在格子尺理论中的非平衡过程的量子热力学
Zohreh Davoudi1,2,3,4, Christopher Jarzynski1,4,5,6, Niklas Mueller7
1Department of Physics, <a href="https://ror.org/047s2c258">University of Maryland</a>, College Park, Maryland 20742, USA.
Physical review letters
|January 3, 2025
概括
这项研究定义了热力学量,如工作和热量,用于晶格尺理论的量子模拟,克服了经典计算的限制. 这些定义揭示了不平衡量子系统中的相位过渡,进步了量子热力学.
科学领域:
- 核和高能物理学的核和高能物理.
- 量子热力学就是量子热力学.
- 量子信息科学是一种量子信息科学.
背景情况:
- 描述物质的不平衡动力学对于理解早期宇宙和粒子碰撞至关重要.
- 经典格子尺理论模拟面临由于复杂的希尔伯特空间结构和局部约束 (高斯定律) 的计算限制.
- 量子模拟提供了一种有希望的方法来克服这些计算障碍.
研究的目的:
- 为了定义热力学量 (工作,热量) 的格子尺度理论与平衡和不平衡过程中的储库相结合.
- 开发一个适用于量子模拟器中瞬间火的框架.
- 探索纠哈密尔顿和平均力哈密尔顿之间的关系.
主要方法:
- 利用强合热力学,这是量子热力学的一个最新框架.
- 应用框架来定义瞬时火的工作和热量.
- 导出纠哈密尔顿数和一般热态的平均力哈密尔顿数之间的关系.
主要成果:
- 成功定义了量子系统中不平衡过程的工作和热量.
- 在Z_{2}格子尺度理论中,通过计算灭过程中的工作和热量来证明框架的应用.
- 观察到的热力学量证明了相变作为灭参数的函数.
结论:
- 拟议的框架提供了一种方法来定义和计算热力学量在晶格尺度理论的量子模拟.
- 这项工作将量子信息处理工具和量子热力学联系起来,用于研究复杂的量子系统.
- 这些发现有助于研究不平衡量子多体系统中的相变.
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