[{"status":"public","user_id":"75127","volume":114,"_id":"66914","publisher":"American Physical Society (APS)","citation":{"bibtex":"@article{Alba_Ares_Sperling_Pinske_2026, title={Quantifying entanglement in quantum thermodynamics via separability constraints}, volume={114}, DOI={<a href=\"https://doi.org/10.1103/sjqy-gnvp\">10.1103/sjqy-gnvp</a>}, number={2024157}, journal={Physical Review E}, publisher={American Physical Society (APS)}, author={Alba, Joan and Ares, Laura and Sperling, Jan and Pinske, Julien}, year={2026} }","ama":"Alba J, Ares L, Sperling J, Pinske J. Quantifying entanglement in quantum thermodynamics via separability constraints. <i>Physical Review E</i>. 2026;114(2). doi:<a href=\"https://doi.org/10.1103/sjqy-gnvp\">10.1103/sjqy-gnvp</a>","mla":"Alba, Joan, et al. “Quantifying Entanglement in Quantum Thermodynamics via Separability Constraints.” <i>Physical Review E</i>, vol. 114, no. 2, 024157, American Physical Society (APS), 2026, doi:<a href=\"https://doi.org/10.1103/sjqy-gnvp\">10.1103/sjqy-gnvp</a>.","short":"J. Alba, L. Ares, J. Sperling, J. Pinske, Physical Review E 114 (2026).","chicago":"Alba, Joan, Laura Ares, Jan Sperling, and Julien Pinske. “Quantifying Entanglement in Quantum Thermodynamics via Separability Constraints.” <i>Physical Review E</i> 114, no. 2 (2026). <a href=\"https://doi.org/10.1103/sjqy-gnvp\">https://doi.org/10.1103/sjqy-gnvp</a>.","ieee":"J. Alba, L. Ares, J. Sperling, and J. Pinske, “Quantifying entanglement in quantum thermodynamics via separability constraints,” <i>Physical Review E</i>, vol. 114, no. 2, Art. no. 024157, 2026, doi: <a href=\"https://doi.org/10.1103/sjqy-gnvp\">10.1103/sjqy-gnvp</a>.","apa":"Alba, J., Ares, L., Sperling, J., &#38; Pinske, J. (2026). Quantifying entanglement in quantum thermodynamics via separability constraints. <i>Physical Review E</i>, <i>114</i>(2), Article 024157. <a href=\"https://doi.org/10.1103/sjqy-gnvp\">https://doi.org/10.1103/sjqy-gnvp</a>"},"date_updated":"2026-09-02T08:06:54Z","publication_status":"published","intvolume":"       114","year":"2026","title":"Quantifying entanglement in quantum thermodynamics via separability constraints","author":[{"full_name":"Alba, Joan","last_name":"Alba","first_name":"Joan"},{"last_name":"Ares","first_name":"Laura","full_name":"Ares, Laura"},{"orcid":"0000-0002-5844-3205","last_name":"Sperling","first_name":"Jan","full_name":"Sperling, Jan","id":"75127"},{"first_name":"Julien","last_name":"Pinske","full_name":"Pinske, Julien"}],"publication_identifier":{"issn":["2470-0045","2470-0053"]},"doi":"10.1103/sjqy-gnvp","article_number":"024157","language":[{"iso":"eng"}],"publication":"Physical Review E","issue":"2","type":"journal_article","department":[{"_id":"623"},{"_id":"15"},{"_id":"170"},{"_id":"706"},{"_id":"429"}],"date_created":"2026-09-02T08:05:31Z"},{"external_id":{"pmid":["35291089"]},"date_created":"2022-06-28T07:18:22Z","type":"journal_article","issue":"2-1","publication":"Phys Rev E","citation":{"bibtex":"@article{Hunter_Norton_Chen_Simonetti_Moustaka_Touboul_Fraden_2022, title={Pattern formation in a four-ring reaction-diffusion network with heterogeneity.}, volume={105}, number={2–1}, journal={Phys Rev E}, author={Hunter, I and Norton, MM and Chen, B and Simonetti, C and Moustaka, ME and Touboul, J and Fraden, S}, year={2022}, pages={024310} }","ama":"Hunter I, Norton M, Chen B, et al. Pattern formation in a four-ring reaction-diffusion network with heterogeneity. <i>Phys Rev E</i>. 2022;105(2-1):024310.","mla":"Hunter, I., et al. “Pattern Formation in a Four-Ring Reaction-Diffusion Network with Heterogeneity.” <i>Phys Rev E</i>, vol. 105, no. 2–1, 2022, p. 024310.","short":"I. Hunter, M. Norton, B. Chen, C. Simonetti, M. Moustaka, J. Touboul, S. Fraden, Phys Rev E 105 (2022) 024310.","chicago":"Hunter, I, MM Norton, B Chen, C Simonetti, ME Moustaka, J Touboul, and S Fraden. “Pattern Formation in a Four-Ring Reaction-Diffusion Network with Heterogeneity.” <i>Phys Rev E</i> 105, no. 2–1 (2022): 024310.","ieee":"I. Hunter <i>et al.</i>, “Pattern formation in a four-ring reaction-diffusion network with heterogeneity.,” <i>Phys Rev E</i>, vol. 105, no. 2–1, p. 024310, 2022.","apa":"Hunter, I., Norton, M., Chen, B., Simonetti, C., Moustaka, M., Touboul, J., &#38; Fraden, S. (2022). Pattern formation in a four-ring reaction-diffusion network with heterogeneity. <i>Phys Rev E</i>, <i>105</i>(2–1), 024310."},"page":"024310","_id":"32239","pmid":"1","user_id":"15278","volume":105,"status":"public","year":"2022","title":"Pattern formation in a four-ring reaction-diffusion network with heterogeneity.","author":[{"full_name":"Hunter, I","last_name":"Hunter","first_name":"I"},{"full_name":"Norton, MM","last_name":"Norton","first_name":"MM"},{"full_name":"Chen, B","first_name":"B","last_name":"Chen"},{"last_name":"Simonetti","first_name":"C","full_name":"Simonetti, C"},{"full_name":"Moustaka, ME","first_name":"ME","last_name":"Moustaka"},{"full_name":"Touboul, J","last_name":"Touboul","first_name":"J"},{"last_name":"Fraden","first_name":"S","full_name":"Fraden, S"}],"publication_identifier":{"issn":["2470-0045","2470-0053"]},"date_updated":"2022-06-28T07:24:29Z","intvolume":"       105"},{"publication_identifier":{"issn":["2470-0045","2470-0053"]},"author":[{"last_name":"Pukrop","first_name":"Matthias","full_name":"Pukrop, Matthias"},{"first_name":"Stefan","last_name":"Schumacher","full_name":"Schumacher, Stefan"}],"year":"2020","title":"Externally controlled Lotka-Volterra dynamics in a linearly polarized polariton fluid","status":"public","publication_status":"published","date_updated":"2022-01-06T06:54:06Z","language":[{"iso":"eng"}],"_id":"19511","user_id":"61189","doi":"10.1103/physreve.101.012207","citation":{"ieee":"M. Pukrop and S. Schumacher, “Externally controlled Lotka-Volterra dynamics in a linearly polarized polariton fluid,” <i>Physical Review E</i>, 2020.","apa":"Pukrop, M., &#38; Schumacher, S. (2020). Externally controlled Lotka-Volterra dynamics in a linearly polarized polariton fluid. <i>Physical Review E</i>. <a href=\"https://doi.org/10.1103/physreve.101.012207\">https://doi.org/10.1103/physreve.101.012207</a>","short":"M. Pukrop, S. Schumacher, Physical Review E (2020).","chicago":"Pukrop, Matthias, and Stefan Schumacher. “Externally Controlled Lotka-Volterra Dynamics in a Linearly Polarized Polariton Fluid.” <i>Physical Review E</i>, 2020. <a href=\"https://doi.org/10.1103/physreve.101.012207\">https://doi.org/10.1103/physreve.101.012207</a>.","mla":"Pukrop, Matthias, and Stefan Schumacher. “Externally Controlled Lotka-Volterra Dynamics in a Linearly Polarized Polariton Fluid.” <i>Physical Review E</i>, 2020, doi:<a href=\"https://doi.org/10.1103/physreve.101.012207\">10.1103/physreve.101.012207</a>.","bibtex":"@article{Pukrop_Schumacher_2020, title={Externally controlled Lotka-Volterra dynamics in a linearly polarized polariton fluid}, DOI={<a href=\"https://doi.org/10.1103/physreve.101.012207\">10.1103/physreve.101.012207</a>}, journal={Physical Review E}, author={Pukrop, Matthias and Schumacher, Stefan}, year={2020} }","ama":"Pukrop M, Schumacher S. Externally controlled Lotka-Volterra dynamics in a linearly polarized polariton fluid. <i>Physical Review E</i>. 2020. doi:<a href=\"https://doi.org/10.1103/physreve.101.012207\">10.1103/physreve.101.012207</a>"},"publication":"Physical Review E","project":[{"_id":"52","name":"Computing Resources Provided by the Paderborn Center for Parallel Computing"}],"date_created":"2020-09-17T07:56:54Z","keyword":["pc2-ressources"],"type":"journal_article"},{"publication_status":"published","date_updated":"2023-04-20T15:40:00Z","intvolume":"       101","year":"2020","title":"Externally controlled Lotka-Volterra dynamics in a linearly polarized polariton fluid","author":[{"first_name":"Matthias","last_name":"Pukrop","full_name":"Pukrop, Matthias"},{"full_name":"Schumacher, Stefan","last_name":"Schumacher","orcid":"0000-0003-4042-4951","first_name":"Stefan","id":"27271"}],"publication_identifier":{"issn":["2470-0045","2470-0053"]},"doi":"10.1103/physreve.101.012207","article_number":"012207","language":[{"iso":"eng"}],"publication":"Physical Review E","issue":"1","type":"journal_article","department":[{"_id":"15"},{"_id":"170"},{"_id":"297"},{"_id":"230"},{"_id":"35"}],"date_created":"2023-01-26T16:09:04Z","status":"public","user_id":"16199","volume":101,"_id":"40443","publisher":"American Physical Society (APS)","citation":{"mla":"Pukrop, Matthias, and Stefan Schumacher. “Externally Controlled Lotka-Volterra Dynamics in a Linearly Polarized Polariton Fluid.” <i>Physical Review E</i>, vol. 101, no. 1, 012207, American Physical Society (APS), 2020, doi:<a href=\"https://doi.org/10.1103/physreve.101.012207\">10.1103/physreve.101.012207</a>.","bibtex":"@article{Pukrop_Schumacher_2020, title={Externally controlled Lotka-Volterra dynamics in a linearly polarized polariton fluid}, volume={101}, DOI={<a href=\"https://doi.org/10.1103/physreve.101.012207\">10.1103/physreve.101.012207</a>}, number={1012207}, journal={Physical Review E}, publisher={American Physical Society (APS)}, author={Pukrop, Matthias and Schumacher, Stefan}, year={2020} }","ama":"Pukrop M, Schumacher S. Externally controlled Lotka-Volterra dynamics in a linearly polarized polariton fluid. <i>Physical Review E</i>. 2020;101(1). doi:<a href=\"https://doi.org/10.1103/physreve.101.012207\">10.1103/physreve.101.012207</a>","ieee":"M. Pukrop and S. Schumacher, “Externally controlled Lotka-Volterra dynamics in a linearly polarized polariton fluid,” <i>Physical Review E</i>, vol. 101, no. 1, Art. no. 012207, 2020, doi: <a href=\"https://doi.org/10.1103/physreve.101.012207\">10.1103/physreve.101.012207</a>.","apa":"Pukrop, M., &#38; Schumacher, S. (2020). Externally controlled Lotka-Volterra dynamics in a linearly polarized polariton fluid. <i>Physical Review E</i>, <i>101</i>(1), Article 012207. <a href=\"https://doi.org/10.1103/physreve.101.012207\">https://doi.org/10.1103/physreve.101.012207</a>","chicago":"Pukrop, Matthias, and Stefan Schumacher. “Externally Controlled Lotka-Volterra Dynamics in a Linearly Polarized Polariton Fluid.” <i>Physical Review E</i> 101, no. 1 (2020). <a href=\"https://doi.org/10.1103/physreve.101.012207\">https://doi.org/10.1103/physreve.101.012207</a>.","short":"M. Pukrop, S. Schumacher, Physical Review E 101 (2020)."}},{"project":[{"_id":"52","name":"Computing Resources Provided by the Paderborn Center for Parallel Computing"},{"name":"TRR 142","_id":"53"},{"_id":"56","name":"TRR 142 - Project Area C"},{"_id":"72","name":"TRR 142 - Subproject C2"},{"name":"PC2: Computing Resources Provided by the Paderborn Center for Parallel Computing","_id":"52"}],"issue":"6","publication":"Physical Review E","citation":{"mla":"Driben, R., et al. “Nonlinearity-Induced Localization in a Periodically Driven Semidiscrete System.” <i>Physical Review E</i>, vol. 97, no. 6, 2018, doi:<a href=\"https://doi.org/10.1103/physreve.97.062210\">10.1103/physreve.97.062210</a>.","bibtex":"@article{Driben_Konotop_Malomed_Meier_Yulin_2018, title={Nonlinearity-induced localization in a periodically driven semidiscrete system}, volume={97}, DOI={<a href=\"https://doi.org/10.1103/physreve.97.062210\">10.1103/physreve.97.062210</a>}, number={6}, journal={Physical Review E}, author={Driben, R. and Konotop, V. V. and Malomed, B. A. and Meier, Torsten and Yulin, A. V.}, year={2018} }","ama":"Driben R, Konotop VV, Malomed BA, Meier T, Yulin AV. Nonlinearity-induced localization in a periodically driven semidiscrete system. <i>Physical Review E</i>. 2018;97(6). doi:<a href=\"https://doi.org/10.1103/physreve.97.062210\">10.1103/physreve.97.062210</a>","ieee":"R. Driben, V. V. Konotop, B. A. Malomed, T. Meier, and A. V. Yulin, “Nonlinearity-induced localization in a periodically driven semidiscrete system,” <i>Physical Review E</i>, vol. 97, no. 6, 2018, doi: <a href=\"https://doi.org/10.1103/physreve.97.062210\">10.1103/physreve.97.062210</a>.","apa":"Driben, R., Konotop, V. V., Malomed, B. A., Meier, T., &#38; Yulin, A. V. (2018). Nonlinearity-induced localization in a periodically driven semidiscrete system. <i>Physical Review E</i>, <i>97</i>(6). <a href=\"https://doi.org/10.1103/physreve.97.062210\">https://doi.org/10.1103/physreve.97.062210</a>","short":"R. Driben, V.V. Konotop, B.A. Malomed, T. Meier, A.V. Yulin, Physical Review E 97 (2018).","chicago":"Driben, R., V. V. Konotop, B. A. Malomed, Torsten Meier, and A. V. Yulin. “Nonlinearity-Induced Localization in a Periodically Driven Semidiscrete System.” <i>Physical Review E</i> 97, no. 6 (2018). <a href=\"https://doi.org/10.1103/physreve.97.062210\">https://doi.org/10.1103/physreve.97.062210</a>."},"type":"journal_article","department":[{"_id":"15"},{"_id":"170"},{"_id":"293"},{"_id":"35"},{"_id":"230"}],"date_created":"2019-09-18T14:33:51Z","date_updated":"2023-04-21T11:33:39Z","publication_status":"published","intvolume":"        97","year":"2018","status":"public","title":"Nonlinearity-induced localization in a periodically driven semidiscrete system","author":[{"last_name":"Driben","first_name":"R.","full_name":"Driben, R."},{"last_name":"Konotop","first_name":"V. V.","full_name":"Konotop, V. V."},{"full_name":"Malomed, B. A.","last_name":"Malomed","first_name":"B. A."},{"full_name":"Meier, Torsten","last_name":"Meier","orcid":"0000-0001-8864-2072","first_name":"Torsten","id":"344"},{"full_name":"Yulin, A. V.","first_name":"A. V.","last_name":"Yulin"}],"publication_identifier":{"issn":["2470-0045","2470-0053"]},"doi":"10.1103/physreve.97.062210","user_id":"16199","volume":97,"_id":"13287","language":[{"iso":"eng"}]},{"language":[{"iso":"eng"}],"doi":"10.1103/physreve.97.062210","title":"Nonlinearity-induced localization in a periodically driven semidiscrete system","year":"2018","author":[{"first_name":"R.","last_name":"Driben","full_name":"Driben, R."},{"first_name":"V. V.","last_name":"Konotop","full_name":"Konotop, V. V."},{"full_name":"Malomed, B. A.","first_name":"B. A.","last_name":"Malomed"},{"id":"344","last_name":"Meier","orcid":"0000-0001-8864-2072","first_name":"Torsten","full_name":"Meier, Torsten"},{"full_name":"Yulin, A. V.","last_name":"Yulin","first_name":"A. V."}],"publication_identifier":{"issn":["2470-0045","2470-0053"]},"publication_status":"published","date_updated":"2023-04-21T11:31:41Z","intvolume":"        97","date_created":"2018-09-10T12:17:39Z","type":"journal_article","department":[{"_id":"230"},{"_id":"429"},{"_id":"15"},{"_id":"35"},{"_id":"293"},{"_id":"170"}],"publication":"Physical Review E","issue":"6","_id":"4368","publisher":"American Physical Society (APS)","user_id":"16199","volume":97,"status":"public","citation":{"chicago":"Driben, R., V. V. Konotop, B. A. Malomed, Torsten Meier, and A. V. Yulin. “Nonlinearity-Induced Localization in a Periodically Driven Semidiscrete System.” <i>Physical Review E</i> 97, no. 6 (2018). <a href=\"https://doi.org/10.1103/physreve.97.062210\">https://doi.org/10.1103/physreve.97.062210</a>.","short":"R. Driben, V.V. Konotop, B.A. Malomed, T. Meier, A.V. Yulin, Physical Review E 97 (2018).","apa":"Driben, R., Konotop, V. V., Malomed, B. A., Meier, T., &#38; Yulin, A. V. (2018). Nonlinearity-induced localization in a periodically driven semidiscrete system. <i>Physical Review E</i>, <i>97</i>(6). <a href=\"https://doi.org/10.1103/physreve.97.062210\">https://doi.org/10.1103/physreve.97.062210</a>","ieee":"R. Driben, V. V. Konotop, B. A. Malomed, T. Meier, and A. V. Yulin, “Nonlinearity-induced localization in a periodically driven semidiscrete system,” <i>Physical Review E</i>, vol. 97, no. 6, 2018, doi: <a href=\"https://doi.org/10.1103/physreve.97.062210\">10.1103/physreve.97.062210</a>.","ama":"Driben R, Konotop VV, Malomed BA, Meier T, Yulin AV. Nonlinearity-induced localization in a periodically driven semidiscrete system. <i>Physical Review E</i>. 2018;97(6). doi:<a href=\"https://doi.org/10.1103/physreve.97.062210\">10.1103/physreve.97.062210</a>","bibtex":"@article{Driben_Konotop_Malomed_Meier_Yulin_2018, title={Nonlinearity-induced localization in a periodically driven semidiscrete system}, volume={97}, DOI={<a href=\"https://doi.org/10.1103/physreve.97.062210\">10.1103/physreve.97.062210</a>}, number={6}, journal={Physical Review E}, publisher={American Physical Society (APS)}, author={Driben, R. and Konotop, V. V. and Malomed, B. A. and Meier, Torsten and Yulin, A. V.}, year={2018} }","mla":"Driben, R., et al. “Nonlinearity-Induced Localization in a Periodically Driven Semidiscrete System.” <i>Physical Review E</i>, vol. 97, no. 6, American Physical Society (APS), 2018, doi:<a href=\"https://doi.org/10.1103/physreve.97.062210\">10.1103/physreve.97.062210</a>."},"project":[{"_id":"53","name":"TRR 142"},{"name":"TRR 142 - Project Area C","_id":"56"},{"_id":"72","name":"TRR 142 - Subproject C2"}]},{"citation":{"short":"R. Driben, V.V. Konotop, B.A. Malomed, T. Meier, Physical Review E 94 (2016).","chicago":"Driben, R., V. V. Konotop, B. A. Malomed, and Torsten Meier. “Dynamics of Dipoles and Vortices in Nonlinearly Coupled Three-Dimensional Field Oscillators.” <i>Physical Review E</i> 94, no. 1 (2016). <a href=\"https://doi.org/10.1103/physreve.94.012207\">https://doi.org/10.1103/physreve.94.012207</a>.","apa":"Driben, R., Konotop, V. V., Malomed, B. A., &#38; Meier, T. (2016). Dynamics of dipoles and vortices in nonlinearly coupled three-dimensional field oscillators. <i>Physical Review E</i>, <i>94</i>(1). <a href=\"https://doi.org/10.1103/physreve.94.012207\">https://doi.org/10.1103/physreve.94.012207</a>","ieee":"R. Driben, V. V. Konotop, B. A. Malomed, and T. Meier, “Dynamics of dipoles and vortices in nonlinearly coupled three-dimensional field oscillators,” <i>Physical Review E</i>, vol. 94, no. 1, 2016, doi: <a href=\"https://doi.org/10.1103/physreve.94.012207\">10.1103/physreve.94.012207</a>.","ama":"Driben R, Konotop VV, Malomed BA, Meier T. Dynamics of dipoles and vortices in nonlinearly coupled three-dimensional field oscillators. <i>Physical Review E</i>. 2016;94(1). doi:<a href=\"https://doi.org/10.1103/physreve.94.012207\">10.1103/physreve.94.012207</a>","bibtex":"@article{Driben_Konotop_Malomed_Meier_2016, title={Dynamics of dipoles and vortices in nonlinearly coupled three-dimensional field oscillators}, volume={94}, DOI={<a href=\"https://doi.org/10.1103/physreve.94.012207\">10.1103/physreve.94.012207</a>}, number={1}, journal={Physical Review E}, author={Driben, R. and Konotop, V. V. and Malomed, B. A. and Meier, Torsten}, year={2016} }","mla":"Driben, R., et al. “Dynamics of Dipoles and Vortices in Nonlinearly Coupled Three-Dimensional Field Oscillators.” <i>Physical Review E</i>, vol. 94, no. 1, 2016, doi:<a href=\"https://doi.org/10.1103/physreve.94.012207\">10.1103/physreve.94.012207</a>."},"funded_apc":"1","_id":"13915","volume":94,"user_id":"49063","status":"public","date_created":"2019-10-18T08:29:20Z","department":[{"_id":"15"},{"_id":"170"},{"_id":"293"},{"_id":"230"}],"type":"journal_article","issue":"1","publication":"Physical Review E","abstract":[{"lang":"eng","text":"The dynamics of a pair of harmonic oscillators represented by three-dimensional fields coupled with a repulsive cubic nonlinearity is investigated through direct simulations of the respective field equations and with the help of the finite-mode Galerkin approximation (GA), which represents the two interacting fields by a superposition of \r\n3+3 harmonic-oscillator p-wave eigenfunctions with orbital and magnetic quantum numbers l=1 and m=1, 0, −1. The system can be implemented in binary Bose-Einstein condensates, demonstrating the potential of the atomic condensates to emulate various complex modes predicted by classical field theories. First, the GA very accurately predicts a broadly degenerate set of the system's ground states in the p-wave manifold, in the form of complexes built of a dipole coaxial with another dipole or vortex, as well as complexes built of mutually orthogonal dipoles. Next, pairs of noncoaxial vortices and/or dipoles, including pairs of mutually perpendicular vortices, develop remarkably stable dynamical regimes, which feature periodic exchange of the angular momentum and periodic switching between dipoles and vortices. For a moderately strong nonlinearity, simulations of the coupled-field equations agree very well with results produced by the GA, demonstrating that the dynamics is accurately spanned by the set of six modes limited to l=1."}],"language":[{"iso":"eng"}],"doi":"10.1103/physreve.94.012207","publication_identifier":{"issn":["2470-0045","2470-0053"]},"author":[{"full_name":"Driben, R.","last_name":"Driben","first_name":"R."},{"full_name":"Konotop, V. V.","first_name":"V. V.","last_name":"Konotop"},{"first_name":"B. A.","last_name":"Malomed","full_name":"Malomed, B. A."},{"id":"344","full_name":"Meier, Torsten","first_name":"Torsten","last_name":"Meier","orcid":"0000-0001-8864-2072"}],"title":"Dynamics of dipoles and vortices in nonlinearly coupled three-dimensional field oscillators","year":"2016","intvolume":"        94","publication_status":"published","date_updated":"2023-04-16T21:19:43Z"}]