Quantum chaos in interacting Bose-Bose mixtures

TL;DR

This paper investigates how quantum chaos emerges in one-dimensional Bose-Bose mixtures by tuning interactions, revealing that increased inter-component interactions and symmetry breaking lead to chaotic behavior.

Contribution

It provides a systematic analysis of the transition from integrability to chaos in Bose-Bose mixtures using exact diagonalization and spectral analysis.

Findings

Strong signatures of chaos appear with increased inter-component interactions.

Breaking intra-component symmetry enhances chaotic dynamics.

Level spacing distribution aligns with chaotic quantum systems.

Abstract

The appearance of chaotic quantum dynamics significantly depends on the symmetry properties of the system, and in cold atomic systems many of these can be experimentally controlled. In this work, we systematically study the emergence of quantum chaos in a minimal system describing one-dimensional harmonically trapped Bose-Bose mixtures by tuning the particle-particle interactions. Using an advanced exact diagonalization scheme, we examine the transition from integrability to chaos when the inter-component interaction changes from weak to strong. Our study is based on the analysis of the level spacing distribution and the distribution of the matrix elements of observables in terms of the eigenstate thermalization hypothesis and their dynamics. We show that one can obtain strong signatures of chaos by increasing the inter-component interaction strength and breaking the symmetry of intra-component interactions.