Condensate Dynamics with Non-Local Interactions

TL;DR

This paper derives the dynamics of systems with non-local interactions, revealing how exchange symmetry and correlations influence their structure, which is vital for understanding phenomena from nuclei to dark matter.

Contribution

It introduces a novel framework for describing non-local interaction effects in quantum systems, extending beyond traditional mean-field models.

Findings

Derived non-local interaction dynamics in degenerate quantum systems

Highlighted the impact of exchange symmetry and correlations

Discussed limits for mean-field approximation restoration

Abstract

Systems of identical particles possessing non-local interactions are capable of exhibiting extra-classical properties beyond the characteristic quantum length scales. This letter derives the dynamics of such systems in the non-relativistic and degenerate limit, showing the effect of exchange symmetry and correlations on structure both in and out of equilibrium. Such descriptions may be crucial to understanding systems ranging from nuclei to dark matter. Appropriate limits for restoring the mean-field description are also discussed.