Non-perturbative response: chaos versus disorder

Abstract

Quantized chaotic systems are generically characterized by two energy scales: the mean level spacing $\Delta$, and the bandwidth ${\Delta }_b\propto \hslash$. This implies that with respect to driving such systems have an adiabatic, a perturbative, and a non-perturbative regimes. A "strong" quantal non-perturbative response effect is found for {\em disordered} systems that are described by random matrix theory models. Is there a similar effect for quantized {\em chaotic} systems? Theoretical arguments cannot exclude the existence of a "weak" non-perturbative response effect, but our numerics demonstrate an unexpected degree of semiclassical correspondence.

8 pages, 2 figures, final version to be published in JPA

References in corpus (2)

• Stadium Billiard with Moving Walls
• Failure of random matrix theory to correctly describe quantum dynamics

Cited by in corpus (3)

• Quantum pumping: The charge transported due to a translation of a scatterer
• Wavepacket Dynamics, Quantum Reversibility and Random Matrix Theory
• Diffractive energy spreading and its semiclassical limit