# Dissociation of one-dimensional matter-wave breathers due to quantum many-body effects

## TL;DR

This paper predicts that quantum many-body effects cause the dissociation of one-dimensional matter-wave breathers, a phenomenon absent in mean-field models, and suggests it can be observed experimentally within current parameter ranges.

## Contribution

It demonstrates the quantum many-body dissociation of matter-wave breathers using ab initio Bethe Ansatz dynamics, highlighting effects beyond mean-field theory.

## Key findings

- Quantum many-body effects cause breather dissociation.
- Mean-field models do not predict dissociation due to integrability.
- Dissociation time is on the order of seconds for typical setups.

## Abstract

We use the ab initio Bethe Ansatz dynamics to predict the dissociation of one-dimensional cold-atom breathers that are created by a quench from a fundamental soliton. We find that the dissociation is a robust quantum many-body effect, while in the mean-field (MF) limit the dissociation is forbidden by the integrability of the underlying nonlinear Schr\"{o}dinger equation. The analysis demonstrates the possibility to observe quantum many-body effects without leaving the MF range of experimental parameters. We find that the dissociation time is of the order of a few seconds for a typical atomic-soliton setting.