Bose-Einstein condensates with balanced gain and loss beyond mean-field theory

Dennis Dast, Daniel Haag, Holger Cartarius, Jörg Main, and Günter Wunner
Phys. Rev. A 94, 053601 – Published 1 November 2016

Abstract

Most of the work done in the field of Bose-Einstein condensates with balanced gain and loss has been performed in the mean-field approximation using the PT-symmetric Gross-Pitaevskii equation. In this work we study the many-particle dynamics of a two-mode condensate with balanced gain and loss described by a master equation in Lindblad form whose purity periodically drops to small values but then is nearly completely restored. This effect cannot be covered by the mean-field approximation, in which a completely pure condensate is assumed. We present analytic solutions for the dynamics in the noninteracting limit and use the Bogoliubov backreaction method to discuss the influence of the on-site interaction. Our main result is that the strength of the purity revivals is almost exclusively determined by the strength of the gain and loss and is independent of the amount of particles in the system and the interaction strength. For larger particle numbers, however, strong revivals are shifted towards longer times, but by increasing the interaction strength these strong revivals again occur earlier.

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  • Received 31 August 2016

DOI:https://doi.org/10.1103/PhysRevA.94.053601

©2016 American Physical Society

Physics Subject Headings (PhySH)

Quantum Information, Science & TechnologyNonlinear DynamicsGeneral PhysicsCondensed Matter, Materials & Applied PhysicsAtomic, Molecular & OpticalStatistical Physics & Thermodynamics

Authors & Affiliations

Dennis Dast*, Daniel Haag, Holger Cartarius, Jörg Main, and Günter Wunner

  • Institut für Theoretische Physik 1, Universität Stuttgart, 70550 Stuttgart, Germany

  • *dennis.dast@itp1.uni-stuttgart.de

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Issue

Vol. 94, Iss. 5 — November 2016

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