{"abstract":[{"lang":"eng","text":"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."}],"date_created":"2023-03-29T20:28:20Z","publication_status":"published","type":"conference","doi":"10.1117/12.2647700","project":[{"name":"TRR 142: TRR 142","grant_number":"231447078","_id":"53"},{"name":"TRR 142 - A: TRR 142 - Project Area A","_id":"54"},{"_id":"59","grant_number":"231447078","name":"TRR 142 - A02: TRR 142 - Subproject A02"},{"name":"TRR 142 - A10: TRR 142 - Subproject A10","_id":"165","grant_number":"231447078"}],"status":"public","article_number":"124190H","series_title":"SPIE Proceedings","citation":{"ieee":"H. Rose <i>et al.</i>, “Theoretical analysis of four-wave mixing on semiconductor quantum dot ensembles with quantum light,” in <i>Ultrafast Phenomena and Nanophotonics XXVII</i>, 2023, vol. 12419, doi: <a href=\"https://doi.org/10.1117/12.2647700\">10.1117/12.2647700</a>.","bibtex":"@inproceedings{Rose_Grisard_Trifonov_Reichhardt_Reichelt_Bayer_Akimov_Meier_2023, series={SPIE Proceedings}, title={Theoretical analysis of four-wave mixing on semiconductor quantum dot ensembles with quantum light}, volume={12419}, DOI={<a href=\"https://doi.org/10.1117/12.2647700\">10.1117/12.2647700</a>}, number={124190H}, booktitle={Ultrafast Phenomena and Nanophotonics XXVII}, publisher={SPIE}, 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}, year={2023}, collection={SPIE Proceedings} }","apa":"Rose, H., Grisard, S., Trifonov, A. V., Reichhardt, R., Reichelt, M., Bayer, M., Akimov, I. A., &#38; Meier, T. (2023). Theoretical analysis of four-wave mixing on semiconductor quantum dot ensembles with quantum light. <i>Ultrafast Phenomena and Nanophotonics XXVII</i>, <i>12419</i>, Article 124190H. <a href=\"https://doi.org/10.1117/12.2647700\">https://doi.org/10.1117/12.2647700</a>","mla":"Rose, Hendrik, et al. “Theoretical Analysis of Four-Wave Mixing on Semiconductor Quantum Dot Ensembles with Quantum Light.” <i>Ultrafast Phenomena and Nanophotonics XXVII</i>, vol. 12419, 124190H, SPIE, 2023, doi:<a href=\"https://doi.org/10.1117/12.2647700\">10.1117/12.2647700</a>.","chicago":"Rose, Hendrik, S. Grisard, A. V. Trifonov, R. Reichhardt, Matthias Reichelt, M. Bayer, I. A.  Akimov, and Torsten Meier. “Theoretical Analysis of Four-Wave Mixing on Semiconductor Quantum Dot Ensembles with Quantum Light.” In <i>Ultrafast Phenomena and Nanophotonics XXVII</i>, Vol. 12419. SPIE Proceedings. SPIE, 2023. <a href=\"https://doi.org/10.1117/12.2647700\">https://doi.org/10.1117/12.2647700</a>.","short":"H. Rose, S. Grisard, A.V. Trifonov, R. Reichhardt, M. Reichelt, M. Bayer, I.A. Akimov, T. Meier, in: Ultrafast Phenomena and Nanophotonics XXVII, SPIE, 2023.","ama":"Rose H, Grisard S, Trifonov AV, et al. Theoretical analysis of four-wave mixing on semiconductor quantum dot ensembles with quantum light. In: <i>Ultrafast Phenomena and Nanophotonics XXVII</i>. Vol 12419. SPIE Proceedings. SPIE; 2023. doi:<a href=\"https://doi.org/10.1117/12.2647700\">10.1117/12.2647700</a>"},"date_updated":"2023-06-16T17:54:41Z","_id":"43192","publication":"Ultrafast Phenomena and Nanophotonics XXVII","language":[{"iso":"eng"}],"publisher":"SPIE","title":"Theoretical analysis of four-wave mixing on semiconductor quantum dot ensembles with quantum light","volume":12419,"author":[{"orcid":"0000-0002-3079-5428","full_name":"Rose, Hendrik","last_name":"Rose","first_name":"Hendrik","id":"55958"},{"first_name":"S.","full_name":"Grisard, S.","last_name":"Grisard"},{"first_name":"A. V.","full_name":"Trifonov, A. V.","last_name":"Trifonov"},{"first_name":"R.","last_name":"Reichhardt","full_name":"Reichhardt, R."},{"id":"138","first_name":"Matthias","last_name":"Reichelt","full_name":"Reichelt, Matthias"},{"first_name":"M.","full_name":"Bayer, M.","last_name":"Bayer"},{"full_name":"Akimov, I. A. ","last_name":"Akimov","first_name":"I. A. "},{"id":"344","first_name":"Torsten","full_name":"Meier, Torsten","last_name":"Meier","orcid":"0000-0001-8864-2072"}],"year":"2023","department":[{"_id":"293"},{"_id":"35"},{"_id":"15"},{"_id":"170"},{"_id":"429"},{"_id":"230"},{"_id":"623"}],"user_id":"55958","intvolume":"     12419"}