We investigate the spectral properties and dynamical features of a time-periodic PT-symmetric Hamiltonian on a one-dimensional tight-binding lattice. It is shown that a high-frequency modulation can drive the system under a transition between the broken-PT and the unbroken-PT phases. The time-periodic modulation in the unbroken-PT regime results in a significant broadening of the quasienergy spectrum, leading to a hyperballistic transport regime. Also, near the PT-symmetry breaking the dispersion curve of the lattice band becomes linear, with a strong reduction of quantum wave-packet spreading. DOI: 10.1103/PhysRevA.87.022119
Spectral and transport properties of time-periodic PT-symmetric tight-binding lattices
Della Valle Giuseppe;Longhi Stefano
2013
Abstract
We investigate the spectral properties and dynamical features of a time-periodic PT-symmetric Hamiltonian on a one-dimensional tight-binding lattice. It is shown that a high-frequency modulation can drive the system under a transition between the broken-PT and the unbroken-PT phases. The time-periodic modulation in the unbroken-PT regime results in a significant broadening of the quasienergy spectrum, leading to a hyperballistic transport regime. Also, near the PT-symmetry breaking the dispersion curve of the lattice band becomes linear, with a strong reduction of quantum wave-packet spreading. DOI: 10.1103/PhysRevA.87.022119File in questo prodotto:
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