SKM 2023 – wissenschaftliches Programm
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DY: Fachverband Dynamik und Statistische Physik
DY 55: Dynamics and Chaos in Many-Body Systems II (joint session DY/TT)
DY 55.3: Vortrag
Freitag, 31. März 2023, 10:00–10:15, MOL 213
Chaos in the three-site Bose-Hubbard model - classical vs quantum — •Goran Nakerst1 and Masudul Haque1,2 — 1Institut für Theoretische Physik, Technische Universität Dresden, D-01062 Dresden, Germany — 2Max-Planck-Institut für Physik komplexer Systeme, D-01187 Dresden, Germany
We consider a quantum many-body system - the Bose-Hubbard system on three sites - which has a classical limit, and which is neither strongly chaotic nor integrable but rather shows a mixture of the two types of behavior. We compare quantum measures of chaos (eigenvalue statistics and eigenvector structure) in the quantum system, with classical measures of chaos (Lyapunov exponents) in the corresponding classical system. As a function of energy and interaction strength, we demonstrate a strong overall correspondence between the two cases. In contrast to both strongly chaotic and integrable systems, the largest Lyapunov exponent is shown to be a multi-valued function of energy.