Pseudo-classical theory for fidelity of nearly resonant quantum rotors

TL;DR

This paper develops a semiclassical theory to predict fidelity revivals and their disappearance in nearly resonant quantum rotors, supported by numerical verification and discussion of experimental implications.

Contribution

It introduces an analytical semiclassical approach to understand fidelity dynamics in quantum rotors, highlighting effects of symmetry breaking.

Findings

Predicts fidelity revivals and their disappearance due to symmetry breaking

Provides numerical verification of the semiclassical predictions

Discusses potential experimental implications

Abstract

Using a semiclassical ansatz we analytically predict for the fidelity of delta-kicked rotors the occurrence of revivals and the disappearance of intermediate revival peaks arising from the breaking of a symmetry in the initial conditions. A numerical verification of the predicted effects is given and experimental ramifications are discussed.