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Quantum Simulation

mathcal{PT}-symmetric currents of a Bose-Einstein condensate in a triple well

arXiv

Authors: Daniel Haag, Dennis Dast, Holger Cartarius, Günter Wunner

Year

2015

Paper ID

27064

Status

Preprint

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~2 min

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Abstract

We study the case of mathcal{PT}-symmetric perturbations of Hermitian Hamiltonians with degenerate eigenvalues using the example of a triple-well system. The degeneracy complicates the question, whether or not a stationary current through such a system can be established, i.e.\ whether or not the mathcal{PT}-symmetric states are stable. It is shown that this is only the case for perturbations that do not couple to any of the degenerate states. The physical explanation for the inhibition of stable currents is discussed. However, introducing an on-site interaction restores the capability to support stable currents.

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We study the case of mathcalPT-symmetric perturbations of Hermitian Hamiltonians with degenerate eigenvalues using the example of a triple-well system.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1509.07382 [2] arXiv https://arxiv.org/abs/1509.07382 [3] Publisher https://arxiv.org/abs/1509.07382

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