Instability-induced formation and non-equilibrium dynamics of phase defects in polariton condensates

Abstract

We study, theoretically and numerically, the onset and development of modulational instability in an incoherently pumped spatially homogeneous polariton condensate. Within the framework of mean-field theory, we identify regimes of modulational instability in two cases: 1) Strong feedback between the condensate and reservoir, which may occur in scalar condensates, and 2) Parametric scattering in the presence of polarization splitting in spinor condensates. In both cases we investigate the instability induced textures in space and time including non-equilibrium dynamics of phase dislocations and vortices. In particular we discuss the mechanism of vortex destabilization and formation of spiraling waves. We also identify the presence of topological defects, which take the form of half-vortex pairs in the spinor case, giving an "eyelet" structure in intensity and dipole type structure in the spin polarization. In the modulationally stable parameter domains, we observe formation of the phase defects in the process of condensate formation from an initially spatially incoherent low-density state. In analogy to the Kibble-Zurek type scaling for nonequilibrium phase transitions, we find that the defect density scales with the pumping rate.

13 pages, 9 figures, revised manuscript sent to Phys. Rev. B

References in corpus (18)

• Quantum fluids of light
• Observation of Superfluidity of Polaritons in Semiconductor Microcavities
• Excitations in a non-equilibrium Bose-Einstein condensate of exciton-polaritons
• Quantum-fluid dynamics of microcavity polaritons
• Spontaneous rotating vortex lattices in a pumped decaying condensate
• Non-equilibrium quantum condensation in an incoherently pumped dissipative system
• Spatial and spectral shape of inhomogeneous non-equilibrium exciton-polariton condensates
• Half-vortices in polariton condensates
• Probing the Dynamics of Spontaneous Quantum Vortices in Polariton Superfluids
• Stochastic classical field model for polariton condensates
• Optical bistability in a GaAs based polariton diode
• Transverse Patterns in Nonlinear Optical Resonators
• Anisotropic Optical Spin Hall Effect in Semiconductor Microcavities
• A semi-classical field method for the equilibrium Bose gas and application to thermal vortices in two dimensions
• Optical control of spin textures in quasi-one-dimensional polariton condensates
• Robustness and observability of rotating vortex-lattices in an exciton-polariton condensate
• Full-time dynamics of modulational instability in spinor Bose-Einstein condensates
• Turbulence in exciton-polariton condensates