Statistics of quasi-energy separations in chaotic systems

Mario Feingold, Shmuel Fishman, D. R. Grempel, R. E. Prange

Research output: Contribution to journalArticlepeer-review

45 Scopus citations

Abstract

The distribution of the quasi-energy separations for the periodically kicked quantum rotor is calculated. This distribution is different from that associated with chaotic systems whose wave functions are extended throughout the system. Rather it agrees with the statistics expected for random band-diagonal Hamiltonians, which describe quantum motion in a disordered medium, where the wave functions are localized. Novel statistical measures based on this localization are devised and applied.

Original languageEnglish
Pages (from-to)6852-6855
Number of pages4
JournalPhysical Review B
Volume31
Issue number10
DOIs
StatePublished - 1 Jan 1985
Externally publishedYes

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