Pseudothermalization in driven-dissipative non-Markovian open quantum systems

Year: 2018

Authors: Lebreuilly J., Chiocchetta A., Carusotto I.

Autors Affiliation: [Lebreuilly, Jose; Carusotto, Iacopo] CNR, INO, BEC Ctr, I-38123 Povo, Italy and Univ Trento, Dipartimento Fis, I-38123 Povo, Italy.
[Chiocchetta, Alessio] Univ Cologne, Inst Theoret Phys, D-50937 Cologne, Germany.

Abstract: We investigate a pseudothermalization effect, where an open quantum system coupled to a nonequilibrated environment consisting of several non-Markovian reservoirs presents an emergent thermal behavior. This thermal behavior is visible at both static and dynamical levels and the system satisfies the fluctuation-dissipation theorem. Our analysis is focused on the exactly solvable model of a weakly interacting driven-dissipative Bose gas in presence of frequency-dependent particle pumping and losses, and is based on a quantum Langevin theory, which we derive starting from a microscopical quantum optics model. For generic non-Markovian reservoirs, we demonstrate that the emergence of thermal properties occurs in the range of frequencies corresponding to low-energy excitations. For the specific case of non-Markovian baths verifying the Kennard-Stepanov relation, we show that pseudothermalization can instead occur at all energy scales. The possible implications regarding the interpretation of thermal laws in low-temperature exciton-polariton experiments are discussed. We finally show that the presence of either a saturable pumping or a dispersive environment leads to a breakdown of the pseudothermalization effect.

Journal/Review: PHYSICAL REVIEW A

Volume: 97 (3)      Pages from: 033603-1  to: 033603-20

KeyWords: Bose-Einstein condensation; microcavity; polaritons; photons; states
DOI: 10.1103/PhysRevA.97.033603

Citations: 8
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