在混乱的多体量子系统中充电的完整计数统计数据
Ewan McCulloch1,2, Jacopo De Nardis3, Sarang Gopalakrishnan2
1Department of Physics, University of Massachusetts, Amherst, Massachusetts 01003, USA.
Physical review letters
|December 10, 2023
概括
我们研究了随机单元电路中的电荷传输波动. 电荷转移波动在很长一段时间内模仿古典系统,有微小的量子校正,揭示了量子系统动态的洞察力.
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:
- 了解量子系统中的电荷传输对于开发量子技术至关重要.
- 随机单元电路为研究复杂量子力学提供了一个强大的框架.
- 完整的计数统计提供了对电荷转移波动的详细探测.
研究的目的:
- 为了调查U(1) - 对称随机单元电路中电荷传输的完整计数统计数据.
- 分析具有初始化学电位不平衡的系统中的电荷转移波动.
- 探索量子运输和经典随机过程之间的联系.
主要方法:
- 采用一个有效的复制统计力学模型.
- 将量子电路映射到一个新兴的经典随机过程中.
- 使用矩阵产品状态计算进行验证.
主要成果:
- 随机单元电路中的电荷转移波动在长时间内接近对称排除过程中的电荷转移波动.
- 确定了子标题 $t^{-1/2}$ 量子校正用于电荷转移波动.
- 新兴的经典随机过程对于大型现场希尔伯特空间维度是有效的.
结论:
- 在这些电路中的量子电荷传输在很长一段时间内表现出类似经典的行为.
- 这些发现将量子力学与经典的不平衡统计力学联系起来.
- 该研究提供了量子电路中电荷传输的理论框架和计算验证.
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