Quantum chaos in a Bose-Hubbard dimer with modulated tunnelling
arXiv:1812.08456 · doi:10.1103/PhysRevA.100.013625
Abstract
In the large-, classical limit, the Bose-Hubbard dimer undergoes a transition to chaos when its tunnelling rate is modulated in time. We use exact and approximate numerical simulations to determine the features of the dynamically evolving state that are correlated with the presence of chaos in the classical limit. We propose the statistical distance between initially similar number distributions as a reliable measure to distinguish regular from chaotic behaviour in the quantum dynamics. Besides being experimentally accessible, number distributions can be efficiently reconstructed numerically from binned phase-space trajectories in a truncated Wigner approximation. Although the evolving Wigner function becomes very irregular in the chaotic regions, the truncated Wigner method is nevertheless able to capture accurately the beyond mean-field dynamics.
arXiv comment10 pages, 10 figures
References in corpus (20)
- Direct Observation of Tunneling and Nonlinear Self-Trapping in a single Bosonic Josephson Junction
- Driven quantum transport on the nanoscale
- XMDS2: Fast, scalable simulation of coupled stochastic partial differential equations
- 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
- Many-Body Coherent Destruction of Tunneling
- Quantum chaos and effective thermalization
- Measuring the Lyapunov exponent using quantum mechanics
- Beyond mean-field dynamics of small Bose-Hubbard systems based on the number-conserving phase space approach
- Numerical representation of quantum states in the positive-P and Wigner representations
- The dynamics of a strongly driven two component Bose-Einstein Condensate
- Quantum chaos in SU_3 models with trapped ions
- Controlling the Population Imbalance of a Bose-Einstein Condensate by a Symmetry-Breaking Driving Field
- Exploring quantum chaos with a single nuclear spin
- Tuning quantum measurements to control chaos
- Non-Gaussian pure states and positive Wigner functions
- Quantum phase-space analysis of population equilibration in multi-well ultracold atomic systems
- Global Phase Space of Coherence and Entanglement in a double-well BEC
- Floquet analysis of the modulated two-mode Bose-Hubbard model
- Approximate particle number distribution from direct stochastic sampling of the Wigner function
- Controlling chaos in the quantum regime using adaptive measurements
Cited by in corpus (14)
- Saddle-point scrambling without thermalisation
- Interacting bosons in a triple well: Preface of many-body quantum chaos
- Quantum chaos in a system with high degree of symmetries
- Chaos in the three-site Bose-Hubbard model -- classical vs quantum
- Thermalisation in a Bose-Hubbard dimer with modulated tunneling
- Floquet engineering of optical nonlinearities: a quantum many-body approach
- Floquet-engineered nonlinearities and controllable pair-hopping processes: From optical Kerr cavities to correlated quantum matter
- Multiparticle Entanglement Dynamics of Quantum Chaos in a Bose-Einstein condensate
- Eigenstate thermalization scaling in approaching the classical limit
- Synthetic gauge field in two interacting ultracold atomic gases without an optical lattice
- Statistical and dynamical aspects of quantum chaos in a kicked Bose-Hubbard dimer
- Phase Crossover induced by Dynamical Many Body Localization in Periodically Driven Long-Range Spin Systems
- Ballistic transport of interacting Bose particles in the tight-binding chain
- Dynamics of mode entanglement induced by particle-tunneling in the extended Bose-Hubbard dimer model