Temporal crossover from classical to quantum behavior: a Markov-chain approach

Ying-Cheng Lai, Edward Ott, Celso Grebogi

Research output: Contribution to journalArticle

14 Citations (Scopus)

Abstract

Previous renormalization group analyses that for chaotic systems near their critical points, the crossover time from classical to quantum behaviors scales with the Planck constant h{stroke} as tmax∼h{stroke}. We argue that the same scaling relation also holds for typical two-degrees-of-freedom and time-independent chaotic Hamiltonian systems. Our analysis makes use of a self-similar Markov-chain model which was previously used to qualitatively explain the algebraic decay law in Hamiltonian systems.

Original languageEnglish (US)
Pages (from-to)148-152
Number of pages5
JournalPhysics Letters A
Volume173
Issue number2
DOIs
StatePublished - Feb 1 1993
Externally publishedYes

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Markov chains
strokes
crossovers
critical point
degrees of freedom
scaling
decay

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Temporal crossover from classical to quantum behavior : a Markov-chain approach. / Lai, Ying-Cheng; Ott, Edward; Grebogi, Celso.

In: Physics Letters A, Vol. 173, No. 2, 01.02.1993, p. 148-152.

Research output: Contribution to journalArticle

Lai, Ying-Cheng ; Ott, Edward ; Grebogi, Celso. / Temporal crossover from classical to quantum behavior : a Markov-chain approach. In: Physics Letters A. 1993 ; Vol. 173, No. 2. pp. 148-152.
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