A super-Ohmic energy absorption in driven quantum chaotic systems

Abstract

We consider energy absorption by driven chaotic systems of the symplectic symmetry class. According to our analytical perturbative calculation, at the initial stage of evolution the energy growth with time can be faster than linear. This appears to be an analog of weak anti-localization in disordered systems with spin-orbit interaction. Our analytical result is also confirmed by numerical calculations for the symplectic quantum kicked rotor.

4 pages, 2 figures

References in corpus (4)

• Spin-orbit coupling effects on quantum transport in lateral semiconductor dots
• Field theory of the quantum kicked rotor
• Dynamic localization in quantum dots: analytical theory
• Limits of the dynamical approach to non-linear response of mesoscopic systems

Cited by in corpus (7)

• Quantum Hall effect in a one-dimensional dynamical system
• Dynamical Localization of Coupled Relativistic Kicked Rotors
• Planck's quantum-driven integer quantum Hall effect in chaos
• Emergence of integer quantum Hall effect from chaos
• Stroboscopic model of transport through a quantum dot with spin-orbit scattering
• Classical Theory of Quantum Work Distribution in Chaotic Fermion Systems
• Superdiffusive quantum work and adiabatic quantum evolution in finite temperature chaotic Fermi systems