Realization of PT-symmetric and PT-symmetry-broken states in static optical-lattice potentials

Felix Kogel, Sebastian Kotzur, Daniel Dizdarevic, Jörg Main, and Günter Wunner
Phys. Rev. A 99, 063610 – Published 17 June 2019

Abstract

Labouvie et al. [Phys. Rev. Lett. 116, 235302 (2016)] have described an experiment with a weakly interacting Bose-Einstein condensate trapped in a one-dimensional optical lattice with localized loss created by a focused electron beam. We show that by setting suitable initial currents between neighboring sites, it is possible to create PT-symmetric quasistationary and PT-symmetry-broken decaying states in an embedded two-mode subsystem. This subsystem exhibits gain provided by the coupling to the reservoir sites and localized loss due to the electron beam and shows the same dynamics as a non-Hermitian two-mode system with symmetric real and antisymmetric imaginary time-independent potentials, except for a proportionality factor in the chemical potential. We also show that there are three other equivalent scenarios and that the presence of a localized loss term significantly reduces the size of the condensate required for the realization.

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  • Received 2 April 2019

DOI:https://doi.org/10.1103/PhysRevA.99.063610

©2019 American Physical Society

Physics Subject Headings (PhySH)

Atomic, Molecular & OpticalCondensed Matter, Materials & Applied PhysicsNonlinear Dynamics

Authors & Affiliations

Felix Kogel, Sebastian Kotzur, Daniel Dizdarevic*, Jörg Main, and Günter Wunner

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

  • *daniel.dizdarevic@itp1.uni-stuttgart.de

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Vol. 99, Iss. 6 — June 2019

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