Quantum manifestations of chaotic scattering

Ying Cheng Lai; Reinhold Bl̈mel; Edward Ott; Celso Grebogi

doi:10.1103/PhysRevLett.68.3491

Quantum manifestations of chaotic scattering

Ying Cheng Lai, Reinhold Bl̈mel, Edward Ott, Celso Grebogi

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110 Scopus citations

Abstract

We examine quantum chaotic scattering in the semiclassical regime for the two cases where the classical scattering is hyperbolic and nonhyperbolic. It is shown that in the nonhyperbolic case the energy-dependent S-matrix autocorrelation function C exhibits a cusp-shaped peak at =0 (where denotes the energy difference). This indicates that the fine scale fluctuations with energy of the S matrix are characteristically greatly enhanced in the nonhyperbolic case as compared with the hyperbolic case.

Original language	English (US)
Pages (from-to)	3491-3494
Number of pages	4
Journal	Physical Review Letters
Volume	68
Issue number	24
DOIs	https://doi.org/10.1103/PhysRevLett.68.3491
State	Published - 1992
Externally published	Yes

ASJC Scopus subject areas

Physics and Astronomy(all)

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10.1103/PhysRevLett.68.3491

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title = "Quantum manifestations of chaotic scattering",

abstract = "We examine quantum chaotic scattering in the semiclassical regime for the two cases where the classical scattering is hyperbolic and nonhyperbolic. It is shown that in the nonhyperbolic case the energy-dependent S-matrix autocorrelation function C exhibits a cusp-shaped peak at =0 (where denotes the energy difference). This indicates that the fine scale fluctuations with energy of the S matrix are characteristically greatly enhanced in the nonhyperbolic case as compared with the hyperbolic case.",

author = "Lai, {Ying Cheng} and Reinhold B{\"l}mel and Edward Ott and Celso Grebogi",

year = "1992",

doi = "10.1103/PhysRevLett.68.3491",

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AU - Lai, Ying Cheng

AU - Bl̈mel, Reinhold

AU - Ott, Edward

AU - Grebogi, Celso

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AB - We examine quantum chaotic scattering in the semiclassical regime for the two cases where the classical scattering is hyperbolic and nonhyperbolic. It is shown that in the nonhyperbolic case the energy-dependent S-matrix autocorrelation function C exhibits a cusp-shaped peak at =0 (where denotes the energy difference). This indicates that the fine scale fluctuations with energy of the S matrix are characteristically greatly enhanced in the nonhyperbolic case as compared with the hyperbolic case.

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DO - 10.1103/PhysRevLett.68.3491

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Quantum manifestations of chaotic scattering

Abstract

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