SKM 2021 – scientific programme
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DY: Fachverband Dynamik und Statistische Physik
DY 3: Poster Sesssion I: Quantum Chaos and Many-Body Quantum Dynamics
DY 3.7: Poster
Tuesday, September 28, 2021, 17:30–19:30, P
Floquet prethermalization and Rabi oscillations in optically excited Hubbard clusters — •Junichi Okamoto1,2 and Francesco Peronaci3 — 1Institute of Physics, University of Freiburg, Germany — 2EUCOR Centre for Quantum Science and Quantum Computing, University of Freiburg, Germany — 3Max Planck Institute for the Physics of Complex Systems, Germany
Floquet engineering is a growing field of study to realize exotic many-body quantum states beyond the conventional material science in equilibrium. The Floquet picture in terms of effective Hamiltonians is valid in the limit of high-frequency drive, where the heating rate is suppressed. In contrast, when the drive frequency is comparable to the energies of the system, the effect of heating is non-negligible, and the analysis becomes intricate. However, even in this case, the existence of quasi-steady states, so-called Floquet prethermal states (FPSs), has been demonstrated, which expands the boundary of Floquet engineering to a realistic drive range. In this work, we have investigated the optically excited Hubbard clusters by exact diagonalization. We show that FPSs emerge not only off resonance but also for resonant excitation, provided a small field amplitude. Notably, FPSs at resonance occur with Rabi oscillations. At stronger fields, thermalization to infinite temperature is observed. We elucidate the origin of the FPSs using time-dependent perturbation theory and the two-site Hubbard model. A finite-size analysis substantiates the main findings.