期刊
PHYSICAL REVIEW LETTERS
卷 107, 期 1, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.107.010403
关键词
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资金
- COQUIT under FET [2333747]
- Oakley Fellowship
- NSF [PHY-803304, PHY-0969969, DMR-0804914]
- Direct For Mathematical & Physical Scien
- Division Of Materials Research [804914] Funding Source: National Science Foundation
- Direct For Mathematical & Physical Scien
- Division Of Physics [803304] Funding Source: National Science Foundation
- Direct For Mathematical & Physical Scien
- Division Of Physics [969969] Funding Source: National Science Foundation
The equilibration dynamics of a closed quantum system is encoded in the long-time distribution function of generic observables. In this Letter we consider the Loschmidt echo generalized to finite temperature, and show that we can obtain an exact expression for its long-time distribution for a closed system described by a quantum XY chain following a sudden quench. In the thermodynamic limit the logarithm of the Loschmidt echo becomes normally distributed, whereas for small quenches in the opposite, quasicritical regime, the distribution function acquires a universal double-peaked form indicating poor equilibration. These findings, obtained by a central limit theorem-type result, extend to completely general models in the small-quench regime.
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