Pseudothermalization in driven-dissipative non-Markovian open quantum systems

José Lebreuilly, Alessio Chiocchetta, and Iacopo Carusotto
Phys. Rev. A 97, 033603 – Published 6 March 2018

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.

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  • Received 21 December 2017

DOI:https://doi.org/10.1103/PhysRevA.97.033603

©2018 American Physical Society

Physics Subject Headings (PhySH)

Statistical Physics & ThermodynamicsCondensed Matter, Materials & Applied Physics

Authors & Affiliations

José Lebreuilly*

  • INO-CNR BEC Center and Dipartimento di Fisica, Università di Trento, I-38123 Povo, Italy

Alessio Chiocchetta

  • Institut für Theoretische Physik, Universität zu Köln, D-50937 Cologne, Germany

Iacopo Carusotto

  • INO-CNR BEC Center and Dipartimento di Fisica, Università di Trento, I-38123 Povo, Italy

  • *Present address: Laboratoire Pierre Aigrain, Ecole Normale Supérieure, 24 rue Lhomond, 75231 Paris Cedex 05, France; jose.lebreuilly@lpa.ens.fr

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Issue

Vol. 97, Iss. 3 — March 2018

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