论文标题
安德森连锁店的测量
Measurements on an Anderson Chain
论文作者
论文摘要
我们研究一维，安德森 - 定位系统中受监测的单个粒子的动力学。时间演化受哈密顿动力学的固定时间间隔的约束，并被当地的投射测量中断。无序诱导的定位与测量引起的跳跃之间的竞争导致读出平均数量的有趣行为。我们发现，在随机位置的测量值将平均位置定位，类似于经典的随机步行。沿着每个量子轨迹，粒子保持定位，但是定位长度进行了修改。与测量诱导的离域化相反，可以使用受控测量值在系统中引入传输并将粒子定位在所选位点。从这个意义上讲，测量值为粒子提供了受控的环境。
We study the dynamics of a monitored single particle in a one-dimensional, Anderson-localized system. The time evolution is governed by Hamiltonian dynamics for fixed time intervals, interrupted by local, projective measurements. The competition between disorder-induced localization and measurement-induced jumps leads to interesting behaviour of readout-averaged quantities. We find that measurements at random positions delocalize the average position, similar to a classical random walk. Along each quantum trajectory, the particle remains localized, however with a modified localization length. In contrast to measurement-induced delocalization, controlled measurements can be used to introduce transport in the system and localize the particle at a chosen site. In this sense, the measurements provide a controlled environment for the particle.
