Measurement of one-dimensional matter-wave quantum breather

TL;DR

This paper investigates the quantum dynamics of attractively interacting bosons on a ring, revealing breather behavior through measurements and showing signs of soliton dissociation, using Bethe ansatz and numerical simulations.

Contribution

It introduces a quantum many-body analysis of matter-wave breathers, highlighting measurement-induced breather detection and soliton dissociation signatures.

Findings

Breather dynamics emerge from measurements despite initial translational invariance.

Quantum fluctuations of the center of mass are crucial for observing breather behavior.

Signs of soliton dissociation are observed during many-body evolution.

Abstract

Employing the Bethe ansatz approach and numerical simulations of measurements of particles' positions we investigate a post-quench many-body dynamics of attractively interacting bosons on a ring, which in the mean-field approach corresponds to the so-called breather solution. Despite the fact that the initial many-body ground state is translationally invariant, the measurements reveal breather dynamics if quantum fluctuations of the center of mass of the system are extracted. Moreover, the analysis of the many-body evolution shows signatures of dissociation of the solitons that form the breather.