抄録
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.
元の言語 | 英語 |
---|---|
記事番号 | 140401 |
ジャーナル | Physical Review Letters |
巻 | 111 |
発行部数 | 14 |
DOI | |
出版物ステータス | 出版済み - 10 1 2013 |
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All Science Journal Classification (ASJC) codes
- Physics and Astronomy(all)
これを引用
Time scales in the approach to equilibrium of macroscopic quantum systems. / Goldstein, Sheldon; Hara, Takashi; Tasaki, Hal.
:: Physical Review Letters, 巻 111, 番号 14, 140401, 01.10.2013.研究成果: ジャーナルへの寄稿 › 記事
}
TY - JOUR
T1 - Time scales in the approach to equilibrium of macroscopic quantum systems
AU - Goldstein, Sheldon
AU - Hara, Takashi
AU - Tasaki, Hal
PY - 2013/10/1
Y1 - 2013/10/1
N2 - 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.
AB - 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.
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UR - http://www.scopus.com/inward/citedby.url?scp=84884996538&partnerID=8YFLogxK
U2 - 10.1103/PhysRevLett.111.140401
DO - 10.1103/PhysRevLett.111.140401
M3 - Article
AN - SCOPUS:84884996538
VL - 111
JO - Physical Review Letters
JF - Physical Review Letters
SN - 0031-9007
IS - 14
M1 - 140401
ER -