Quantum variance and ergodicity for the baker's map

被引：15

作者：

Esposti, MD

Nonnenmacher, S

Winn, B

机构：

[1] Univ Bologna, Dipartmento Matemat, I-40127 Bologna, Italy

[2] CEA Saclay, DSM, PhT, Unite Rech,CNRS,Serv Phys Theor, F-91191 Gif Sur Yvette, France

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2006年 / 263卷 / 02期

关键词：

D O I：

10.1007/s00220-005-1397-3

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We prove an Egorov theorem, or quantum-classical correspondence, for the quantised baker's map, valid up to the Ehrenfest time. This yields a logarithmic upper bound for the decay of the quantum variance, and, as a corollary, a quantum ergodic theorem for this map.

引用

页码：325 / 352

页数：28

共 58 条

[1] Quantum dynamical entropy and decoherence rate [J].

Alicki, R ;

Lozinski, A ;

Pakonski, P ;

Zyczkowski, K .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2004, 37 (19) :5157-5172

[2]

Arnold V. I., 1967, PROBLEMES ERGODIQUES

[3] Rate of quantum ergodicity in Euclidean billiards (vol 57, pg 5425, 1998) [J].

Backer, A ;

Schubert, R ;

Stifter, P .

PHYSICAL REVIEW E, 1998, 58 (04) :5192-5192

[4] Rate of quantum ergodicity in Euclidean billiards [J].

Backer, A ;

Schubert, R ;

Stifter, P .

PHYSICAL REVIEW E, 1998, 57 (05) :5425-5447

[5] THE QUANTIZED BAKERS TRANSFORMATION [J].

BALAZS, NL ;

VOROS, A .

ANNALS OF PHYSICS, 1989, 190 (01) :1-31

[6]

Bambusi D, 1999, ASYMPTOTIC ANAL, V21, P149

[7]

BARNETT A, 2004, UNPUB COMM PURE APPL

[8]

Bonechi F, 2000, COMMUN MATH PHYS, V211, P659, DOI 10.1007/s002200050831

[9]

Boulkhemair A, 1999, J FUNCT ANAL, V165, P173, DOI 10.1006/jfan:1999.3423

[10]

Bouzouina A, 2002, DUKE MATH J, V111, P223

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