Interacting bosons in a triple well: Preface of many-body quantum chaos
arXiv:2111.13714 · doi:10.1103/PhysRevE.105.034204
Abstract
Systems of interacting bosons in triple-well potentials are of significant theoretical and experimental interest. They are explored in contexts that range from quantum phase transitions and quantum dynamics to semiclassical analysis. Here, we systematically investigate the onset of quantum chaos in a triple-well model that moves away from integrability as its potential gets tilted. Even in its deepest chaotic regime, the system presents features reminiscent of integrability. Our studies are based on level spacing distribution and spectral form factor, structure of the eigenstates, diagonal and off-diagonal elements of observables in relationship to the eigenstate thermalization hypothesis. With only three sites, the system's eigenstates are at the brink of becoming fully chaotic and thus show distributions other than Gaussian, which resonates with the results for the observables.
arXiv comment15 pages, 16 figures
References in corpus (84)
- From Quantum Chaos and Eigenstate Thermalization to Statistical Mechanics and Thermodynamics
- A bound on chaos
- Random Matrix Theories in Quantum Physics: Common Concepts
- Anderson Transitions
- Observation of quantum droplets in a strongly dipolar Bose gas
- Long-lived and transient supersolid behaviors in dipolar quantum gases
- 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
- Localization and the effects of symmetries in the thermalization properties of one-dimensional quantum systems
- Off-diagonal matrix elements of local operators in many-body quantum systems
- Quantum chaos and thermalization in gapped systems
- Thouless and relaxation time scales in many-body quantum systems
- Mean-field dynamics of a Bose-Einstein condensate in a time-dependent triple-well trap: Nonlinear eigenstates, Landau-Zener models and STIRAP
- Onset of chaos and relaxation in isolated systems of interacting spins-1/2: energy shell approach
- The spectral form factor is not self-averaging
- Quantum Chaos in the Bose-Hubbard model
- Generic dynamical features of quenched interacting quantum systems: Survival probability, density imbalance and out-of-time-ordered correlator
- Josephson Oscillation and Transition to Self-Trapping for Bose-Einstein-Condensates in a Triple-Well Trap
- Quantum spin transistor with a Heisenberg spin chain
- Comparative quantum and semi-classical analysis of Atom-Field Systems I: density of states and excited-state quantum phase transitions
- Statistical properties of the spectrum the extended Bose-Hubbard model
- Quantum Dynamics of Three Coupled Atomic Bose-Einstein Condensates
- Mesoscopic ensembles of polar bosons in triple-well potentials
- Eigenstate Thermalization, Random Matrix Theory and Behemoths
- Ground-state properties of the attractive one-dimensional Bose-Hubbard model
- Time Fluctuations in Isolated Quantum Systems of Interacting Particles
- Quantum dynamics of a model for two Josephson-coupled Bose--Einstein condensates
- Dynamical Manifestations of Quantum Chaos: Correlation Hole and Bulge
- Self-trapping mechanisms in the dynamics of three coupled Bose-Einstein condensates
- Inevitable Power-law Behavior of Isolated Many-Body Quantum Systems and How It Anticipates Thermalization
- Complexity in parametric Bose-Hubbard Hamiltonians and structural analysis of eigenstates
- Speck of Chaos
- Wavepacket dynamics in energy space of a chaotic trimeric Bose-Hubbard system
- Dynamical signatures of quantum chaos and relaxation timescales in a spin-boson system
- Realistic many-body quantum systems vs full random matrices: static and dynamical properties
- Accurate multi-boson long-time dynamics in triple-well periodic traps
- Dynamics of a Bose-Einstein condensate in a symmetric triple-well trap
- Control of tunneling in an atomtronic switching device
- Coherent tunneling via adiabatic passage in a three-well Bose-Hubbard system
- Quench-induced resonant tunneling mechanisms of bosons in an optical lattice with harmonic confinement
- Atomtronic protocol designs for NOON states
- Classical and quantum chaos in a three-mode bosonic system
- Minimal Fokker-Planck theory for the thermalization of mesoscopic subsystems
- Transport dynamics of ultracold atoms in a triple-well transistor-like potential
- Self-averaging in many-body quantum systems out of equilibrium: Chaotic systems
- Entanglement entropy and macroscopic quantum states with dipolar bosons in a triple-well potential
- Fragmented condensation in Bose-Hubbard trimers with tunable tunnelling
- Single-particle eigenstate thermalization in quantum-chaotic quadratic Hamiltonians
- Multifractality and self-averaging at the many-body localization transition
- Signatures of the correlation hole in total and partial cross sections
- Superfluidity and Chaos in low dimensional circuits
- The two-site Bose--Hubbard model
- Probing thermalization through spectral analysis with matrix product operators
- The role of anisotropy in dipolar bosons in triple-well potentials
- Relaxation, chaos, and thermalization in a three-mode model of a BEC
- Triangular Bose-Hubbard trimer as a minimal model for a superfluid circuit
- Quantum chaos in a system with high degree of symmetries
- Phase separation can be stronger than chaos
- Interaction Driven Interband Tunneling of Bosons in the Triple Well
- Two-site Bose-Hubbard model with nonlinear tunneling: classical and quantum analysis
- Behaviour of the energy gap in a model of Josephson coupled Bose-Einstein condensates
- From few- to many-body quantum systems
- Phase Transition, Entanglement and Squeezing in a Triple-Well Condensate
- Quantum chaos in a Bose-Hubbard dimer with modulated tunnelling
- Adiabatic passage through chaos
- Exactly solvable models in atomic and molecular physics
- Interaction-induced coherence among polar bosons stored in triple-well potentials
- Chaos in the Bose-Hubbard model and random two-body Hamiltonians
- Quantum integrable multi-well tunneling models
- Caustics in quantum many-body dynamics
- Thermalisation in a Bose-Hubbard dimer with modulated tunneling
- Entangled states of dipolar bosons generated in a triple-well potential
- Quantum dynamics and entanglement in coherent transport of atomic population
- Control of unstable macroscopic oscillations in the dynamics of three coupled Bose condensates
- Quantum-classical correspondence of a system of interacting bosons in a triple-well potential
- Nonlinear dynamics of Rydberg-dressed Bose-Einstein condensates in a triple-well potential
- Probabilistic Hysteresis in Integrable and Chaotic Isolated Hamiltonian Systems
- Probing the edge between integrability and quantum chaos in interacting few-atom systems
- Second order tunneling of two interacting bosons in a driven triple well
- Dynamical evolutions in non-Hermitian triple-well system with complex potential
- Management of the Correlations of Ultracold Bosons in Triple Wells
- Eigenstate thermalization scaling in approaching the classical limit
- Chaos induced breakdown of Bose-Hubbard modeling
- Many-body dynamical localization and thermalization
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- Chaos in the three-site Bose-Hubbard model -- classical vs quantum
- Statistics of phase space localization measures and quantum chaos in the kicked top model
- Chaos and Thermalization in the Spin-Boson Dicke Model
- Quantum Chaos in the Extended Dicke Model
- From integrability to chaos: the quantum-classical correspondence in a triple well bosonic model
- Quantum chaos in interacting Bose-Bose mixtures
- Power-law decay of the fraction of the mixed eigenstates in kicked top model with mixed-type classical phase space
- Ultracold dipolar bosons trapped in atomtronic circuits
- Spread complexity and dynamical transition in multimode Bose-Einstein condensates
- Single-quasiparticle eigenstate thermalization
- How to seed ergodic dynamics of interacting bosons under conditions of many-body quantum chaos
- Many-body effects in a composite bosonic Josephson junction
- Caustics in the sine-Gordon model from quenches in coupled 1D Bose gases
- Out-of-Time-Order-Correlation in perturbed quantum wells