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Topological Quantum Computing Open Quantum Systems Decoherence Quantum Simulation

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

arXiv

Authors: Stefano Longhi

Year

2016

Paper ID

42855

Status

Preprint

Abstract Read

~2 min

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Abstract

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

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We consider wave transport phenomena in a mathcalPT-symmetric extension of the periodically-kicked quantum rotator model and reveal that dynamical localization assists the...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1610.06007 [2] arXiv https://arxiv.org/abs/1610.06007 [3] Publisher https://arxiv.org/abs/1610.06007

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