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arXiv · 2211.06350

Measurements on an Anderson Chain

Paul Pöpperl·Igor V. Gornyi·Yuval Gefen
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Abstract

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.

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Paul Pöpperl, Igor V. Gornyi, Yuval Gefen. 2023-02-25. Measurements on an Anderson Chain. https://doi.org/10.1103/physrevb.107.174203

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