{"publication":"arXiv:1903.12534","title":"Externally Controlled Lotka-Volterra Dynamics in a Linearly Polarized  Polariton Fluid","date_created":"2019-09-19T13:18:47Z","type":"preprint","language":[{"iso":"eng"}],"_id":"13340","year":"2019","date_updated":"2023-01-26T12:10:21Z","status":"public","author":[{"full_name":"Pukrop, Matthias","last_name":"Pukrop","first_name":"Matthias"},{"id":"27271","orcid":"0000-0003-4042-4951","first_name":"Stefan","last_name":"Schumacher","full_name":"Schumacher, Stefan"}],"abstract":[{"text":"Spontaneous formation of transverse patterns is ubiquitous in nonlinear\r\ndynamical systems of all kinds. An aspect of particular interest is the active\r\ncontrol of such patterns. In nonlinear optical systems this can be used for\r\nall-optical switching with transistor-like performance, for example realized\r\nwith polaritons in a planar quantum-well semiconductor microcavity. Here we\r\nfocus on a specific configuration which takes advantage of the intricate\r\npolarization dependencies in the interacting optically driven polariton system.\r\nBesides detailed numerical simulations of the coupled light-field exciton\r\ndynamics, in the present paper we focus on the derivation of a simplified\r\npopulation competition model giving detailed insight into the underlying\r\nmechanisms from a nonlinear dynamical systems perspective. We show that such a\r\nmodel takes the form of a generalized Lotka-Volterra system for two competing\r\npopulations explicitly including a source term that enables external control.\r\nWe present a comprehensive analysis both of the existence and stability of\r\nstationary states in the parameter space spanned by spatial anisotropy and\r\nexternal control strength. We also construct phase boundaries in non-trivial\r\nregions and characterize emerging bifurcations. The population competition\r\nmodel reproduces all key features of the switching observed in full numerical\r\nsimulations of the rather complex semiconductor system and at the same time is\r\nsimple enough for a fully analytical understanding of the system dynamics.","lang":"eng"}],"citation":{"short":"M. Pukrop, S. Schumacher, ArXiv:1903.12534 (2019).","chicago":"Pukrop, Matthias, and Stefan Schumacher. “Externally Controlled Lotka-Volterra Dynamics in a Linearly Polarized  Polariton Fluid.” <i>ArXiv:1903.12534</i>, 2019.","bibtex":"@article{Pukrop_Schumacher_2019, title={Externally Controlled Lotka-Volterra Dynamics in a Linearly Polarized  Polariton Fluid}, journal={arXiv:1903.12534}, author={Pukrop, Matthias and Schumacher, Stefan}, year={2019} }","ama":"Pukrop M, Schumacher S. Externally Controlled Lotka-Volterra Dynamics in a Linearly Polarized  Polariton Fluid. <i>arXiv:190312534</i>. Published online 2019.","mla":"Pukrop, Matthias, and Stefan Schumacher. “Externally Controlled Lotka-Volterra Dynamics in a Linearly Polarized  Polariton Fluid.” <i>ArXiv:1903.12534</i>, 2019.","ieee":"M. Pukrop and S. Schumacher, “Externally Controlled Lotka-Volterra Dynamics in a Linearly Polarized  Polariton Fluid,” <i>arXiv:1903.12534</i>. 2019.","apa":"Pukrop, M., &#38; Schumacher, S. (2019). Externally Controlled Lotka-Volterra Dynamics in a Linearly Polarized  Polariton Fluid. In <i>arXiv:1903.12534</i>."},"user_id":"16199","project":[{"name":"Computing Resources Provided by the Paderborn Center for Parallel Computing","_id":"52"}],"department":[{"_id":"15"},{"_id":"170"},{"_id":"297"},{"_id":"230"}]}