Localization, quantum resonances, and ratchet acceleration in a periodically kicked PT -symmetric quantum rotator

摘要: We consider wave transport phenomena in a $\mathcal{PT}$-symmetric extension of the periodically kicked quantum rotator model and reveal that dynamical localization assists unbroken $\mathcal{PT}$ phase. In delocalized (quantum resonance) regime, symmetry is always broken phase ratchet acceleration arises as signature unidirectional non-Hermitian transport. An optical implementation Hamiltonian, based on transverse beam propagation passive resonator with combined loss gratings, suggested to visualize modes fractional Talbot cavities.