Statistics of quasi-energy separations in chaotic systems

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

doi:10.1103/PhysRevB.31.6852

Statistics of quasi-energy separations in chaotic systems

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

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46 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 language	English
Pages (from-to)	6852-6855
Number of pages	4
Journal	Physical Review B
Volume	31
Issue number	10
DOIs	https://doi.org/10.1103/PhysRevB.31.6852
State	Published - 1 Jan 1985
Externally published	Yes

ASJC Scopus subject areas

Condensed Matter Physics

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10.1103/PhysRevB.31.6852

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title = "Statistics of quasi-energy separations in chaotic systems",

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.",

author = "Mario Feingold and Shmuel Fishman and Grempel, {D. R.} and Prange, {R. E.}",

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AU - Prange, R. E.

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Y1 - 1985/1/1

N2 - 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.

AB - 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.

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Statistics of quasi-energy separations in chaotic systems

Abstract

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