Many-body dynamics of a Bose system with attractive interactions on a ring

TL;DR

This paper explores the quantum many-body dynamics of an attractive Bose system on a ring, revealing modulation instability, entropy irregularities, and experimental signatures near a critical interaction point.

Contribution

It provides a detailed analysis of quantum correlations and instability phenomena in a finite Bose system, extending mean-field predictions with many-body insights.

Findings

Modulation instability occurs near the critical interaction point.

Shannon entropy becomes irregular due to quantum correlations.

Momentum distribution and fringe visibility can experimentally verify the instability.

Abstract

We investigate the many-body dynamics of an effectively attractive one-dimensional Bose system confined in a toroidal trap. The mean-field theory predicts that a bright-soliton state will be formed when increasing the interparticle interaction over a critical point. The study of quantum many-body dynamics in this paper reveals that there is a modulation instability in a finite Bose system correspondingly. We show that Shannon entropy becomes irregular near and above the critical point due to quantum correlations. We also study the dynamical behavior of the instability by exploring the momentum distribution and the fringe visibility, which can be verified experimentally by releasing the trap