Traces of a Quantum Anti-Resonance in a Driven System

TL;DR

This paper investigates quantum anti-resonance (QAR) phenomena in driven quantum systems, specifically in a two-sided kicked infinite potential well, extending prior conditions and demonstrating persistence of QAR under perturbations.

Contribution

It extends the understanding of quantum anti-resonance conditions to a two-sided kicked potential well and shows its robustness through numerical evidence.

Findings

QAR occurs under extended conditions in a two-sided kicked well.

QAR effects are evident in the number of periods before state departure.

QAR persists even with large perturbations.

Abstract

It has been previously shown, that classically chaotic kicked systems, whose unperturbed spectrum posseses one energy scale, admits a quantum anti-resonance (QAR) behavior. In this study we extend the conditions under which which this QAR occurs for the case of a two-sided kicked 1D infinite potential well. It is then shown by a perturbative argument that this QAR effects the behavior of the equivalent driven well, i.e., the number of periods needed to leave the initial state has a sharp peak around the QAR. We give a numerical evidence that the anti resonance persists even for large values of the perturbation parameter.