Ehrenfest time in the weak dynamical localization

TL;DR

This paper investigates the Ehrenfest time regime in the quantum kicked rotor, providing first-principles diagrammatic calculations of weak localization corrections to understand the classical-quantum crossover in chaotic systems.

Contribution

It offers the first systematic diagrammatic analysis of weak localization corrections in QKR without regularization, focusing on the Ehrenfest time regime.

Findings

Quantitative description of weak localization corrections in QKR

Insights into classical-quantum crossover phenomena

First-principles calculations of Ehrenfest time effects

Abstract

The quantum kicked rotor (QKR) is known to exhibit dynamical localization in the space of its angular momentum. The present paper is devoted to the systematic first--principal (without a regularizer) diagrammatic calculations of the weak--localization corrections for QKR. Our particular emphasis is on the Ehrenfest time regime -- the phenomena characteristic for the classical--to--quantum crossover of classically chaotic systems.