Time Scales in the Approach to Equilibrium of Macroscopic Quantum Systems

被引：71

作者：

Goldstein, Sheldon ^{[1
,2
]}

Hara, Takashi ^{[3
]}

Tasaki, Hal ^{[4
]}

机构：

[1] Rutgers State Univ, Dept Math, Piscataway, NJ 08854 USA

[2] Rutgers State Univ, Dept Phys, Piscataway, NJ 08854 USA

[3] Kyushu Univ, Fac Math, Nishi Ku, Fukuoka 8190395, Japan

[4] Gakushuin Univ, Dept Phys, Toshima Ku, Tokyo 1718588, Japan

来源：

PHYSICAL REVIEW LETTERS | 2013年 / 111卷 / 14期

关键词：

MECHANICS;

D O I：

10.1103/PhysRevLett.111.140401

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We prove two theorems concerning the time evolution in general isolated quantum systems. The theorems are relevant to the issue of the time scale in the approach to equilibrium. The first theorem shows that there can be pathological situations in which the relaxation takes an extraordinarily long time, while the second theorem shows that one can always choose an equilibrium subspace, the relaxation to which requires only a short time for any initial state.

引用

页数：5

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