Onset of chaos and its signature in the spectral autocorrelation function

Journal Article · Mon Feb 01 04:00:00 EST 1993 · Physical Review Letters; (United States)

DOI:https://doi.org/10.1103/PhysRevLett.70.572· OSTI ID:6903222

Alhassid, Y; Whelan, N ^[1]

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1. Center for Theoretical Physics, Sloane Physics Laboratory, and A. W. Wright Nuclear Structure Laboratory, Yale University, New Haven, Connecticut 06511 (United States)

The signature of chaos in the spectral autocorrelation function and in its Fourier transform, the survival probability, is shown to be in good agreement with the predictions of random matrix theory. An expression is proposed for the survival probability of an experimentally prepared nonstationary state when the dynamics are intermediate between chaotic and regular. Its validity is tested through the study of a model Hamiltonian . Two parameters can be extracted from the above observable, one which characterizes the level statistics and one which characterizes the distribution of transition intensities.

• DOE Contract Number: FG02-91ER40608
• OSTI ID: 6903222
• Journal Information: Physical Review Letters; (United States), Journal Name: Physical Review Letters; (United States) Vol. 70:5; ISSN 0031-9007; ISSN PRLTAO
• Country of Publication: United States
• Language: English

Related Subjects

661100* -- Classical & Quantum Mechanics-- (1992-)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
AMPLITUDES
CLASSICAL MECHANICS
CORRELATION FUNCTIONS
ENERGY SPECTRA
EQUATIONS
FOURIER TRANSFORMATION
FUNCTIONS
HAMILTONIANS
INTEGRAL TRANSFORMATIONS
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MECHANICS
PROBABILITY
QUANTUM MECHANICS
QUANTUM OPERATORS
RANDOMNESS
SPECTRA
STATISTICAL MODELS
TRANSFORMATIONS