Statistical and dynamical aspects of quantum chaos in a kicked Bose-Hubbard dimer
arXiv:2312.08159 · doi:10.1103/PhysRevA.109.033316
Abstract
Systems of interacting bosons in double-well potentials, modeled by two-site Bose-Hubbard models, are of significant theoretical and experimental interest and attracted intensive studies in contexts ranging from many-body physics and quantum dynamics to the onset of quantum chaos. In this work we systematically study a kicked two-site Bose-Hubbard model (Bose-Hubbard dimer) with the on-site potential difference being periodically modulated. Our model can be equivalently represented as a kicked Lipkin-Meshkov-Glick model and thus displays different dynamical behaviors from the kicked top model. By analyzing spectral statistics of Floquet operator, we unveil that the system undergoes a transition from regularity to chaos with increasing the interaction strength. Then based on semiclassical approximation and the analysis of Rényi entropy of coherent states in the basis of Floquet operator eigenstates, we reveal the local chaotic features of our model, which indicate the existence of integrable islands even in the deep chaotic regime. The semiclassical analysis also suggests that the system in chaotic regime may display different dynamical behavior depending on the choice of initial states. Finally, we demonstrate that dynamical signatures of chaos can be manifested by studying dynamical evolution of local operators and out of time order correlation function as well as the entanglement entropy. Our numerical results exhibit the richness of dynamics of the kicked Bose-Hubbard dimer in both regular and chaotic regimes as the initial states are chosen as coherent spin states located in different locations of phase space.
arXiv comment13 pages, 14 figures
References in corpus (51)
- A bound on chaos
- Random Matrix Theories in Quantum Physics: Common Concepts
- Localization of interacting fermions at high temperature
- Direct Observation of Tunneling and Nonlinear Self-Trapping in a single Bosonic Josephson Junction
- Quantum Coherent Atomic Tunneling between Two Trapped Bose-Einstein Condensates
- The distribution of the ratio of consecutive level spacings in random matrix ensembles
- Many body localization in Heisenberg XXZ magnet in a random field
- Quantum Entanglement Growth Under Random Unitary Dynamics
- Ballistic spreading of entanglement in a diffusive nonintegrable system
- Measuring the scrambling of quantum information
- Lyapunov Exponent and Out-of-Time-Ordered Correlator's Growth Rate in a Chaotic System
- Multifractality and critical fluctuations at the Anderson transition
- Floquet time crystal in the Lipkin-Meshkov-Glick model
- Does scrambling equal chaos?
- Unifying fast scrambling, thermalization and entanglement through the measurement of FOTOCs in the Dicke model
- Entanglement entropy in the Lipkin-Meshkov-Glick model
- Scrambling and entanglement spreading in long-range spin chains
- Entanglement as a signature of quantum chaos
- Positive quantum Lyapunov exponents in experimental systems with a regular classical limit
- Periodic Modulation Effect on Self-Trapping of Two weakly coupled Bose-Einstein Condensates
- Scrambling Dynamics and Out-of-Time Ordered Correlators in Quantum Many-Body Systems: a Tutorial
- Bridging entanglement dynamics and chaos in semiclassical systems
- Chaos, entanglement and decoherence in the quantum kicked top
- Reversible quantum information spreading in many-body systems near criticality
- Renyi-Wehrl entropies as measures of localization in phase space
- Quantum dynamics in the bosonic Josephson junction
- Linear growth of the entanglement entropy and the Kolmogorov-Sinai rate
- Quantum dynamics of a model for two Josephson-coupled Bose--Einstein condensates
- Early-Time Exponential Instabilities in Non-Chaotic Quantum Systems
- Entanglement production in bosonic systems: Linear and logarithmic growth
- Entanglement and chaos in the kicked top
- Semiclassical quantization of an N-particle Bose-Hubbard model
- Exact results for a tunnel-coupled pair of trapped Bose-Einstein condensates
- Saddle-point scrambling without thermalisation
- Kicked Bose-Hubbard systems and kicked tops -- destruction and stimulation of tunneling
- Tighter quantum uncertainty relations follow from a general probabilistic bound
- Multifractal wave functions of simple quantum maps
- Quantum chaos, thermalization and tunneling in an exactly solvable few body system
- Quantum signatures of chaos, thermalization and tunneling in the exactly solvable few body kicked top
- Nonlinear dynamics and quantum chaos of a family of kicked -spin models
- Statistics of phase space localization measures and quantum chaos in the kicked top model
- Coherence dynamics of kicked Bose-Hubbard dimers: Interferometric signatures of chaos
- Out-of-time-ordered correlators and the Loschmidt echo in the quantum kicked top: How low can we go?
- Quantum chaos in a Bose-Hubbard dimer with modulated tunnelling
- Quantum chaos without false positives
- Multifractality in quasienergy space of coherent states as a signature of quantum chaos
- Thermalisation in a Bose-Hubbard dimer with modulated tunneling
- Signatures of quantum chaos in an out-of-time-order tensor
- Dynamical transition from localized to uniform scrambling in locally hyperbolic systems
- Genuine Quantum Chaos and Physical Distance Between Quantum States
- Toppling pencils -- Macroscopic Randomness from Microscopic Fluctuations
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