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DY: Fachverband Dynamik und Statistische Physik
DY 31: Many-body Systems: Equilibration, Chaos and Localization II (joint session DY/TT)
DY 31.8: Vortrag
Mittwoch, 18. März 2020, 11:30–11:45, HÜL 186
Influence of drive smoothness on the Floquet MBL transition — •Tobias Gulden1,2, Asaf Diringer2, and Netanel Lindner2 — 1IST Austria — 2Technion - Israel Institute of Technology
We investigate how the critical driving amplitude at the Floquet MBL-to-ergodic phase transition changes between smooth and non-smooth driving over a large range of frequencies. To this end we study numerically a disordered spin-1/2 chain which is periodically driven by a sine or a square-wave drive, respectively. In both cases the critical driving amplitude increases monotonically with the frequency, and at large frequencies it is identical for the two drives. However, at low and intermediate frequencies the critical amplitude of the square-wave drive depends strongly on frequency, while the one of the cosine drive is almost constant in a wide frequency range. By analyzing the density of drive-induced resonances we conclude that this difference is due to resonances induced by higher harmonics in the Fourier spectrum which are present (absent) in the spectrum of the square-wave (sine) drive.