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- W4224072291 abstract "We in this paper demonstrate that the $PT$-symmetric non-Hermitian Hamiltonian for a periodically driven system can be generated from a kernel Hamiltonian by a generalized gauge transformation. The kernel Hamiltonian is Hermitian and static, while the time-dependent transformation operator has to be $PT$ symmetric and non-unitary in general. Biorthogonal sets of eigenstates appear necessarily as a consequence of non-Hermitian Hamiltonian. We obtain analytically the wave functions and associated non-adiabatic Berry phase $gamma_{n}$ for the $n$th eigenstate. The classical version of the non-Hermitian Hamiltonian becomes a complex function of canonical variables and time. The corresponding kernel Hamiltonian is derived with $PT$ symmetric canonical-variable transfer in the classical gauge transformation. Moreover, with the change of position-momentum to angle-action variables it is revealed that the non-adiabatic Hannay's angle $Delta theta_{H}$ and Berry phase satisfy precisely the quantum-classical correspondence,$gamma_{n}=$ $(n+1/2)Delta theta_{H}$." @default.
- W4224072291 created "2022-04-19" @default.
- W4224072291 creator A5008686232 @default.
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- W4224072291 date "2022-04-17" @default.
- W4224072291 modified "2023-10-18" @default.
- W4224072291 title "Generalized Gauge Transformation with PT$PT$‐Symmetric Non‐Unitary Operator and Classical Correspondence of Non‐Hermitian Hamiltonian for a Periodically Driven System" @default.
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- W4224072291 doi "https://doi.org/10.1002/andp.202200069" @default.
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