Long-range correlations in the wave functions of chaotic systems

Vladimir I. Fal'ko; K. B. Efetov

Long-range correlations in the wave functions of chaotic systems

Vladimir I. Fal'ko^*
, K. B. Efetov

^*Corresponding author for this work

Lancaster University
Oxford University
Institute of Solid State Physics, Russian Academy of Sciences
Max-Planck-Institut für Physik Komplexer Systeme
Lev Davidovich Landau Institute for Theoretical Physics

Research output: Contribution to journal › Article › peer-review

Abstract

We study correlations of the amplitudes of wave functions of a chaotic system at large distances. For this purpose, a joint distribution function of the amplitudes at two distant points in a sample is calculated analytically using the supersymmetry technique. The result shows that although in the limit of the orthogonal and unitary symmetry classes the correlations vanish, they are finite through the entire crossover regime and may be reduced only by localization effects.

Original language	English
Pages (from-to)	912-915
Number of pages	4
Journal	Physical Review Letters
Volume	77
Issue number	5
Publication status	Published - 1996

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Cite this

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title = "Long-range correlations in the wave functions of chaotic systems",

abstract = "We study correlations of the amplitudes of wave functions of a chaotic system at large distances. For this purpose, a joint distribution function of the amplitudes at two distant points in a sample is calculated analytically using the supersymmetry technique. The result shows that although in the limit of the orthogonal and unitary symmetry classes the correlations vanish, they are finite through the entire crossover regime and may be reduced only by localization effects.",

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AU - Fal'ko, Vladimir I.

AU - Efetov, K. B.

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N2 - We study correlations of the amplitudes of wave functions of a chaotic system at large distances. For this purpose, a joint distribution function of the amplitudes at two distant points in a sample is calculated analytically using the supersymmetry technique. The result shows that although in the limit of the orthogonal and unitary symmetry classes the correlations vanish, they are finite through the entire crossover regime and may be reduced only by localization effects.

AB - We study correlations of the amplitudes of wave functions of a chaotic system at large distances. For this purpose, a joint distribution function of the amplitudes at two distant points in a sample is calculated analytically using the supersymmetry technique. The result shows that although in the limit of the orthogonal and unitary symmetry classes the correlations vanish, they are finite through the entire crossover regime and may be reduced only by localization effects.

UR - https://www.scopus.com/pages/publications/0000463013

M3 - Article

AN - SCOPUS:0000463013

SN - 0031-9007

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SP - 912

EP - 915

JO - Physical Review Letters

JF - Physical Review Letters

IS - 5

ER -

Long-range correlations in the wave functions of chaotic systems

Abstract

Research Highlights, Institutes and Platforms

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