Suppressed heating and pre-thermalization in chains of classical kicked rotors

QUEST Center event
Yes
Speaker
Atanu Rajak (BIU)
Date
08/11/2018 - 15:30 - 14:30Add to Calendar 2018-11-08 14:30:00 2018-11-08 15:30:00 Suppressed heating and pre-thermalization in chains of classical kicked rotors Periodic drives are a common tool to control physical systems, but have a limited applicability because time-dependent drives generically lead to heating. How to prevent the heating is a fundamental question with important practical implications. We address this question by analyzing a chain of coupled kicked rotors, and find two situations in which the heating rate can be arbitrarily small: (i) marginal localization, for drives with large frequencies and small amplitudes, (ii) linear stability, for initial conditions close to a fixed point. In both cases, we find that the dynamics shows universal scaling laws that allow us to distinguish localized, diffusive, and super-diffusive regimes. The marginally localized phase has common traits with recently discovered pre-thermalized phases of many-body quantum-Hamiltonian systems, but does not require quantum coherence. Resnick (#209) - room 210 המחלקה לפיזיקה physics.dept@mail.biu.ac.il Asia/Jerusalem public
Place
Resnick (#209) - room 210
Abstract

Periodic drives are a common tool to control physical systems, but have a limited applicability because time-dependent drives generically lead to heating. How to prevent the heating is a fundamental question with important practical implications. We address this question by analyzing a chain of coupled kicked rotors, and find two situations in which the heating rate can be arbitrarily small: (i) marginal localization, for drives with large frequencies and small amplitudes, (ii) linear stability, for initial conditions close to a fixed point. In both cases, we find that the dynamics shows universal scaling laws that allow us to distinguish localized, diffusive, and super-diffusive regimes. The marginally localized phase has common traits with recently discovered pre-thermalized phases of many-body quantum-Hamiltonian systems, but does not require quantum coherence.

תאריך עדכון אחרון : 03/11/2018