在量子混沌二次哈密尔顿主义者中概括热化
Patrycja Łydżba1, Marcin Mierzejewski1, Marcos Rigol2
1Institute of Theoretical Physics, Wroclaw University of Science and Technology, 50-370 Wrocław, Poland.
Physical review letters
|August 25, 2023
概括
量子系统通过平衡和匹配集体预测来实现热化. 即使可观测物处于平衡状态时,它们也可能不会在多体部门中表现出自身状态热化,因此需要概括的吉布斯整体.
科学领域:
- 量子力学就是量子力学.
- 统计力学就是统计力学.
- 凝聚物质物理学 凝聚物质物理学
背景情况:
- 量子系统中的热化需要平衡,并与像吉布斯或通用吉布斯这样的统计集团达成一致.
- 在不可集成和可集成系统中理解热化对于量子物理学至关重要.
研究的目的:
- 在量子混沌二次模型中研究可观测的行为,特别关注多体部门的热化.
- 为了确定在单粒子部门中表现出自身状态热化的可观察物是否也在多体部门中表现出这种情况.
主要方法:
- 量子混沌二次模型的分析.
- 关于可观测的平衡的数学证明.
- 在单粒子与多体部门中对自身状态热化的研究.
主要成果:
- 在单粒子领域表现出自身状态热化的可观测物在量子混沌二次模型的多体领域中确实保持平衡.
- 这些相同的可观测物在多体部门中不表现出固态热化,具有指数级的许多异常值.
- 一般来说,一般化吉布斯集合是描述平衡后的预期值所必需的.
结论:
- 在多体部门中,即使在平衡的系统中,也不能保证自身状态热化.
- 一般化的吉布斯集合,与拉格朗奇乘数依赖于单粒子能量,对于描述这些复杂量子系统中的热化是必不可少的.
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