Exploring Chaos in Many-Body Quantum Systems
Recent research by Anant Vijay Varma, Amichay Vardi, and Doron Cohen explores the dynamics of many-body systems through a study titled "Many-body adiabatic passage: Instability, chaos, and quantum classical correspondence". The paper, submitted to arXiv on September 2, 2024, examines how adiabatic passage in systems of interacting bosons is influenced by particle interactions and entanglement.
The authors focus on STIRAP-like (Stimulated Raman Adiabatic Passage) schemes within Bose-Hubbard chains. They identify two types of chaos: low-dimensional chaos in three-site chains and high-dimensional chaos in chains with more than three sites. The research highlights that the dynamics generated by a transfer protocol exhibit significant classical and quantum chaos characteristics. These findings are evident in various analytical approaches, including mean-field classical treatment, truncated-Wigner semiclassical treatment, and full many-body quantum simulations.
This study contributes to the understanding of chaotic dynamics in quantum systems, which could have implications for quantum computing and information processing. The ability to control and predict chaotic behavior in quantum systems may enhance the development of robust quantum technologies, potentially leading to advancements in quantum algorithms and simulations.
For further details, the paper can be accessed at arXiv: 2409.00952.