# Relaxation of Shannon entropy for trapped interacting bosons with dipolar interactions

## TL;DR

This paper investigates the relaxation dynamics of dipolar bosons in a harmonic trap, focusing on Shannon entropy evolution, correlation functions, and the effects of non-local interactions, revealing rapid relaxation to a correlated many-body state.

## Contribution

It introduces an analysis of Shannon entropy relaxation in dipolar bosons, highlighting the impact of non-local interactions on relaxation and correlation development.

## Key findings

- Fast entropy relaxation with saturation observed.
- Non-local dipolar interactions significantly affect dynamics.
- Relaxed state shows diagonal correlations and anti-bunching effects.

## Abstract

We study the dynamics of dipolar bosons in an external harmonic trap. We monitor the time evolution of the occupation in the natural orbitals and normalized first- and second-order Glauber's correlation functions. We focus in particular on the relaxation dynamics of the Shannon entropy. Comparison with the corresponding results for contact interactions is presented. We observe significant effects coming from the presence of the non-local repulsive part of the interaction. The relaxation process is very fast for dipolar bosons with a clear signature of a truly saturated maximum entropy state. We also discuss the connection between the entropy production and the occurrence of correlations and loss of coherence in the system. We identify the long-time relaxed state as a many-body state retaining only diagonal correlations in the first-order correlation function and building up anti-bunching effect in the second-order correlation function.