Abstract:
Fluctuation relations have been one of the recent discoveries that have helped us take a step in understanding how thermodynamics can be applied to small systems in the quantum regime. In this study, we investigate the work distributions of a particular type of periodically driven chaotic system namely the kicked rotor system and the signatures of the system dynamics that are captured in these work distributions. We then verify the Crooks relation for this system. Finally, we examine the quantum-classical correspondence through numerical simulations at the level of work distributions and its moments for the chosen system which exhibits drastically different classical and quantum behavior.