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Q: Fachverband Quantenoptik und Photonik
Q 43: Ultracold Matter (Bosons) III (joint session Q/A)
Q 43.3: Talk
Wednesday, March 12, 2025, 15:00–15:15, WP-HS
Chaotic phase of the tilted Bose-Hubbard model — Pilar Martín Clavero1 and •Alberto Rodríguez1,2 — 1Departamento de Física Fundamental, Universidad de Salamanca, E-37008 Salamanca, Spain — 2Instituto Universitario de Física Fundamental y Matemáticas (IUFFyM), Universidad de Salamanca, E-37008 Salamanca, Spain
We present an energy-resolved map of the many-body chaotic phase of the tilted Bose-Hubbard model at unit filling as a function of the tilt F, interaction strength U and tunneling energy J. Our results are based on the analysis of spectral statistics and of eigenvector structure via generalized fractal dimensions. While quantum chaos intuitively disappears for sufficiently large tilts, we demonstrate that a non-vanishing finite tilt can enlarge the extension of the ergodic region, as compared to the F=0 case [1]. We furthermore characterize the chaotic regime in U-F space around the energy of the Fock state with homogeneous density, typically used in experimental studies. 2mm [1] P. M. Clavero, “Chaotic Phase of the Bose-Hubbard Hamiltonian in an external static field”. BSc Thesis. Universidad de Salamanca (2024).
Keywords: Many-body quantum chaos; Bose-Hubbard Hamiltonian; Tilted optical lattices