---
res:
bibo_abstract:
- "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.@eng"
bibo_authorlist:
- foaf_Person:
foaf_givenName: Matthias
foaf_name: Pukrop, Matthias
foaf_surname: Pukrop
- foaf_Person:
foaf_givenName: Stefan
foaf_name: Schumacher, Stefan
foaf_surname: Schumacher
foaf_workInfoHomepage: http://www.librecat.org/personId=27271
orcid: 0000-0003-4042-4951
dct_date: 2019^xs_gYear
dct_language: eng
dct_title: Externally Controlled Lotka-Volterra Dynamics in a Linearly Polarized Polariton
Fluid@
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