Nonlinear Bloch-waves and current states of exciton-polariton condensates

Abstract

The formation of nonlinear Bloch states in open driven-dissipative system of exciton-polaritons loaded into a weak-contrast 1D periodic lattice is studied numerically and analytically. The condensate is described within the framework of mean-field theory by the coupled equations for the order parameter and for the density of incoherent excitons. The stationary nonlinear solutions having the structure of Bloch waves are studied in detail. It is shown that there is a bifurcation leading to the appearance of a family of essentially nonlinear states. The special feature of these solutions is that its current does not vanish when the quasi-momentum of the state approaches the values equal to the half of the lattice constant. To explain the bifurcations found in numerical simulations a simple perturbative approach is developed. The stability of the nonlinear states is examined by linear spectral analysis and by direct numerical simulations. An experimental scheme allowing the observation of the discussed nonlinear current states is suggested and studied by numerical simulations.

12 pages, 7 figures

References in corpus (6)

• Observation of Superfluidity of Polaritons in Semiconductor Microcavities
• Excitations in a non-equilibrium Bose-Einstein condensate of exciton-polaritons
• Superfluidity of Bose-Einstein Condensate in An Optical Lattice: Landau-Zener Tunneling and Dynamical Instability
• Dynamics and stability of dark solitons in exciton-polariton condensates
• Bose-Einstein condensates in 1D optical lattices: compressibility, Bloch bands and elementary excitations
• Instability-induced formation and non-equilibrium dynamics of phase defects in polariton condensates

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• Nonequilibrium Landau-Zener Tunneling in Exciton-Polariton Condensates
• Persistent polarization oscillations in ring-shape polariton condensates
• Persistent current by a static non-Hermitian ratchet
• Tunable nonlinear Landau-Zener tunnelings in a spin-orbit-coupled spinor Bose-Einstein condensate
• Topological Unwinding in an Exciton-Polariton Condensate Array
• Dissipative Josephson vortices in annular polariton fluids