从封闭系统的相关函数中实时扩大浴室诱导的密度配置文件
Tjark Heitmann1, Jonas Richter2,3, Jacek Herbrych4
1Department of Mathematics/Computer Science/Physics, University of Osnabrück, D-49076 Osnabrück, Germany.
Physical review. E
|September 19, 2023
概括
这项研究揭示了开放量子系统动力学如何使用Lindblad主方程连接到封闭系统属性. 我们展示了林布拉德动力学与量子运输的线性响应理论之间的联系.
科学领域:
- 量子力学就是量子力学.
- 凝聚物质物理学 凝聚物质物理学
- 开放的量子系统是开放的.
背景情况:
- 林布拉德总方程是研究开放量子系统的关键工具.
- 虽然稳定状态被广泛研究,但导致它们的动态却不太了解.
- 调查不平衡动态对于一个完整的画面至关重要.
研究的目的:
- 为了探索与林布拉德浴相结合的旋链的不平衡动态.
- 分析这些系统中诱导磁化的运输特性.
- 将Lindblad方法与有限时间的线性响应理论联系起来.
主要方法:
- 使用典型性和平衡论证.
- 使用随机解技术.
- 从数值上分析旋转-1/2 XXZ 链.
主要成果:
- 证明在开放系统中的弱驱动可以从封闭系统的相关函数中构建.
- 建立了封闭式和开放式量子运输方法之间的严格协议.
- 在旋转-1/2 XXZ链的不同模式中观察到超扩散和扩散缩放.
结论:
- 这项研究为林德布拉德动力学和线性响应理论之间提供了新的联系.
- 通过自旋链的数值模拟来证实这种连接的有效性.
- 提供了对开放系统中量子传输的基本机制的见解.
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