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- W3125306275 abstract "Non-hermitian, $mathcal{PT}$-symmetric Hamiltonians, experimentally realized in optical systems, accurately model the properties of open, bosonic systems with balanced, spatially separated gain and loss. We present a family of exactly solvable, two-dimensional, $mathcal{PT}$ potentials for a non-relativistic particle confined in a circular geometry. We show that the $mathcal{PT}$ symmetry threshold can be tuned by introducing a second gain-loss potential or its hermitian counterpart. Our results explicitly demonstrate that $mathcal{PT}$ breaking in two dimensions has a rich phase diagram, with multiple re-entrant $mathcal{PT}$ symmetric phases." @default.
- W3125306275 created "2021-02-01" @default.
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- W3125306275 date "2015-11-01" @default.
- W3125306275 modified "2023-10-16" @default.
- W3125306275 title "Exactly solvable $mathcal{PT}$ -symmetric models in two dimensions" @default.
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- W3125306275 doi "https://doi.org/10.1209/0295-5075/112/31003" @default.
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