Entanglement of Two Jaynes-Cummings Atoms In Single Excitation Space

TL;DR

This paper investigates the entanglement dynamics of two atoms each in their own Jaynes-Cummings cavity, revealing periodic collapses and recoveries driven by energy exchange, with entanglement behavior depending on initial states and coupling ratios.

Contribution

It introduces a detailed analysis of entanglement evolution in a two-atom Jaynes-Cummings system considering partial Bell states and coupling ratios, highlighting conditions for periodic entanglement.

Findings

Entanglement exhibits collapses and recoveries over time.

Periodic entanglement dynamics occur when the coupling ratio is rational.

Time translation symmetry depends on the odd or even nature of the coupling ratio.

Abstract

We study the entanglement dynamics of two atoms coupled to their own Jaynes-Cummings cavities in single-excitation space. Here we use the concurrence to measure the atomic entanglement. And the partial Bell states as initial states are considered. Our analysis suggests that there exist collapses and recovers in the entanglement dynamics. The physical mechanism behind the entanglement dynamics is the periodical information and energy exchange between atoms and light fields. For the initial Partial Bell states, only if the ratio of two atom-cavity coupling strengths is a rational number, the evolutionary periodicity of the atomic entanglement can be found. And whether there is time translation between two kinds of initial partial Bell state cases depends on the odd-even number of the coupling strength ratio.