Quantum and Classical Chaos in Kicked Coupled Jaynes-Cummings Cavities

TL;DR

This paper investigates the interplay of quantum and classical chaos in coupled Jaynes-Cummings cavities, revealing complex dynamics like localization and tunneling, and proposes an experimental implementation scheme.

Contribution

It introduces a model of coupled Jaynes-Cummings cavities exhibiting both classical chaos and quantum localization phenomena, and suggests a feasible experimental setup.

Findings

Classical phase space shows chaos with stable regions.

Quantum dynamics display localization and tunneling.

Proposed experimental scheme for realization.

Abstract

We consider two Jaynes-Cummings cavities coupled periodically with a photon hopping term. The semi-classical phase space is chaotic, with regions of stability over some ranges of the parameters. The quantum case exhibits dynamic localization and dynamic tunneling between classically forbidden regions. We explore the correspondence between the classical and quantum phase space and propose a scheme for implementing the system experimentally.