Quantum Langevin model for nonequilibrium condensation

Year: 2014

Authors: Chiocchetta A., Carusotto I.

Autors Affiliation: SISSA – International School for Advanced Studies, via Bonomea 265, 34136 Trieste, Italy and INFN – Istituto Nazionale di Fisica Nucleare, Sezione di Trieste, Italy; INO-CNR BEC Center and Dipartimento di Fisica, Universita di Trento, Via Sommarive 14, I-38123 Povo, Italy

Abstract: We develop a quantum model for nonequilibrium Bose-Einstein condensation of photons and polaritons in planar microcavity devices. The model builds on laser theory and includes the spatial dynamics of the cavity field, a saturation mechanism, and some frequency dependence of the gain: quantum Langevin equations are written for a cavity field coupled to a continuous distribution of externally pumped two-level emitters with a well-defined frequency. As an example of application, the method is used to study the linearized quantum fluctuations around a steady-state condensed state. In the good-cavity regime, an effective equation for the cavity field only is proposed in terms of a stochastic Gross-Pitaevskii equation. Perspectives in view of a full quantum simulation of the nonequilibrium condensation process are finally sketched.

Journal/Review: PHYSICAL REVIEW A

Volume: 90 (2)      Pages from: 23633-1  to: 23633-15

More Information: We are grateful to Andrea Gambassi and Michiel Wouters for continuous stimulating discussions. I.C. acknowledges partial financial support from European Research Council through the QGBE grant and from Provincia Autonoma di Trento.
KeyWords: Bose-einstein Condensation; Polariton; Noise
DOI: 10.1103/PhysRevA.90.023633

Citations: 42
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