Quantum theory of multimode polariton condensation
arXiv:1310.3641 · doi:10.1103/PhysRevB.90.085308
Abstract
We develop a theory for the dynamics of the density matrix describing a multimode polariton condensate. In such a condensate several single-particle orbitals become highly occupied, due to stimulated scattering from reservoirs of high-energy excitons. A generic few-parameter model for the system leads to a Lindblad equation which includes saturable pumping, decay, and condensate interactions. We show how this theory can be used to obtain the population distributions, and the time-dependent first- and second-order coherence functions, in such a multimode condensate. As a specific application, we consider a polaritonic Josephson junction, formed from a double-well potential. We obtain the population distributions, emission line shapes, and widths (first-order coherence functions), and predict the dephasing time of the Josephson oscillations.
17 pages, 6 figures. v2 includes extended discussion, corrections to typos
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Cited by in corpus (5)
- Fractional quantum mechanics in polariton condensates with velocity dependent mass
- Polaritonic Rabi and Josephson Oscillations
- Kinetic Monte Carlo Approach to Non-equilibrium Bosonic Systems
- Reservoir optics with exciton-polariton condensates
- Localization and self-trapping in driven-dissipative polariton condensates