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Steady state of periodically driven systems

TYPEStatistical & Bio Seminar
Speaker:Prof. David Gelbwaser
Affiliation:Faculty of Chemistry, Technion
Date:16.11.2025
Time:11:30 - 12:30
Location:Lidow Nathan Rosen (300)
Abstract:

Periodic driving is used to steer physical systems to unique steady states, producing enhanced properties inaccessible to non-driven systems. Characterizing the steady state is challenging, and existing results are generally limited to specific types of driving, such as high frequency. In this talk, I will go beyond this limit and use the language of open quantum systems to describe a generic periodically driven system interacting with a low-density thermal gas. Exploiting the framework of Floquet scattering theory, we establish general Floquet thermalization conditions constraining the nature of the steady state and the transition rates. Moreover, I will examine theoretically the structure of the steady state at high temperatures, and find out that it complies, rather surprisingly, with the Boltzmann law for any driving. The quantum nature of the system does not seem to play an essential role in our results, which may potentially be extended to classical systems, such as active systems. Numerical calculations illustrate our theoretical elaborations for a simple toy model.