SKM 2023 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 43: Poster: Quantum Dynamics and Many-Body Systems

DY 43.5: Poster

Donnerstag, 30. März 2023, 13:00–16:00, P1

Optimal route to quantum chaos in the Bose-Hubbard model — Lukas Pausch^1,2, Edoardo Carnio^2,3, Andreas Buchleitner^2,3, and •Alberto Rodríguez⁴ — ¹Département de Physique, Université de Liège, Belgium — ²Physikalisches Institut, Albert-Ludwigs-Universität Freiburg, Hermann-Herder-Straße 3, D-79104, Freiburg, Germany — ³EUCOR Centre for Quantum Science and Quantum Computing, Albert-Ludwigs-Universität Freiburg, Freiburg, Germany — ⁴Departamento de Física Fundamental, Universidad de Salamanca, E-37008 Salamanca, Spain

The dependence of the chaotic phase of the Bose-Hubbard Hamiltonian [1,2] on particle number N, system size L and particle density is investigated in terms of spectral and eigenstate features. We analyze the development of the chaotic phase as the limit of infinite Hilbert space dimension is approached along different directions, and show that the fastest route to chaos is the path at fixed density n1 [3]. The limit N→∞ at constant L leads to a slower convergence of the chaotic phase towards the random matrix theory benchmarks. In this case, from the distribution of the eigenstate generalized fractal dimensions, the ergodic phase becomes more distinguishable from random matrix theory for larger N, in a similar way as along trajectories at fixed density. 2mm [1] L. Pausch et al., Phys. Rev. Lett. 126, 150601 (2021)
[2] L. Pausch et al., New J. Phys. 23, 123036 (2021)
[3] L. Pausch et al., J. Phys. A 55, 324002 (2022)