Non-hermiticity in a kicked model: Decoherence and the semiclassical limit

Abstract

We study the effects of non-hermitian perturbation on a quantum kicked model exhibiting a localization transition. Using an exact renormalization scheme, we show that the critical line separating the extended and localized phases approaches its semiclassical limit as the imaginary part of the kicking parameter is steadily increased. Further, the metastability of the quantum states appears to be directly correlated with the deviation between the semi-classical and quantum results. This direct evidence of quantum-classical correspondence suggests that non-hermitian perturbations may be used to model decoherence.

References in corpus (6)

• Decoherence, Chaos, and the Correspondence Principle
• Lyapunov exponents, entropy production and decoherence
• Localization Transition in Incommensurate non-Hermitian Systems
• Dimer Decimation and Intricately Nested Localized-Ballistic Phases of Kicked Harper
• Localization and Fluctuations in Quantum Kicked Rotors
• Quantized Orbits and Resonant Transport

Cited by in corpus (1)

• Driving-induced multiple $\mathcal{P}\mathcal{T}$-symmetry breaking transitions and reentrant localization transitions in non-Hermitian Floquet quasicrystals