Realization of PT -symmetric and PT -symmetry-broken states in static optical-lattice potentials
| Autor: | Günter Wunner, Felix Kogel, Jörg Main, Daniel Dizdarevic, Sebastian Kotzur |
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| Rok vydání: | 2019 |
| Předmět: | |
| Zdroj: | Physical Review A. 99 |
| ISSN: | 2469-9934 2469-9926 |
| Popis: | 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 $\mathcal{PT}$-symmetric quasistationary and $\mathcal{PT}$-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. |
| Databáze: | OpenAIRE |
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