Non-perturbative response: Chaos versus disorder

Doron Cohen, Tsampikos Kottos

Research output: Contribution to journalArticlepeer-review

3 Scopus citations


Quantized chaotic systems are generically characterized by two energy scales: the mean level spacing Δ, and the bandwidth Δb α ℏ. This implies that with respect to driving such systems have an adiabatic, a perturbative and a non-perturbative regimes. A 'strong' nonlinearity in the response, due to a quantal non-perturbative effect, is found for disordered systems that are described by random matrix theory models. Is there a similar effect for quantized chaotic systems? Theoretical arguments cannot exclude the existence of an analogous 'weak' version of the above-mentioned nonlinear response effect, but our numerics demonstrates an unexpected degree of semiclassical correspondence.

Original languageEnglish
Pages (from-to)10151-10158
Number of pages8
JournalJournal of Physics A: Mathematical and General
Issue number40
StatePublished - 10 Oct 2003

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • General Physics and Astronomy


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