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- W3125807140 abstract "We consider wave dynamics for a Schrodinger equation with a non-Hermitian Hamiltonian $mathcal{H}$ satisfying the generalized (anyonic) parity-time symmetry $mathcal{PT H}= exp(2 i varphi) mathcal{HPT}$, where $mathcal{P}$ and $ mathcal{T}$ are the parity and time-reversal operators. For a stationary potential, the anyonic phase $varphi$ just rotates the energy spectrum of $mathcal{H}$ in complex plane, however for a drifting potential the energy spectrum is deformed and the scattering and localization properties of the potential show intriguing behaviors arising from the breakdown of the Galilean invariance when $varphi neq 0$. In particular, in the unbroken $mathcal{PT}$ phase the drift makes a scattering potential barrier reflectionless, whereas for a potential well the number of bound states decreases as the drift velocity increases because of a non-Hermitian delocalization transition." @default.
- W3125807140 created "2021-02-01" @default.
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- W3125807140 date "2019-01-30" @default.
- W3125807140 modified "2023-10-14" @default.
- W3125807140 title "Anyonic $boldsymbol{mathcal{PT}}$ symmetry, drifting potentials and non-Hermitian delocalization" @default.
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- W3125807140 doi "https://doi.org/10.1209/0295-5075/125/10006" @default.
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