Entanglement induced interactions in binary mixtures

TL;DR

This paper develops a framework to identify and characterize entanglement-induced interactions in binary mixtures, revealing their effects on particle correlations and extending understanding to inhomogeneous and few-body systems.

Contribution

It introduces a novel expansion method based on entanglement strength to derive effective single-species descriptions and induced interactions in complex mixtures.

Findings

Induced interactions include short-range attraction and long-range repulsion.

The approach captures beyond mean-field effects in two-body correlations.

Application to ultracold Bose-Fermi mixtures demonstrates the framework's effectiveness.

Abstract

We establish a conceptual framework for the identification and the characterization of induced interactions in binary mixtures and reveal their intricate relation to entanglement between the components or species of the mixture. Exploiting an expansion in terms of the strength of the entanglement among the two species, enables us to deduce an effective single-species description. In this way, we naturally incorporate the mutual feedback of the species and obtain induced interactions for both species which are effectively present among the particles of same type. Importantly, our approach incorporates few-body and inhomogeneous systems extending the scope of induced interactions where two particles interact via a bosonic bath-type environment. Employing the example of a one-dimensional spin-polarized ultracold Bose-Fermi mixture, we obtain induced Bose-Bose and Fermi-Fermi interactions with short-range attraction and long-range repulsion. With this, we show how beyond species mean-field physics visible in the two-body correlation functions can be understood via the induced interactions.