Characterization of the chaotic phase in the tilted Bose-Hubbard model
arXiv:2504.01462 · doi:10.1103/vv47-k25m
Abstract
The chaotic phase of the tilted Bose-Hubbard model is identified as a function of energy, tilt strength and particle interaction, from the eigenstate structure and the statistical features of the energy spectrum. Our analysis reveals that the chaotic phase of the bare Bose-Hubbard Hamiltonian can actually be enhanced by the presence of a moderate tilt. We further unveil the development and scaling of the chaotic regime from the perspective of a homogeneous density configuration typically used in cold atom experiments, providing a valuable phase diagram for future theoretical and experimental studies of this system.
10 pages, 7 figures
References in corpus (25)
- Many-Body Physics with Ultracold Gases
- Thermalization and its mechanism for generic isolated quantum systems
- Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
- Localization of interacting fermions at high temperature
- The distribution of the ratio of consecutive level spacings in random matrix ensembles
- Experimental Observation of a Generalized Gibbs Ensemble
- Strongly Correlated Quantum Walks in Optical Lattices
- Semiclassical Foundation of Universality in Quantum Chaos
- Long-lived Bloch oscillations with bosonic Sr atoms and application to gravity measurement at micrometer scale
- Control of Interaction-Induced Dephasing of Bloch Oscillations
- Observation of photon-assisted tunneling in optical lattices
- Atom interferometry with a weakly-interacting Bose Einstein condensate
- Off-diagonal matrix elements of local operators in many-body quantum systems
- Many-Body Localization in the Age of Classical Computing
- Coherent Delocalization of Atomic Wave Packets in Driven Lattice Potentials
- Global characteristics of all eigenstates of local many-body Hamiltonians: participation ratio and entanglement entropy
- Statistical properties of the spectrum the extended Bose-Hubbard model
- Direct observation of hydrodynamization and local prethermalization
- Benchmarking Quantum Simulators using Ergodic Quantum Dynamics
- Quantum chaos in a system with high degree of symmetries
- Spatial Bloch oscillations of a quantum gas in a "beat-note" superlattice
- Optimal route to quantum chaos in the Bose-Hubbard model
- Classical Chaos in Quantum Computers
- How to seed ergodic dynamics of interacting bosons under conditions of many-body quantum chaos
- Propagation of two-particle correlations across the chaotic phase for interacting bosons