论文标题
采取量子热化过程的快照:量子跳跃轨迹中的新兴经典性
Taking snapshots of a quantum thermalization process: emergent classicality in quantum jump trajectories
论文作者
论文摘要
从理论上讲,我们在有限的量子系统中研究了经典统计物理学的出现,该系统完全隔离或经过量子测量过程。我们通过随机矩阵理论方法来显示不可整合的量子系统,表明宏观可观察到的宏观可观察到的结果如随机变量,它们的方差满足了著名的布朗人扩散的爱因斯坦关系。我们的结果表明,如何将特征态热化的框架扩展到预测量子测量在其他封闭的量子系统上的性质。我们以数字显示量子链模型中随机矩阵方法的有效性。
We investigate theoretically the emergence of classical statistical physics in a finite quantum system that is either totally isolated or otherwise subjected to a quantum measurement process. We show via a random matrix theory approach to nonintegrable quantum systems that the set of outcomes of the measurement of a macroscopic observable evolve in time like stochastic variables, whose variance satisfies the celebrated Einstein relation for Brownian diffusion. Our results show how to extend the framework of eigenstate thermalization to the prediction of properties of quantum measurements on an otherwise closed quantum system. We show numerically the validity of the random matrix approach in quantum chain models.