PT-对称,非赫密斯量子多体物理学-一个方法论的视角
V Meden1, L Grunwald1,2, D M Kennes1,2
1Institut für Theorie der Statistischen Physik, RWTH Aachen University, 52056 Aachen, Germany.
Reports on progress in physics. Physical Society (Great Britain)
|October 23, 2023
概括
这篇评论主张对平价时间 (PT) - 对称的非赫米特量子多体系统采用赫米特的方法. 虽然PT-对称方法提供了数学优雅,但赫米特式方法产生了物理上有意义的结果,并与实验数据保持一致.
科学领域:
- 量子多体物理学 量子多体物理学
- 非赫尔密斯式量子力学 量子力学
- 凝聚物质物理学 凝聚物质物理学
背景情况:
- 同等时间 (PT) -对称,非赫密斯量子系统表现出独特的特性,与通用开放系统不同.
- 开放量子系统的传统研究依赖于隐秘性,而数学物理学则引入了PT-对称和双角形态.
- 在赫米蒂安和PT对称方法之间存在关于可观测的差异,预期值和统计组合.
研究的目的:
- 审查和协调理论上处理PT对称的非赫米特量子多体系统的方法.
- 倡导赫尔米斯观点,特别是ancilla方法,用于分析这些系统.
- 突出赫密斯方法的物理解释性和实验相关性.
主要方法:
- 对现有的理论方法进行全面的审查,包括伪隐秘主义.
- 详细检查 ancilla 方法,在没有近似的情况下将非赫密斯系统嵌入到更大的赫密斯系统中.
- 对模型哈密尔顿的分析,使用赫米蒂和PT对称/双角框架进行比较.
主要成果:
- 赫米蒂斯的方法,尽管潜在的拙,始终产生物理上有意义的结果.
- 赫米蒂安方法与PT对称系统的现有实验数据一致.
- 虽然在数学上很优雅,但PT-对称和双角方法可能会导致不清楚物理解释的结果.
结论:
- 由于其物理可解释性和实验一致性,建议使用赫米蒂安方法来治疗PT对称的非赫米蒂安量子多体系统.
- 了解PT对称和生物对角概念对于完全理解这些系统至关重要.
- 已建立的多体方法,如绿色函数和函数积分,需要重新评估,以便应用于PT对称的非赫米特系统.
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