| Autor: |
Tina Mathea, Dennis Dast, Daniel Dizdarevic, Holger Cartarius, Jörg Main, Günter Wunner |
| Předmět: |
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| Zdroj: |
Journal of Physics A: Mathematical & Theoretical; 8/3/2018, Vol. 51 Issue 31, p1-1, 1p |
| Abstrakt: |
Bose–Einstein condensates with balanced gain and loss in a double-well potential have been shown to exhibit -symmetric states. As proposed by Kreibich (2013 Phys. Rev. A 87 051601), in the mean-field limit the dynamical behaviour of this system, especially that of the -symmetric states, can be simulated by embedding it into a Hermitian four-well system with time-dependent parameters. In this paper we go beyond the mean-field approximation and investigate many-body effects in this system, which are in lowest order described by the single-particle density matrix. The conditions for symmetry in the single-particle density matrix cannot be completely fulfilled by using pure initial states. Here we show that it is mathematically possible to achieve exact symmetry in the four-well many-body system in the sense of the dynamical behaviour of the single-particle density matrix. In contrast to previous work, for this purpose, we use mixed initial states fulfilling certain constraints and use them to calculate the dynamics. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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