A super-Ohmic energy absorption in driven quantum chaotic systems

TL;DR

This paper investigates the initial energy absorption behavior in driven quantum chaotic systems of symplectic symmetry, revealing a super-Ohmic energy growth analogous to weak anti-localization, supported by analytical and numerical evidence.

Contribution

It introduces the concept of super-Ohmic energy absorption in symplectic quantum chaotic systems and confirms it through analytical and numerical methods.

Findings

Energy growth can be faster than linear at early stages

Analytical calculations show super-Ohmic behavior

Numerical simulations confirm the analytical predictions

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.