[{"publication":"Computer Physics Communications","abstract":[{"lang":"eng","text":"In this work, we introduce PHOENIX, a highly optimized explicit open-source solver for two-dimensional nonlinear Schrödinger equations with extensions. The nonlinear Schrödinger equation and its extensions (Gross-Pitaevskii equation) are widely studied to model and analyze complex phenomena in fields such as optics, condensed matter physics, fluid dynamics, and plasma physics. It serves as a powerful tool for understanding nonlinear wave dynamics, soliton formation, and the interplay between nonlinearity, dispersion, and diffraction. By extending the nonlinear Schrödinger equation, various physical effects such as non-Hermiticity, spin-orbit interaction, and quantum optical aspects can be incorporated. PHOENIX is designed to accommodate a wide range of applications by a straightforward extendability without the need for user knowledge of computing architectures or performance optimization. The high performance and power efficiency of PHOENIX are demonstrated on a wide range of entry-class to high-end consumer and high-performance computing GPUs and CPUs. Compared to a more conventional MATLAB implementation, a speedup of up to three orders of magnitude and energy savings of up to 99.8% are achieved. The performance is compared to a performance model showing that PHOENIX performs close to the relevant performance bounds in many situations. The possibilities of PHOENIX are demonstrated with a range of practical examples from the realm of nonlinear (quantum) photonics in planar microresonators with active media including exciton-polariton condensates. Examples range from solutions on very large grids, the use of local optimization algorithms, to Monte Carlo ensemble evolutions with quantum noise enabling the tomography of the system's quantum state."}],"language":[{"iso":"eng"}],"year":"2025","publisher":"Elsevier BV","date_created":"2025-06-23T07:38:52Z","title":"PHOENIX – Paderborn highly optimized and energy efficient solver for two-dimensional nonlinear Schrödinger equations with integrated extensions","type":"journal_article","status":"public","project":[{"_id":"52","name":"PC2: Computing Resources Provided by the Paderborn Center for Parallel Computing"}],"_id":"60298","user_id":"75963","department":[{"_id":"27"}],"article_type":"original","article_number":"109689","publication_status":"published","publication_identifier":{"issn":["0010-4655"]},"citation":{"ieee":"J. Wingenbach, D. Bauch, X. Ma, R. Schade, C. Plessl, and S. Schumacher, “PHOENIX – Paderborn highly optimized and energy efficient solver for two-dimensional nonlinear Schrödinger equations with integrated extensions,” <i>Computer Physics Communications</i>, vol. 315, Art. no. 109689, 2025, doi: <a href=\"https://doi.org/10.1016/j.cpc.2025.109689\">10.1016/j.cpc.2025.109689</a>.","chicago":"Wingenbach, Jan, David Bauch, Xuekai Ma, Robert Schade, Christian Plessl, and Stefan Schumacher. “PHOENIX – Paderborn Highly Optimized and Energy Efficient Solver for Two-Dimensional Nonlinear Schrödinger Equations with Integrated Extensions.” <i>Computer Physics Communications</i> 315 (2025). <a href=\"https://doi.org/10.1016/j.cpc.2025.109689\">https://doi.org/10.1016/j.cpc.2025.109689</a>.","ama":"Wingenbach J, Bauch D, Ma X, Schade R, Plessl C, Schumacher S. PHOENIX – Paderborn highly optimized and energy efficient solver for two-dimensional nonlinear Schrödinger equations with integrated extensions. <i>Computer Physics Communications</i>. 2025;315. doi:<a href=\"https://doi.org/10.1016/j.cpc.2025.109689\">10.1016/j.cpc.2025.109689</a>","bibtex":"@article{Wingenbach_Bauch_Ma_Schade_Plessl_Schumacher_2025, title={PHOENIX – Paderborn highly optimized and energy efficient solver for two-dimensional nonlinear Schrödinger equations with integrated extensions}, volume={315}, DOI={<a href=\"https://doi.org/10.1016/j.cpc.2025.109689\">10.1016/j.cpc.2025.109689</a>}, number={109689}, journal={Computer Physics Communications}, publisher={Elsevier BV}, author={Wingenbach, Jan and Bauch, David and Ma, Xuekai and Schade, Robert and Plessl, Christian and Schumacher, Stefan}, year={2025} }","short":"J. Wingenbach, D. Bauch, X. Ma, R. Schade, C. Plessl, S. Schumacher, Computer Physics Communications 315 (2025).","mla":"Wingenbach, Jan, et al. “PHOENIX – Paderborn Highly Optimized and Energy Efficient Solver for Two-Dimensional Nonlinear Schrödinger Equations with Integrated Extensions.” <i>Computer Physics Communications</i>, vol. 315, 109689, Elsevier BV, 2025, doi:<a href=\"https://doi.org/10.1016/j.cpc.2025.109689\">10.1016/j.cpc.2025.109689</a>.","apa":"Wingenbach, J., Bauch, D., Ma, X., Schade, R., Plessl, C., &#38; Schumacher, S. (2025). PHOENIX – Paderborn highly optimized and energy efficient solver for two-dimensional nonlinear Schrödinger equations with integrated extensions. <i>Computer Physics Communications</i>, <i>315</i>, Article 109689. <a href=\"https://doi.org/10.1016/j.cpc.2025.109689\">https://doi.org/10.1016/j.cpc.2025.109689</a>"},"intvolume":"       315","date_updated":"2025-06-29T12:00:36Z","author":[{"first_name":"Jan","full_name":"Wingenbach, Jan","id":"69187","last_name":"Wingenbach"},{"first_name":"David","id":"44172","full_name":"Bauch, David","last_name":"Bauch"},{"first_name":"Xuekai","last_name":"Ma","id":"59416","full_name":"Ma, Xuekai"},{"orcid":"0000-0002-6268-5397","last_name":"Schade","full_name":"Schade, Robert","id":"75963","first_name":"Robert"},{"first_name":"Christian","last_name":"Plessl","orcid":"0000-0001-5728-9982","full_name":"Plessl, Christian","id":"16153"},{"last_name":"Schumacher","orcid":"0000-0003-4042-4951","id":"27271","full_name":"Schumacher, Stefan","first_name":"Stefan"}],"volume":315,"doi":"10.1016/j.cpc.2025.109689"},{"language":[{"iso":"eng"}],"article_number":"L012017","department":[{"_id":"230"},{"_id":"623"},{"_id":"15"},{"_id":"170"},{"_id":"297"}],"user_id":"90283","_id":"50829","project":[{"name":"TRR 142 - C09: TRR 142 - Ideale Erzeugung von Photonenpaaren für Verschränkungsaustausch bei Telekom Wellenlängen (C09*)","_id":"173","grant_number":"231447078"},{"_id":"52","name":"PC2: Computing Resources Provided by the Paderborn Center for Parallel Computing"}],"status":"public","publication":"Physical Review Research","type":"journal_article","doi":"10.1103/PhysRevResearch.6.L012017","title":"Swing-up dynamics in quantum emitter cavity systems: Near ideal single photons and entangled photon pairs","volume":6,"date_created":"2024-01-24T15:17:37Z","author":[{"first_name":"Nils","last_name":"Heinisch","full_name":"Heinisch, Nils","id":"90283"},{"full_name":"Köcher, Nikolas","id":"79191","last_name":"Köcher","first_name":"Nikolas"},{"first_name":"David","last_name":"Bauch","full_name":"Bauch, David","id":"44172"},{"full_name":"Schumacher, Stefan","id":"27271","last_name":"Schumacher","orcid":"0000-0003-4042-4951","first_name":"Stefan"}],"date_updated":"2024-01-24T16:07:57Z","publisher":"American Physical Society (APS)","intvolume":"         6","citation":{"short":"N. Heinisch, N. Köcher, D. Bauch, S. Schumacher, Physical Review Research 6 (2024).","bibtex":"@article{Heinisch_Köcher_Bauch_Schumacher_2024, title={Swing-up dynamics in quantum emitter cavity systems: Near ideal single photons and entangled photon pairs}, volume={6}, DOI={<a href=\"https://doi.org/10.1103/PhysRevResearch.6.L012017\">10.1103/PhysRevResearch.6.L012017</a>}, number={1L012017}, journal={Physical Review Research}, publisher={American Physical Society (APS)}, author={Heinisch, Nils and Köcher, Nikolas and Bauch, David and Schumacher, Stefan}, year={2024} }","mla":"Heinisch, Nils, et al. “Swing-up Dynamics in Quantum Emitter Cavity Systems: Near Ideal Single Photons and Entangled Photon Pairs.” <i>Physical Review Research</i>, vol. 6, no. 1, L012017, American Physical Society (APS), 2024, doi:<a href=\"https://doi.org/10.1103/PhysRevResearch.6.L012017\">10.1103/PhysRevResearch.6.L012017</a>.","apa":"Heinisch, N., Köcher, N., Bauch, D., &#38; Schumacher, S. (2024). Swing-up dynamics in quantum emitter cavity systems: Near ideal single photons and entangled photon pairs. <i>Physical Review Research</i>, <i>6</i>(1), Article L012017. <a href=\"https://doi.org/10.1103/PhysRevResearch.6.L012017\">https://doi.org/10.1103/PhysRevResearch.6.L012017</a>","ama":"Heinisch N, Köcher N, Bauch D, Schumacher S. Swing-up dynamics in quantum emitter cavity systems: Near ideal single photons and entangled photon pairs. <i>Physical Review Research</i>. 2024;6(1). doi:<a href=\"https://doi.org/10.1103/PhysRevResearch.6.L012017\">10.1103/PhysRevResearch.6.L012017</a>","ieee":"N. Heinisch, N. Köcher, D. Bauch, and S. Schumacher, “Swing-up dynamics in quantum emitter cavity systems: Near ideal single photons and entangled photon pairs,” <i>Physical Review Research</i>, vol. 6, no. 1, Art. no. L012017, 2024, doi: <a href=\"https://doi.org/10.1103/PhysRevResearch.6.L012017\">10.1103/PhysRevResearch.6.L012017</a>.","chicago":"Heinisch, Nils, Nikolas Köcher, David Bauch, and Stefan Schumacher. “Swing-up Dynamics in Quantum Emitter Cavity Systems: Near Ideal Single Photons and Entangled Photon Pairs.” <i>Physical Review Research</i> 6, no. 1 (2024). <a href=\"https://doi.org/10.1103/PhysRevResearch.6.L012017\">https://doi.org/10.1103/PhysRevResearch.6.L012017</a>."},"year":"2024","issue":"1","publication_identifier":{"issn":["2643-1564"]},"publication_status":"published"},{"year":"2024","citation":{"ieee":"L. Hanschke <i>et al.</i>, “Experimental measurement of the reappearance of Rabi rotations in semiconductor quantum dots,” <i>arXiv:2409.19167</i>. 2024.","chicago":"Hanschke, L., T. K. Bracht, E. Schöll, David Bauch, Eva Berger, Patricia Kallert, M. Peter, et al. “Experimental Measurement of the Reappearance of Rabi Rotations in Semiconductor Quantum Dots.” <i>ArXiv:2409.19167</i>, 2024.","ama":"Hanschke L, Bracht TK, Schöll E, et al. Experimental measurement of the reappearance of Rabi rotations in semiconductor quantum dots. <i>arXiv:240919167</i>. Published online 2024.","apa":"Hanschke, L., Bracht, T. K., Schöll, E., Bauch, D., Berger, E., Kallert, P., Peter, M., Garcia, A. J., Silva, S. F. C. da, Manna, S., Rastelli, A., Schumacher, S., Reiter, D. E., &#38; Jöns, K. (2024). Experimental measurement of the reappearance of Rabi rotations in semiconductor quantum dots. In <i>arXiv:2409.19167</i>.","short":"L. Hanschke, T.K. Bracht, E. Schöll, D. Bauch, E. Berger, P. Kallert, M. Peter, A.J. Garcia, S.F.C. da Silva, S. Manna, A. Rastelli, S. Schumacher, D.E. Reiter, K. Jöns, ArXiv:2409.19167 (2024).","mla":"Hanschke, L., et al. “Experimental Measurement of the Reappearance of Rabi Rotations in Semiconductor Quantum Dots.” <i>ArXiv:2409.19167</i>, 2024.","bibtex":"@article{Hanschke_Bracht_Schöll_Bauch_Berger_Kallert_Peter_Garcia_Silva_Manna_et al._2024, title={Experimental measurement of the reappearance of Rabi rotations in semiconductor quantum dots}, journal={arXiv:2409.19167}, author={Hanschke, L. and Bracht, T. K. and Schöll, E. and Bauch, David and Berger, Eva and Kallert, Patricia and Peter, M. and Garcia, A. J. and Silva, S. F. Covre da and Manna, S. and et al.}, year={2024} }"},"date_updated":"2025-12-11T12:54:41Z","author":[{"first_name":"L.","last_name":"Hanschke","full_name":"Hanschke, L."},{"full_name":"Bracht, T. K.","last_name":"Bracht","first_name":"T. K."},{"full_name":"Schöll, E.","last_name":"Schöll","first_name":"E."},{"full_name":"Bauch, David","id":"44172","last_name":"Bauch","first_name":"David"},{"last_name":"Berger","full_name":"Berger, Eva","first_name":"Eva"},{"full_name":"Kallert, Patricia","last_name":"Kallert","first_name":"Patricia"},{"last_name":"Peter","full_name":"Peter, M.","first_name":"M."},{"first_name":"A. J.","last_name":"Garcia","full_name":"Garcia, A. J."},{"first_name":"S. F. Covre da","last_name":"Silva","full_name":"Silva, S. F. Covre da"},{"last_name":"Manna","full_name":"Manna, S.","first_name":"S."},{"first_name":"A.","last_name":"Rastelli","full_name":"Rastelli, A."},{"first_name":"Stefan","orcid":"0000-0003-4042-4951","last_name":"Schumacher","full_name":"Schumacher, Stefan","id":"27271"},{"last_name":"Reiter","full_name":"Reiter, D. E.","first_name":"D. E."},{"last_name":"Jöns","id":"85353","full_name":"Jöns, Klaus","first_name":"Klaus"}],"date_created":"2025-12-04T12:16:58Z","title":"Experimental measurement of the reappearance of Rabi rotations in semiconductor quantum dots","type":"preprint","publication":"arXiv:2409.19167","abstract":[{"lang":"eng","text":"Phonons in solid-state quantum emitters play a crucial role in their performance as photon sources in quantum technology. For resonant driving, phonons dampen the Rabi oscillations resulting in reduced preparation fidelities. The phonon spectral density, which quantifies the strength of the carrier-phonon interaction, is non-monotonous as a function of energy. As one of the most prominent consequences, this leads to the reappearance of Rabi rotations for increasing pulse power, which was theoretically predicted in Phys. Rev. Lett. 98, 227403 (2007). In this paper we present the experimental demonstration of the reappearance of Rabi rotations."}],"status":"public","_id":"62858","external_id":{"arxiv":["2409.19167"]},"user_id":"48188","department":[{"_id":"623"},{"_id":"15"},{"_id":"429"},{"_id":"642"}],"language":[{"iso":"eng"}]}]