Quantum chaos in interacting Bose-Bose mixtures

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.

25 pages, 8 figures

References in corpus (13)

• Thermalization and its mechanism for generic isolated quantum systems
• Experimental Observation of a Generalized Gibbs Ensemble
• Generalized Thermalization in an Integrable Lattice System
• Two Fermions in a double well: Exploring a fundamental building block of the Hubbard model
• Off-diagonal matrix elements of local operators in many-body quantum systems
• Heteronuclear molecules in an optical dipole trap
• Quantum correlations and spatial localization in one-dimensional ultracold bosonic mixtures
• Quenching small quantum gases: Genesis of the orthogonality catastrophe
• Quantum magnetism in strongly interacting one-dimensional spinor Bose systems
• Many-body quantum chaos in stroboscopically-driven cold atoms
• Ground-state properties of interacting two-component Bose gases in a one-dimensional harmonic trap
• Ground-state properties of interacting two-component Bose gases in a hard-wall trap
• Separable approximation to two-body matrix elements

Cited by in corpus (4)

• Engineering impurity Bell states through coupling with a quantum bath
• Comparison of renormalized interactions using one-dimensional few-body systems as a testbed
• Symmetry oscillations in strongly interacting one-dimensional mixtures
• Quantum correlations and spatial localization in trapped one-dimensional ultra-cold Bose-Bose-Bose mixtures