Spectral and transport properties of time-periodic PT-symmetric tight-binding lattices

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 quasi-energy spectrum, leading to a hyper-ballistic 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.

7 pages, 5 figures

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• Transport properties in a Non-Hermitian triple-quantum-dot structure
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• A unidirectional invisible PT-symmetric complex crystal with arbitrary thickness
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• Chaotic diffusion of complex trajectory and its quantum signature
• Quantum decay and amplification in a non-Hermitian unstable continuum
• Exactly solvable $\mathcal{P}\mathcal{T}$-symmetric models in two dimensions
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• Non-adiabatic transitions in parabolic and super-parabolic $\mathcal{P}\mathcal{T}$-symmetric non-Hermitian systems
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