Measurements on an Anderson Chain

• URL: http://arxiv.org/abs/2211.06350v1
• Date: Fri, 11 Nov 2022 16:49:05 GMT
• Title: Measurements on an Anderson Chain
• Authors: Paul P\"opperl, Igor V. Gornyi, Yuval Gefen
• Abstract summary: We study the dynamics of a monitored single particle in a one-dimensional, Anderson-localized system. We find that measurements at random positions delocalize the average position, similar to a classical random walk. 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.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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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