Thermalisation in a Bose-Hubbard dimer with modulated tunneling
arXiv:2006.05046 · doi:10.1103/PhysRevA.102.023330
Abstract
The periodically modulated Bose-Hubbard dimer model offers an experimentally realizable and highly tunable platform for observing the scrambling of quantum information and the apparent thermalisation of isolated, interacting quantum many-body systems. In this work we apply fidelity out-of-time-order correlators to establish connections between thermalisation in Floquet system, the exponential growth of FOTOCs as quantified by a non-zero quantum Lyapunov exponent, and the underlying classical transition from regular to chaotic dynamics in the dimer. Moreover, we demonstrate that a non-zero quantum Lyapunov exponent can also be inferred from measures quantifying the delocalisation of the Floquet modes of the system such as the Shannon entropy, which approaches unity if the system thermalises to the periodic Gibbs ensemble prediction.
arXiv comment7 pages, 4 figures
References in corpus (37)
- Feshbach Resonances in Ultracold Gases
- QuTiP 2: A Python framework for the dynamics of open quantum systems
- From Quantum Chaos and Eigenstate Thermalization to Statistical Mechanics and Thermodynamics
- A bound on chaos
- QuTiP: An open-source Python framework for the dynamics of open quantum systems
- Direct Observation of Tunneling and Nonlinear Self-Trapping in a single Bosonic Josephson Junction
- Black holes and the butterfly effect
- Black holes as mirrors: quantum information in random subsystems
- Universal High-Frequency Behavior of Periodically Driven Systems: from Dynamical Stabilization to Floquet Engineering
- Atomic quantum gases in periodically driven optical lattices
- Fast Scramblers
- Chaos in quantum channels
- High-frequency approximation for periodically driven quantum systems from a Floquet-space perspective
- Measuring out-of-time-order correlations and multiple quantum spectra in a trapped ion quantum magnet
- Long-time behavior of periodically driven isolated interacting lattice systems
- Measuring the scrambling of quantum information
- Measuring out-of-time-order correlators on a nuclear magnetic resonance quantum simulator
- Onset of quantum chaos in one-dimensional bosonic and fermionic systems and its relation to thermalization
- Verified Quantum Information Scrambling
- Lyapunov Exponent and Out-of-Time-Ordered Correlator's Growth Rate in a Chaotic System
- Periodic thermodynamics of isolated systems
- Localization and the effects of symmetries in the thermalization properties of one-dimensional quantum systems
- Does scrambling equal chaos?
- Unifying fast scrambling, thermalization and entanglement through the measurement of FOTOCs in the Dicke model
- Quantum information scrambling in a trapped-ion quantum simulator with tunable range interactions
- Quantum and Classical Lyapunov Exponents in Atom-Field Interaction Systems
- Positive quantum Lyapunov exponents in experimental systems with a regular classical limit
- Out-of-Time-Order Correlation at a Quantum Phase Transition
- Probing scrambling using statistical correlations between randomized measurements
- Onset of Floquet Thermalisation
- Emergent prethermalization signatures in out-of-time ordered correlations
- Fast scrambling on sparse graphs
- Absence of Thermalization in Finite Isolated Interacting Floquet Systems
- Semiclassical echo dynamics in the Sachdev-Ye-Kitaev model
- Quantum chaos in a Bose-Hubbard dimer with modulated tunnelling
- Floquet analysis of the modulated two-mode Bose-Hubbard model
- A double-well atom trap for fluorescence detection at the Heisenberg limit
Cited by in corpus (9)
- Saddle-point scrambling without thermalisation
- Interacting bosons in a triple well: Preface of many-body quantum chaos
- Dynamical transition from localized to uniform scrambling in locally hyperbolic systems
- Classical route to ergodicity and scarring in collective quantum systems
- Statistical and dynamical aspects of quantum chaos in a kicked Bose-Hubbard dimer
- Out-of-Time Ordered Correlators in Kicked Coupled Tops: Information Scrambling in Mixed Phase Space and the Role of Conserved Quantities
- Degree of simplicity of Floquet states of a periodically driven Bose-Hubbard dimer
- Pre-Floquet states facilitating coherent subharmonic response of periodically driven many-body systems
- Exploring the properties of quantum scars in a toy model