Pseudothermalization in driven-dissipative non-Markovian open quantum systems

Year: 2018

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

Autors Affiliation: Univ Trento, CNR, INO, BEC Ctr, I-38123 Povo, Italy; Univ Trento, Dipartimento Fis, I-38123 Povo, Italy; Univ Cologne, Inst Theoret Phys, D-50937 Cologne, Germany; Ecole Normale Super, Lab Pierre Aigrain, 24 Rue Lhomond, F-75231 Paris 05, France.

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: 33603-1  to: 33603-20

More Information: The authors thank Emmanuele Dalla Torre for useful comments. Discussions with Maxime Richard, Andrea Gambassi, Laeticia Cugliandolo, and Jamir Marino are also warmly acknowledged. J.L. and I.C. are supported by the EU-FET Proactive grant AQuS, Project No. 640800, and by the Autonomous Province of Trento, partially through the project On silicon chip quantum optics for quantum computing and secure communications (SiQuro). A.C. acknowledges funding by the European Research Council via ERC Grant Agreement No. 647434 (DOQS).
KeyWords: Bose-einstein Condensation; Photons; States
DOI: 10.1103/PhysRevA.97.033603

Citations: 9
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