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- W2020680741 abstract "A $mathcal{PT}$-symmetric Bose-Einstein condensate can be theoretically described using a complex optical potential; however, the experimental realization of such an optical potential describing the coherent in- and outcoupling of particles is a nontrivial task. We propose an experiment for a quantum mechanical realization of a $mathcal{PT}$-symmetric system, where the $mathcal{PT}$-symmetric currents of a two-well system are implemented by coupling two additional wells to the system, which act as particle reservoirs. In terms of a simple four-mode model we derive conditions under which the two middle wells of the Hermitian four-well system behave exactly as the two wells of the $mathcal{PT}$-symmetric system. We apply these conditions to calculate stationary solutions and oscillatory dynamics. By means of frozen Gaussian wave packets we relate the Gross-Pitaevskii equation to the four-mode model and give parameters required for the external potential, which provides approximate conditions for a realistic experimental setup." @default.
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- W2020680741 date "2013-05-07" @default.
- W2020680741 modified "2023-10-17" @default.
- W2020680741 title "Hermitian four-well potential as a realization of a<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mi mathvariant=script>PT</mml:mi></mml:math>-symmetric system" @default.
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- W2020680741 doi "https://doi.org/10.1103/physreva.87.051601" @default.
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