Quantum chaos in interacting Bose-Bose mixtures
arXiv:2301.04818 · doi:10.21468/SciPostPhys.15.2.048
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.
arXiv comment25 pages, 8 figures
References in corpus (63)
- Feshbach Resonances in Ultracold Gases
- Chaos and Quantum Thermalization
- Thermalization and its mechanism for generic isolated quantum systems
- From Quantum Chaos and Eigenstate Thermalization to Statistical Mechanics and Thermodynamics
- Random Matrix Theories in Quantum Physics: Common Concepts
- Atomic Scattering in Presence of an External Confinement and a Gas of Impenetrable Bosons
- Quantum thermalization through entanglement in an isolated many-body system
- Probing the relaxation towards equilibrium in an isolated strongly correlated 1D Bose gas
- Relaxation and Pre-thermalization in an Isolated Quantum System
- Exploring the many-body localization transition in two dimensions
- Experimental Observation of a Generalized Gibbs Ensemble
- Eigenstate Thermalization Hypothesis
- The approach to thermal equilibrium in quantized chaotic systems
- Deterministic Preparation of a Tunable Few-Fermion System
- Onset of quantum chaos in one-dimensional bosonic and fermionic systems and its relation to thermalization
- Generalized Thermalization in an Integrable Lattice System
- From Few to Many: Observing the Formation of a Fermi Sea One Atom at a Time
- Fermionization of two distinguishable fermions
- Two Fermions in a double well: Exploring a fundamental building block of the Hubbard model
- Thermal Fluctuations in Quantized Chaotic Systems
- Antiferromagnetic Heisenberg Spin Chain of a Few Cold Atoms in a One-Dimensional Trap
- Off-diagonal matrix elements of local operators in many-body quantum systems
- Pairing in few-fermion systems with attractive interactions
- One-dimensional mixtures of several ultracold atoms: a review
- Entanglement and matrix elements of observables in interacting integrable systems
- Onset of chaos and relaxation in isolated systems of interacting spins-1/2: energy shell approach
- Eigenstate Thermalization in a Locally Perturbed Integrable System
- Chaos and statistical relaxation in quantum systems of interacting particles
- Heteronuclear molecules in an optical dipole trap
- Mixture of ultracold lithium and cesium atoms in an optical dipole trap
- Fermionization of two-component few-fermion systems in a one-dimensional harmonic trap
- Time Fluctuations in Isolated Quantum Systems of Interacting Particles
- Prethermalization Revealed by the Relaxation Dynamics of Full Distribution Functions
- Two component interacting bosons: 1-d exact results
- Exact results of the ground state and excitation properties of a two-component interacting Bose system
- Quenching small quantum gases: Genesis of the orthogonality catastrophe
- Quantum correlations and spatial localization in one-dimensional ultracold bosonic mixtures
- Quantum magnetism in strongly interacting one-dimensional spinor Bose systems
- Speck of Chaos
- On the speed of fluctuations around thermodynamic equilibrium
- Dynamical signatures of quantum chaos and relaxation timescales in a spin-boson system
- Sharp crossover from composite fermionization to phase separation in mesoscopic mixtures of ultracold bosons
- Quantum gas mixtures in different correlation regimes
- Many-body quantum chaos in stroboscopically-driven cold atoms
- Non-Equilibrium Thermodynamics of Harmonically Trapped Bosons
- Interacting bosons in a triple well: Preface of many-body quantum chaos
- Evaporative cooling of a small number of atoms in a single-beam microscopic dipole trap
- 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
- Relaxation, chaos, and thermalization in a three-mode model of a BEC
- Thermalization of a quantum Newton's cradle in a one-dimensional quasicondensate
- Many-particle dephasing after a quench
- Numerically exact approach to few-body problems far from a perturbative regime
- Efficient construction of many-body Fock states having the lowest energies
- Probing the edge between integrability and quantum chaos in interacting few-atom systems
- Signatures of quantum chaos in low-energy mixtures of few fermions
- Impurity induced quantum chaos for an ultracold bosonic ensemble in a double-well
- How many particles make up a chaotic many-body quantum system?
- A modular implementation of an effective interaction approach for harmonically trapped fermions in 1D
- Separable approximation to two-body matrix elements
- Traces of Integrability in Relaxation of One-Dimensional Two-Mass Mixtures
- Quantum Chirikov criterion: Two particles in a box as a toy model for a quantum gas
- Connecting scrambling and work statistics for short-range interactions in the harmonic oscillator
Cited by in corpus (5)
- Few-body Bose gases in low dimensions -- a laboratory for quantum dynamics
- 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