Freiburg 2024 – scientific programme
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A: Fachverband Atomphysik
A 12: Bosonic Quantum Gases III (joint session Q/A)
A 12.4: Talk
Tuesday, March 12, 2024, 11:45–12:00, Aula
Dynamical analysis of the chaotic phase in the Bose-Hubbard model — Óscar Dueñas Sánchez1 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 study the dynamical manifestation of the Bose-Hubbard model’s chaotic phase [1] by analysing the temporal behaviour of connected two-point density correlations on experimentally accessible time scales up to a few hundred tunneling times. The exact time evolution of initial states with unit density reveals that the chaotic phase can be unambiguously identified from the ‘early’ time fluctuations of the considered observable around its equilibrium value [2]. The emergence of the chaotic phase is also seen to leave an imprint in the initial growth of the time signals. Specifically, the short time evolution in systems with L 40 is scrutinized to investigate the potentially diffusive spreading of density correlations within the chaotic phase.
2mm
[1] L. Pausch et al., Phys. Rev. Lett. 126, 150601 (2021)
[2] D. Peña Murillo, MSc Thesis, Universidad de Salamanca (2022)
Keywords: Bose-Hubbard model; Quantum chaos; Many-body dynamics