The role of interparticle interaction and environmental coupling in a two-particle open quantum system

TL;DR

This study investigates how environmental bath coupling influences a two-particle quantum system, revealing effects on distribution localization, information entropy, and interparticle correlations through information-theoretic analysis.

Contribution

It introduces an information-theoretic approach to analyze the impact of bath coupling on interparticle interactions in open quantum systems, highlighting entropy and correlation changes.

Findings

Bath coupling causes position delocalization and momentum localization.

Entropy sum depends on interparticle potential and bath coupling strength.

Stronger repulsion reduces positional correlation and increases momentum correlation.

Abstract

The effects of bath coupling on an interacting two-particle quantum system are studied using tools from information theory. Shannon entropies of the one (reduced) and two-particle distribution functions in position, momentum and separable phase-space are examined. Results show that the presence of the bath leads to a delocalization of the distribution functions in position space, and a localization in momentum space. This can be interpreted as a loss of information in position space and a gain of information in momentum space. The entropy sum of the system, in the presence of a bath, is shown to be dependent on the strength of the interparticle potential and also on the strength of the coupling to the bath. The statistical correlation between the particles, and its dependence on the bath and interparticle potential, is examined using mutual information. A stronger repulsive potential between particles, in the presence of the bath, yields a smaller correlation between the particles positions, and a larger one between their momenta.