Resonant quantum kicked rotor with two internal levels

TL;DR

This paper introduces a quantum kicked rotor model with two internal levels, demonstrating quantum resonances, entanglement, and equivalence to quantum walks, advancing understanding of quantum dynamics with internal degrees of freedom.

Contribution

It models a two-level atom as a quantum kicked rotor, revealing quantum resonances and entanglement phenomena, and establishes its equivalence to quantum walks on the line.

Findings

Exhibits ballistic spreading at quantum resonances

Shows entanglement between internal and momentum states

Establishes equivalence to quantum walk models

Abstract

We develop a system consisting of a quantum kicked rotor with an additional degree of freedom. This models a single two-level atom with internal ground and excited states, and it is characterized by its quantum resonances with ballistic spreading and by the entanglement between the internal and momentum degrees of freedom. These behaviors establish an equivalence between our model and the usual quantum walk on the line.