Transport in periodically and aperiodically driven quantum systems*

Recent research on periodically and aperiodically driven systems has revealed several novel, interesting non-equilibrium phenomena. Electric field-driven systems are a particularly important subclass from the perspective of Floquet engineering [1]. We study the non-trivial dynamics of the delocalized and localized phases [2] of a family of time-periodic and aperiodic electric-field-driven quantum systems in the non-interacting and interacting limits. In the presence of disorder, low-frequency periodic driving leads to subdiffusive transport in both the non-interacting and interacting limits. Next, the study of aperiodically (Fibonacci and Thue-Morse) driven systems shows anomalous transport in both the non-interacting and interacting limits.

We also study periodically and quasi-periodically driven long-range interacting systems. The interplay of periodic driving and long-range interaction results in a suppression of heating for a longer time if we tune the driving at a high frequency due to the frozen dynamics of the system. Interestingly, in the presence of discrete quasiperiodic driving (Fibonacci and Thue-Morse), the dynamics get slower with an increase in the range of interaction [3].

(1). Tiwari et al., arxiv: 2302.12271.

(2). Tiwari et al., Transport in periodically and aperiodically driven quantum systems, (manuscript under preparation).

(3). Tiwari et al., Dynamics of periodically and aperiodically driven long-range quantum systems, (manuscript under preparation).