Failure of random matrix theory to correctly describe quantum dynamics

Tsampikos Kottos, Doron Cohen

Research output: Contribution to journalArticlepeer-review

11 Scopus citations

Abstract

Consider a classically chaotic system that is described by a Hamiltonian [formula presented] At [formula presented] the Hamiltonian undergoes a sudden change [formula presented] We consider the quantum-mechanical spreading of the evolving energy distribution, and argue that it cannot be analyzed using a conventional random-matrix theory (RMT) approach. Conventional RMT can be trusted only to the extent that it gives trivial results that are implied by first-order perturbation theory. Nonperturbative effects are sensitive to the underlying classical dynamics, and therefore the [formula presented] behavior for effective RMT models is strikingly different from the correct semiclassical limit.

Original languageEnglish GB
Article number065202
Pages (from-to)1-4
Number of pages4
JournalPhysical Review E
Volume64
Issue number6
DOIs
StatePublished - 1 Jan 2001

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

Fingerprint

Dive into the research topics of 'Failure of random matrix theory to correctly describe quantum dynamics'. Together they form a unique fingerprint.

Cite this