Exploring Quantum Chaos in a Kicked Bose-Hubbard Dimer

Recent research has explored the dynamics of quantum chaos in a kicked Bose-Hubbard dimer, a system of interacting bosons in double-well potentials. The study, titled "Statistical and dynamical aspects of quantum chaos in a kicked Bose-Hubbard dimer," was conducted by Chenguang Liang, Yu Zhang, and Shu Chen. It was submitted to arXiv on December 13, 2023, and revised on August 31, 2024.

The authors systematically investigate a two-site Bose-Hubbard model, where the on-site potential difference is periodically modulated. This model can also be represented as a kicked Lipkin-Meshkov-Glick model, which exhibits different dynamical behaviors compared to other models, such as the kicked top model.

One of the key findings of the research is the transition from regularity to chaos as the interaction strength increases. By analyzing the spectral statistics of the Floquet operator, the authors reveal local chaotic features within the system, indicating the presence of integrable islands even in a predominantly chaotic regime. This suggests that certain initial states may lead to different dynamical behaviors in the chaotic regime.

Additionally, the study demonstrates that the dynamical signatures of chaos can be observed through the evolution of local operators and the entanglement entropy. The numerical results highlight the complexity and richness of the dynamics in both regular and chaotic regimes, depending on the initial states chosen for the system.

This research provides valuable insights into the nature of quantum chaos and its implications for many-body physics and quantum dynamics, potentially influencing future experimental and theoretical studies in the field.