Abstract
We consider a model of the exciton-polariton condensate based on a system of two Gross–Pitaevskii equations coupled by the second-order differential operator, which represents the spin–orbit coupling in the system. Also included are the linear gain, effective diffusion, nonlinear loss, and the standard harmonic-oscillator trapping potential, as well as the Zeeman splitting. By means of combined analytical and numerical methods, we identify stable two-dimensional modes supported by the nonlinear system. In the absence of the Zeeman splitting, these are mixed modes, which combine zero and nonzero vorticities in each of the two spinor components, and vortex–antivortex complexes. We have also found a range of parameters where the mixed-mode and vortex–antivortex states coexist and are stable. Sufficiently strong Zeeman splitting creates stable semi-vortex states, with vorticities 0 in one component and 2 in the other.
Highlights
A rapidly advancing direction in the studies of multidimensional nonlinear wave patterns deals with two-component systems supporting the spin-orbit coupling (SOC), which are represented by derivative linear-mixing terms in the underlying systems of nonlinear Schrodinger/Gross-Pitaevskii equations (GPEs) [1,2,3]
We address an effectively 2D polariton condensate modeled by a system of two GPEs with the SOC terms represented by the above-mentioned second spatial derivatives
The aim of this work is to identify species of robust 2D localized modes which play the role of fundamental states in two-component exciton-polariton condensates, subject to the action of SOC, represented by the second-order linear differential operator which mixes the two components
Summary
A rapidly advancing direction in the studies of multidimensional nonlinear wave patterns deals with two-component systems supporting the spin-orbit coupling (SOC), which are represented by derivative linear-mixing terms in the underlying systems of nonlinear Schrodinger/Gross-Pitaevskii equations (GPEs) [1,2,3]. Our objective is to identify stable 2D states in this system, which turn out to be mixed modes and vortex-antivortex bound states, that tend to be stable, severally, under the action of weak and strong SOC, with a small bistability area in the parameter space The latter states are often referred to as the half-vortices in the polariton context [20, 30, 31], and are known in models without SOC [30], or with the spin-only coupling (direct linear mixing of the Rabi-coupling type) [27]; see Ref.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
