Non-equilibrium properties of a pumped-decaying Bose-condensed electron-hole gas in the BCS-BEC crossover region

Abstract

We theoretically investigate a Bose-condensed exciton gas out of equilibrium. Within the framework of the combined BCS-Leggett strong-coupling theory with the non-equilibrium Keldysh formalism, we show how the Bose-Einstein condensation (BEC) of excitons is suppressed to eventually disappear, when the system is in the non-equilibrium steady state. The supply of electrons and holes from the bath is shown to induce quasi-particle excitations, leading to the partial occupation of the upper branch of Bogoliubov single-particle excitation spectrum. We also discuss how this quasi-particle induction is related to the suppression of exciton BEC, as well as the stability of the steady state.

7 pages, 2 figures, Proceedings of QFS-2015

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• Observation of Superfluidity of Polaritons in Semiconductor Microcavities
• Quantised Vortices in an Exciton-Polariton Fluid
• Non-equilibrium quantum condensation in an incoherently pumped dissipative system
• Generating Functional Approach for Spontaneous Coherence in Semiconductor Electron-Hole-Photon Systems
• A continuously pumped reservoir of ultracold atoms

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