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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 55.8: Talk
Friday, March 31, 2023, 11:30–11:45, MOL 213
Finite-size prethermal behavior at the chaos-to-integrable transition — •Johannes Dieplinger1 and Soumya Bera2 — 1Institute of Theoretical Physics, University of Regensburg, D-93040 Germany — 2Department of Physics, Indian Institute of Technology Bombay, Mumbai 400076, India
We investigate the dynamics of the complex Sachdev-Ye-Kitaev model complemented with a single particle hopping term, leading to a chaos-to-integrable transition of the eigenstates. We determine the dynamics close to the transition via the density-density correlator, where we observe a prethermal plateau in the ergodic phase. This indicates a finite time localised behavior up to an interaction-dependent thermalization time scale. This time scale is quantified as tth∝ 2α/√λ as a function of the relative interaction strength λ. The results are validated by investigating the time-dependent structure of the time-evolved wave functions in the Fock space.