cavities with low Q-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 Q-factors are required, e.g., to increase the spectral width of the cavity mode. In this work, we demonstrate that low-Q 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.}},
author = {{Rose, Hendrik and Tikhonova, O V and Meier, Torsten and Sharapova, Polina}},
issn = {{1367-2630}},
journal = {{New Journal of Physics}},
keywords = {{General Physics and Astronomy}},
number = {{6}},
publisher = {{IOP Publishing}},
title = {{{Steady states of Λ-type three-level systems excited by quantum light with various photon statistics in lossy cavities}}},
doi = {{10.1088/1367-2630/ac74d8}},
volume = {{24}},
year = {{2022}},
}
@article{37319,
author = {{Grisard, S. and Rose, Hendrik and Trifonov, A. V. and Reichhardt, R. and Reiter, D. E. and Reichelt, Matthias and Schneider, C. and Kamp, M. and Höfling, S. and Bayer, M. and Meier, Torsten and Akimov, I. A.}},
issn = {{2469-9950}},
journal = {{Physical Review B}},
number = {{20}},
publisher = {{American Physical Society (APS)}},
title = {{{Multiple Rabi rotations of trions in InGaAs quantum dots observed by photon echo spectroscopy with spatially shaped laser pulses}}},
doi = {{10.1103/physrevb.106.205408}},
volume = {{106}},
year = {{2022}},
}
@inproceedings{37327,
author = {{Rose, Hendrik and Tikhonova, Olga V. and Meier, Torsten and Sharapova, Polina}},
booktitle = {{Ultrafast Phenomena and Nanophotonics XXVI}},
editor = {{Betz, Markus and Elezzabi, Abdulhakem Y.}},
title = {{{Theoretical analysis of correlations between two quantum fields exciting a three-level system using the cluster-expansion approach}}},
doi = {{10.1117/12.2608528}},
volume = {{11999}},
year = {{2022}},
}
@article{37323,
author = {{Paul, J. and Rose, Hendrik and Swagel, E. and Meier, Torsten and Wahlstrand, J. K. and Bristow, A. D.}},
issn = {{2469-9950}},
journal = {{Physical Review B}},
number = {{11}},
publisher = {{American Physical Society (APS)}},
title = {{{Coherent contributions to population dynamics in a semiconductor microcavity}}},
doi = {{10.1103/physrevb.105.115307}},
volume = {{105}},
year = {{2022}},
}
@misc{54403,
abstract = {{Dataset of the publication “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. Bristow, and T. Meier, Proceedings of the SPIE 11684, 1168414 (2021) ( https://doi.org/10.1117/12.2576696 ). The zip file includes the data on which the plots shown in figure 2 are based.}},
author = {{Rose, Hendrik and Paul, Jagannath and Wahlstrand, Jared K. and Bristow, Alan D. and Meier, Torsten}},
publisher = {{LibreCat University}},
title = {{{Theoretical analysis and simulations of two-dimensional Fourier transform spectroscopy performed on exciton-polaritons of a quantum-well microcavity system}}},
doi = {{10.5281/ZENODO.5153619}},
year = {{2021}},
}
@misc{54408,
abstract = {{Dataset of the publication “Accurate photon echo timing by optical freezing of exciton dephasing and rephasing in quantum dots“, ( https://doi.org/10.1038/s42005-020-00491-2 ). The zip file includes the data on which the plots shown in figures 2-5 of the main text, and supplementary figures S1-S5 are based.}},
author = {{Kosarev, Alexander and Rose, Hendrik and Poltavtsev, Sergey and Reichelt, Matthias and Schneider, Christian and Kamp, Martin and Höfling, Sven and Bayer, Manfred and Meier, Torsten and Akimov, Ilya}},
publisher = {{LibreCat University}},
title = {{{Accurate photon echo timing by optical freezing of exciton dephasing and rephasing in quantum dots}}},
doi = {{10.5281/ZENODO.5226662}},
year = {{2021}},
}
@misc{54401,
abstract = {{Dataset of the publication “Controlling the emission time of photon echoes by optical freezing of exciton dephasing and rephasing in quantum-dot ensembles“, Proc. SPIE 11684,116840X (2021) ( https://doi.org/10.1117/12.2576887 ). The zip file includes the data on which the figures are based, the gnuplot files for the figures, and an explaining readme.txt.}},
author = {{Reichelt, Matthias and Rose, Hendrik and Kosarev, Alexander N. and Poltavtsev, Sergey V. and Bayer, Manfred and Akimov, Ilya A. and Schneider, Christian and Kamp, Martin and Höfling, Sven and Meier, Torsten}},
publisher = {{LibreCat University}},
title = {{{Controlling the emission time of photon echoes by optical freezing of exciton dephasing and rephasing in quantum-dot ensembles}}},
doi = {{10.5281/ZENODO.5226911}},
year = {{2021}},
}
@misc{55559,
abstract = {{In this report, we consider a semiconductor nanostructure in an optical cavity that is coupled to quantum light. We describe the semiconductor nanostructure with a parabolic band structure in a 1D k-space, while we assume a single-mode quantum field. The 1D
system is chosen for simplicity in both the analytical and the numerical treatment and paves the way for the description of 2D structures in the future. Therefore, instead of using parameters which are realistic for 1D systems, we rather use parameters which qualitatively correspond to 2D GaAs structures.}},
author = {{Rose, Hendrik and Vasil'ev, A.N. and Tikhonova, O.V. and Meier, Torsten and Sharapova, Polina R.}},
publisher = {{LibreCat University}},
title = {{{Excitation of an electronic band structure by a single-photon Fock state}}},
doi = {{10.5281/ZENODO.5774986}},
year = {{2021}},
}