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Spectral and transport properties of time-periodic<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="script">PT</mml:mi></mml:math>-symmetric tight-binding lattices
We investigate the spectral properties and dynamical features of a time-periodic $\mathcal{PT}$-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-$\mathcal{PT}$ and the unbroken-$\mathcal{PT}$ phases. The time-periodic modulation in the unbroken-$\mathcal{PT}$ regime results in a significant …