Relaxation, chaos, and thermalization in a three-mode model of a BEC
arXiv:1807.02352 · doi:10.1088/1367-2630/aaed68
Abstract
We study the complex quantum dynamics of a system of many interacting atoms in an elongated anharmonic trap. The system is initially in a Bose-Einstein condensed state, well described by Thomas-Fermi profile in the elongated direction and the ground state in the transverse directions. After a sudden quench to a coherent superposition of the ground and lowest energy transverse modes, quantum dynamics starts. We describe this process employing a three-mode many-body model. The experimental realization of this system displays decaying oscillations of the atomic density distribution. While a mean-field description predicts perpetual oscillations of the atomic density distribution, our quantum many-body model exhibits a decay of the oscillations for sufficiently strong atomic interactions. We associate this decay with the fragmentation of the condensate during the evolution. The decay and fragmentation are also linked with the approach of the many-body model to the chaotic regime. The approach to chaos lifts degeneracies and increases the complexity of the eigenstates, enabling the relaxation to equilibrium and the onset of thermalization. We verify that the damping time and quantum signatures of chaos show similar dependences on the interaction strength and on the number of atoms.
arXiv comment14 figures
References in corpus (68)
- From Quantum Chaos and Eigenstate Thermalization to Statistical Mechanics and Thermodynamics
- Random Matrix Theories in Quantum Physics: Common Concepts
- Observation of many-body localization of interacting fermions in a quasi-random optical lattice
- Quantum many-body systems out of equilibrium
- Collapse and Revival of the Matter Wave Field of a Bose-Einstein Condensate
- 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
- Equilibration, thermalisation, and the emergence of statistical mechanics in closed quantum systems
- Observation of entanglement propagation in a quantum many-body system
- Light-cone-like spreading of correlations in a quantum many-body system
- Dynamics of a Quantum Phase Transition
- Non-equilibrium coherence dynamics in one-dimensional Bose gases
- Non-local propagation of correlations in long-range interacting quantum systems
- Time-resolved Observation and Control of Superexchange Interactions with Ultracold Atoms in Optical Lattices
- Quantum mechanical evolution towards thermal equilibrium
- The approach to thermal equilibrium in quantized chaotic systems
- Foundation of Statistical Mechanics under experimentally realistic conditions
- Thermalization and prethermalization in isolated quantum systems: a theoretical overview
- Local emergence of thermal correlations in an isolated quantum many-body system
- Quantum Chaos and Thermalization in Isolated Systems of Interacting Particles
- Onset of quantum chaos in one-dimensional bosonic and fermionic systems and its relation to thermalization
- The multi-configurational time-dependent Hartree method for bosons: Many-body dynamics of bosonic systems
- Ultracold atoms out of equilibrium
- Excited state quantum phase transitions in many-body systems
- Observation of Elastic Doublon Decay in the Fermi-Hubbard Model
- Quantum equilibration in finite time
- Localization and the effects of symmetries in the thermalization properties of one-dimensional quantum systems
- Thermal Fluctuations in Quantized Chaotic Systems
- Emergence of quantum chaos in finite interacting Fermi systems
- Equilibration of quantum systems and subsystems
- Spatial fragmentation of a Bose-Einstein condensate in a double-well potential
- Twin-atom beams
- Statistical Theory of Finite Fermi-Systems Based on the Structure of Chaotic Eigenstates
- Exact quantum dynamics of a bosonic Josephson junction
- Quantum phase space picture of Bose-Einstein Condensates in a double well: Proposals for creating macroscopic quantum superposition states and a study of quantum chaos
- Quantum chaos and thermalization in gapped systems
- General variational many-body theory with complete self-consistency for trapped bosonic systems
- Exact diagonalization: the Bose-Hubbard model as an example
- Optimal control of complex atomic quantum systems
- Onset of chaos and relaxation in isolated systems of interacting spins-1/2: energy shell approach
- Interaction-controlled transport of an ultracold Fermi gas
- Chaos and statistical relaxation in quantum systems of interacting particles
- Generic dynamical features of quenched interacting quantum systems: Survival probability, density imbalance and out-of-time-ordered correlator
- Interferometry with non-classical motional states of a Bose-Einstein condensate
- Structure of eigenstates and quench dynamics at an excited state quantum phase transition
- Time Fluctuations in Isolated Quantum Systems of Interacting Particles
- Bose polaron as an instance of quantum Brownian motion
- Dynamical Manifestations of Quantum Chaos: Correlation Hole and Bulge
- Inevitable Power-law Behavior of Isolated Many-Body Quantum Systems and How It Anticipates Thermalization
- Vibrational state inversion of a Bose-Einstein condensate: optimal control and state tomography
- On the speed of fluctuations around thermodynamic equilibrium
- Quantum Speed Limit and Optimal Control of Many-Boson Dynamics
- Power-law decay exponents: a dynamical criterion for predicting thermalization
- Structure of Eigenstates and Local Spectral Density of States: A Three-Orbital Schematic Shell Model
- Equilibration time scales in closed many-body quantum systems
- Universality of Fragmentation in the Schrödinger Dynamics of Bosonic Josephson Junctions
- Effects of the interplay between initial state and Hamiltonian on the thermalization of isolated quantum many-body systems
- Resonant Generation of Topological Modes in Trapped Bose Gases
- Gaussian Equilibration
- Transport and Control in One-Dimensional Systems
- Tunneling, self-trapping and manipulation of higher modes of a BEC in a double well
- Many-particle dephasing after a quench
- Macroscopic Superposition of Ultracold Atoms with Orbital Degrees of Freedom
- Macroscopic superposition states of ultracold bosons in a double-well potential
- What it takes to shun equilibration
- Vortex macroscopic superpositions in ultracold bosons in a double-well potential
- Topological Coherent Modes in Trapped Bose Gas
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- Excited-state quantum phase transitions
- Reversible quantum information spreading in many-body systems near criticality
- Chaos and quantum scars in Bose-Josephson junction coupled to a bosonic mode
- Classical and quantum chaos in a three-mode bosonic system
- Interacting bosons in a triple well: Preface of many-body quantum chaos
- Isospectral twirling and quantum chaos
- Random Matrix Theory of the Isospectral twirling
- From many-body oscillations to thermalization in an isolated spinor gas
- Localized dynamics following a quantum quench in a non-integrable system: An example on the sawtooth ladder
- Caustics in quantum many-body dynamics
- Entangled states of dipolar bosons generated in a triple-well potential
- Many-body quantum dynamics of an asymmetric bosonic Josephson junction
- Probing the edge between integrability and quantum chaos in interacting few-atom systems
- Quantum Chaos in the Extended Dicke Model
- From integrability to chaos: the quantum-classical correspondence in a triple well bosonic model
- Longitudinal and transversal resonant tunneling of interacting bosons in a two-dimensional Josephson junction: Mean-field and many-body dynamics
- Quantum chaos in interacting Bose-Bose mixtures
- Dynamics of Bose-Einstein Recondensation in Higher Bands
- Complex density of continuum states in resonant quantum tunneling
- Wavefunction structure in quantum many-fermion systems with -body interactions: conditional -normal form of strength functions
- Continuum analogues of excited-state quantum phase transitions
- Partial Fermionization---Spectral Universality in 1D Repulsive Bose Gases
- Chaos, thermalization and breakdown of quantum-classical correspondence in a collective many-body system