Quantum chaos in terms of entropy for a periodically kicked top

被引：35

作者：

Alicki, R

Makowiec, D

Miklaszewski, W

机构：

[1] Institute of Theoretical Physics and Astrophysics, University of Gdańsk, Gdańsk, PL 80-952

来源：

PHYSICAL REVIEW LETTERS | 1996年 / 77卷 / 05期

关键词：

D O I：

10.1103/PhysRevLett.77.838

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A recently developed approach to the quantum dynamical entropy for classical and infinite quantum dynamical systems involving von Neumann entropy for multitime correlation matrices is adapted to finite quantum systems and implemented numerically for a periodically kicked top. Significant quantitative differences between chaotic and regular regime are observed.

引用

页码：838 / 841

页数：4

共 19 条

[1] An algebraic approach to the Kolmogorov-Sinai entropy [J].

Alicki, R ;

Andries, J ;

Fannes, M ;

Tuyls, P .

REVIEWS IN MATHEMATICAL PHYSICS, 1996, 8 (02) :167-184

[2] COMPARISON OF DYNAMICAL ENTROPIES FOR THE NONCOMMUTATIVE SHIFTS [J].

ALICKI, R ;

NARNHOFER, H .

LETTERS IN MATHEMATICAL PHYSICS, 1995, 33 (03) :241-247

[3]

ALICKI R, 1994, LETT MATH PHYS, V32, P241

[4] THE DYNAMICAL ENTROPY OF THE QUANTUM ARNOLD CAT MAP [J].

ANDRIES, J ;

FANNES, M ;

TUYLS, P ;

ALICKI, R .

LETTERS IN MATHEMATICAL PHYSICS, 1995, 35 (04) :375-383

[5]

ARAKI H, 1970, COMMUN MATH PHYS, V18, P171

[6] SYMBOLIC DYNAMICS OF SUCCESSIVE QUANTUM-MECHANICAL MEASUREMENTS [J].

BECK, C ;

GRAUDENZ, D .

PHYSICAL REVIEW A, 1992, 46 (10) :6265-6276

[7] ENTROPY OF SYMBOLIC SEQUENCES - THE ROLE OF CORRELATIONS [J].

EBELING, W ;

NICOLIS, G .

EUROPHYSICS LETTERS, 1991, 14 (03) :191-196

[8] TOWARD A QUANTITATIVE THEORY OF SELF-GENERATED COMPLEXITY [J].

GRASSBERGER, P .

INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 1986, 25 (09) :907-938

[9]

Gutzwiller MC, 1990, CHAOS CLASSICAL QUAN

[10]

Haake F., 1987, Zeitschrift fur Physik B (Condensed Matter), V65, P381, DOI 10.1007/BF01303727

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