We investigate the spectral properties and dynamical features of a time-periodic PT -symmetric Hamiltonian on a one-dimensional tight-binding lattice. Our analysis shows that a high-frequency modulation can drive the system under a transition between the broken-PT and the unbroken-PT phases. Interestingly, the time-periodic modulation in the unbroken-PT regime results in novel spectral features and transport behavior, with no counterpart in Hermi- tian time-periodic lattices. In particular, a significant broadening of the quasi-energy spectrum is predicted, leading to a hyper-ballistic transport regime. Also, near the PT -symmetry break- ing the dispersion curve of the lattice band becomes linear, with a strong reduction of quantum wave packet spreading.

A time-periodic PT -symmetric tight-binding lattice Hamiltonian: spectral properties and transport features

DELLA VALLE, GIUSEPPE;LONGHI, STEFANO
2013-01-01

Abstract

We investigate the spectral properties and dynamical features of a time-periodic PT -symmetric Hamiltonian on a one-dimensional tight-binding lattice. Our analysis shows that a high-frequency modulation can drive the system under a transition between the broken-PT and the unbroken-PT phases. Interestingly, the time-periodic modulation in the unbroken-PT regime results in novel spectral features and transport behavior, with no counterpart in Hermi- tian time-periodic lattices. In particular, a significant broadening of the quasi-energy spectrum is predicted, leading to a hyper-ballistic transport regime. Also, near the PT -symmetry break- ing the dispersion curve of the lattice band becomes linear, with a strong reduction of quantum wave packet spreading.
2013
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11311/882555
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