时间-局部非囊主方程的量子轨迹
Tobias Becker1, Ché Netzer1, André Eckardt1
1Institut für Theoretische Physik, Technische Universität Berlin, Hardenbergstrasse 36, 10623 Berlin, Germany.
Physical review letters
|November 5, 2023
概括
本研究介绍了伪林德布拉德量子轨迹 (PLQT) 解,用于模拟超出弱合的开放量子系统. 对于非戈里尼-科萨科夫斯基-苏达尔珊-林德布拉德动态,PLQT克服了蒙特卡洛波函数方法的局限性.
科学领域:
- 量子物理学的量子物理学
- 计算物理学的计算物理.
- 量子信息科学是一种量子信息科学.
背景情况:
- 开放量子系统的高效模拟至关重要.
- 蒙特卡洛波函数方法是使用戈里尼-科萨科夫斯基-苏达尔珊-林德布拉德方程的马科维动力学标准.
- 由于标准方法的局限性,非马科夫动态或强合需要替代方法.
研究的目的:
- 开发一种新的方法来模拟超越马科夫制度的开放量子系统.
- 在处理非戈里尼-科萨科夫斯基-苏达尔珊-林德布拉德动态时,克服现有的量子轨迹方法的局限性,例如由雷德菲尔德方程描述的.
- 引入一种计算效率高的方法,不需要状态空间扩展.
主要方法:
- 提出了一个伪林德布拉德量子轨迹 (PLQT) 解方法.
- PLQT处理由伪林德布拉德形式描述的动态,包括从雷德菲尔德方程中产生的动态.
- 该方法只需要添加单个经典位,避免复杂的状态空间扩展.
主要成果:
- 证明了PLQT对模拟永恒非马科夫主方程的有效性.
- 在单个量子位系统和与热浴相连的相互作用费米-哈伯德链上测试了PLQT.
- 与解决完整的主方程相比,分析了PLQT的计算成本.
结论:
- 伪林德布拉德量子轨迹解是一种可行且高效的方法,用于模拟具有非马科夫动态的开放量子系统.
- 在出现负消散强度时,PLQT在传统方法上提供了显著的优势.
- 这种方法在计算上是可行的,并且适用于复杂的量子系统.
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