Quantum chaos in a system with high degree of symmetries
arXiv:2005.06589 · doi:10.1103/PhysRevE.102.032208
Abstract
We study dynamical signatures of quantum chaos in one of the most relevant models in many-body quantum mechanics, the Bose-Hubbard model, whose high degree of symmetries yields a large number of invariant subspaces and degenerate energy levels. While the standard procedure to reveal signatures of quantum chaos requires classifying the energy levels according to their symmetries, we show that this classification is not necessary to obtain manifestation of spectral correlations in the temporal evolution of the survival probability. Our findings exhibit the survival probability as a powerful tool to detect the presence of quantum chaos, avoiding the experimental and theoretical challenges associated with the determination of a complete set of energy eigenstates and their symmetry classification.
arXiv comment12 pages, 7 figures
References in corpus (26)
- Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
- A quantum gas microscope - detecting single atoms in a Hubbard regime optical lattice
- Measuring entanglement entropy through the interference of quantum many-body twins
- Quantum thermalization through entanglement in an isolated many-body system
- Probing the Superfluid to Mott Insulator Transition at the Single Atom Level
- Probing entanglement in a many-body-localized system
- Positive quantum Lyapunov exponents in experimental systems with a regular classical limit
- Thouless and relaxation time scales in many-body quantum systems
- Out-of-Time-Order Correlation at a Quantum Phase Transition
- Quantum Chaos in the Bose-Hubbard model
- Dynamics of the Bose-Hubbard model: transition from Mott insulator to superfluid
- Generic dynamical features of quenched interacting quantum systems: Survival probability, density imbalance and out-of-time-ordered correlator
- Extended nonergodic states in disordered many-body quantum systems
- Gauging classical and quantum integrability through out-of-time ordered correlators
- Reversible quantum information spreading in many-body systems near criticality
- Coherent Backscattering in Fock Space: a Signature of Quantum Many-Body Interference in Interacting Bosonic Systems
- Dynamical Manifestations of Quantum Chaos: Correlation Hole and Bulge
- Dynamical signatures of quantum chaos and relaxation timescales in a spin-boson system
- Quantum Virtual Cooling
- Self-averaging in many-body quantum systems out of equilibrium: Chaotic systems
- Bose-Hubbard Hamiltonian: Quantum Chaos approach
- Periodic Mean-Field Solutions and the Spectra of Discrete Bosonic Fields: Trace Formula for Bose-Hubbard Models
- Quantum Non-demolition Measurement of a Many-Body Hamiltonian
- Quantum vs classical dynamics in a spin-boson system: manifestations of spectral correlations and scarring
- Quantum chaos in a Bose-Hubbard dimer with modulated tunnelling
- Signatures of chaos and thermalization in the dynamics of many-body quantum systems
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- Probing symmetries of quantum many-body systems through gap ratio statistics
- Speck of Chaos
- Many-body quantum chaos in stroboscopically-driven cold atoms
- Interacting bosons in a triple well: Preface of many-body quantum chaos
- Non-ergodic behaviour of clean Bose-Hubbard chains
- Quantum chaos, equilibration and control in extremely short spin chains
- Probing the edge between integrability and quantum chaos in interacting few-atom systems
- Self-averaging in many-body quantum systems out of equilibrium: Time dependence of distributions
- Eigenstate thermalization scaling in approaching the classical limit
- Effects of auto-correlated disorder on the dynamics in the vicinity of the many-body localization transition
- How to seed ergodic dynamics of interacting bosons under conditions of many-body quantum chaos
- Statistical complexity and the road to equilibrium in many-body chaotic quantum systems
- Propagation of two-particle correlations across the chaotic phase for interacting bosons
- Symmetry Properties of Quantum Dynamical Entropy
- Persistent revivals in a system of trapped bosonic atoms
- Characterization of the chaotic phase in the tilted Bose-Hubbard model
- A bipartite Sachdev-Ye-Kitaev model: Conformal limit and level statistics
- Dynamical Behaviour of Density Correlations Across the Chaotic Phase for Interacting Bosons
- Late-time universal distribution functions of observables in one-dimensional many-body quantum systems
- Chaos, thermalization and breakdown of quantum-classical correspondence in a collective many-body system