Stability and pre-thermalization in chains of classical kicked rotors

TKM Institutsseminar

Vortragender:

Dr. Atanu Rajak

Datum:

23.03.2018 12:30

Ort:

Room 10.01, 10th Floor, Bldg. 30.23, KIT Campus South

Zugehörigkeit:

Bar-Ilan University, Ramat Gan, Israel

Gastgeber:

Dr. Igor Gornyi

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) linear stability, for initial conditions leading to an effective integrability, and (ii) marginal localization, for drives with large frequencies and small amplitudes. In both cases, we find that the dynamics shows universal scaling laws that allow us to distinguish localized, diffusive, and sub-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.