检测来自费舍尔零号的多体痕
Yuchen Meng1, Songtai Lv1, Yang Liu1
1East China Normal University, Key Laboratory of Polar Materials and Devices (MOE), School of Physics and Electronic Science, Shanghai 200241, China.
Physical review letters
|September 10, 2025
概括
研究人员介绍了一种新方法,用于检测复杂温度平面中的费舍尔零数的量子多体痕 (QMBS). 这种方法有助于理解那些挑战热化的系统,并将QMBS与其他形性破坏现象区分开来.
科学领域:
- 量子物理学的量子物理学
- 统计力学就是统计力学.
- 凝聚物质理论 凝聚物质理论
背景情况:
- 在相互作用的量子系统中理解远离平衡的动力学仍然具有挑战性.
- 量子多体痕 (QMBS) 是特殊的固有状态,可以逃避热化,表现出长期存在的振荡.
- 现有的研究QMBS (对称性,代数,准粒子) 的方法在解释它们的潜在机制和区分它们与其他破坏ergodicity现象方面存在局限性.
研究的目的:
- 引入一种用于检测和诊断QMBS的新方法.
- 为了解QMBS的机制提供一个框架,并将其与其他形式的ergodicity破坏区分开来.
- 将QMBS现象与热和动态相变的更广泛概念联系起来.
主要方法:
- 引入了一种基于费舍尔零的新方法,这些零是复杂的逆温度 (β) 平面中的分析连续分区函数的零.
- 将复杂分区函数解释为热场双态的返回幅度.
- 通过分析展示QMBS的两个模型来验证该方法:P[over ̄]XP[over ̄]模型和外部场中的Ising链.
主要成果:
- 证明具有 QMBS 的系统在虚拟 β 轴上呈现出一条连续的费舍尔零线,将具有不同热化行为的区域分开.
- 通过分析它们在复杂β平面上的独特的重规范化群流,展示了这种方法区分QMBS和强烈的ergodicity断裂的能力.
- 证实费舍尔零方法可以识别QMBS而不需要详细检查单个量子状态.
结论:
- 费舍尔零提供了一个有效的统计力学方法来检测和诊断QMBS.
- 这种方法将QMBS与热和动态相位过渡的研究统一起来.
- 复杂的β平面分析提供了一个强大的工具,用于理解量子动力学和ergodicity破坏.
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