Population inversion and entanglement in single and double glassy Jaynes-Cummings models

TL;DR

This paper investigates how Gaussian and non-Gaussian disorder in atom-cavity interactions affect population inversion and entanglement dynamics in Jaynes-Cummings models, revealing suppression effects and conditions to prevent entanglement sudden death.

Contribution

It introduces the effects of various types of quenched disorder on population inversion and entanglement in single and double Jaynes-Cummings models, highlighting disorder's role in controlling entanglement phenomena.

Findings

Disorder suppresses collapse and revival of population inversion.

Atom-photon entanglement exhibits persistent oscillations despite inversion suppression.

Disorder can prevent entanglement sudden death in double Jaynes-Cummings models.

Abstract

We find that a suppression of the collapse and revival of population inversion occurs in response to insertion of Gaussian quenched disorder in atom-cavity interaction strength in the Jaynes-Cummings model. The character of suppression can be significantly different in the presence of non-Gaussian disorder, which we uncover by studying the cases when the disorder is uniform, discrete, and Cauchy-Lorentz. Interestingly, the quenched averaged atom-photon entanglement keeps displaying nontrivial oscillations even after the population inversion has been suppressed. Subsequently, we show that disorder in atom-cavity interactions helps to avoid sudden death of atom-atom entanglement in the double Jaynes-Cummings model. We identify the minimal disorder strengths required to eliminate the possibility of sudden death. We also investigate the response of entanglement sudden death in the disordered double Jaynes-Cummings model in the presence of atom-atom coupling.