Wigner distribution function of atomic system interacts locally with a deformed cavity

TL;DR

This paper investigates how a deformed cavity affects the Wigner distribution function of an atomic system, revealing that deformation suppresses the function and that external parameters can control decoherence.

Contribution

It introduces the impact of cavity deformation on the Wigner distribution and identifies control parameters to mitigate decoherence effects.

Findings

Deformed cavity decreases the Wigner distribution function as deformation increases.

Initial state and system parameters influence the bounds of the Wigner distribution.

Adjusting distribution angles can suppress decoherence caused by cavity deformation.

Abstract

Wigner distribution function of atomic system interacts locally with a deformed cavity is discussed. It is shown that, the deformed cavity has a destructive effect on the Wigner distribution function, where it decreases as one increases the deformation strength. The upper and lower bounds of the Wigner distribution function depends on the initial state settings of atomic system (entangled/product), the initial values of the dipole-dipole interaction's and detuning parameters, and the external distribution weight and the phase angles. The possibility of suppressing the decay induced by the deformed cavity may be increased by increasing the dipole's strength or the detuning parameter. We show that the distribution angles may be considered as a control external parameters, that maximize/ minimize the Wigner distribution function. This means that by controlling on the distribution angles, one can increase the possibility of suppressing the decoherence induced by the deformed cavity.