Chaotic properties of quantum many-body systems in the thermodynamic limit

TL;DR

This paper explores how quantum many-body systems of interacting bosons exhibit chaotic properties as the number of particles increases, using numerical simulations and a correspondence with classical chaotic systems to understand their behavior in the thermodynamic limit.

Contribution

It introduces a method to analyze quantum chaos in many-body systems by linking quantum dynamics with classical chaoticity, especially in the thermodynamic limit.

Findings

Mixing properties increase with particle number or interaction strength.

A correspondence with classical chaotic systems helps infer quantum system behavior.

Quantum chaos characteristics emerge as system size grows.

Abstract

By using numerical simulations, we investigate the dynamics of a quantum system of interacting bosons. We find an increase of properly defined mixing properties when the number of particles increases at constant density or the interaction strength drives the system away from integrability. A correspondence with the dynamical chaoticity of an associated $c$-number system is then used to infer properties of the quantum system in the thermodynamic limit.