随机运算符方差:一个可观察到的诊断噪声和杂乱
Pablo Martinez-Azcona1, Aritra Kundu1, Adolfo Del Campo1,2
1Department of Physics and Materials Science, University of Luxembourg, L-1511 Luxembourg.
Physical review letters
|November 5, 2023
概括
我们引入了随机运算子方差 (SOV) 来测量量子系统在噪声下的扩散. 这个可观测的连接到量子Lyapunov指数,并有助于找到初始状态,最大限度地减少轨迹分歧.
科学领域:
- 量子力学就是量子力学.
- 统计物理学的统计物理.
- 量子信息科学是一种量子信息科学.
背景情况:
- 噪音是自然量子系统固有的.
- 描述噪声效应对于理解量子力学至关重要.
- 波动的哈密尔顿主义者在量子状态进化中提出了挑战.
研究的目的:
- 引入一个新的可观测值,即随机操作员方差 (SOV),以量化量子轨迹在噪声下的传播.
- 确定SOV的不确定性关系.
- 确定最小化轨迹传播的初始状态.
- 探索SOV动态和时间外顺序相关系数 (OTOC) 之间的联系.
主要方法:
- 随机操作员方差 (SOV) 的定义和分析.
- 导出涉及SOV的不确定性关系.
- 针对特定量子模型的分析和数值计算.
- 调查SOV与时间外顺序相关系数 (OTOC) 之间的联系.
主要成果:
- SOV测量了随机量子轨迹的传播.
- SOV满足了一个不确定性关系.
- SOV动态与时间外顺序相关系数 (OTOC) 直接相关.
- 量子利亚普诺夫指数 (λ) 与SOV动态有关.
- 确定了最小化轨迹传播的初始状态.
结论:
- 随机运算符方差 (SOV) 提供了一个强大的工具,用于分析波动的哈密尔顿数的量子系统.
- SOV动态通过它们与OTOC和量子利亚普诺夫指数的连接提供了对量子混乱和热化的洞察.
- 这些发现被证明在Lipkin-Meshkov-Glick系统中能量脱相的范式模型中.
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