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arXiv · 2302.01656

First-detection-time statistics in many-body quantum transport

Christoph Dittel·Niklas Neubrand·Felix Thiel·Andreas Buchleitner
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Abstract

We study the transport of many partially distinguishable and possibly interacting particles under the action of repeated projective measurements on a target space and investigate how the particles' interference affects the mean first detection time. We contrast the detection of exactly $n$ versus at least $n$ particles, explain divergences in the mean first detection time through spectral properties of the generating evolution operator, and illustrate our findings by an example.

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Christoph Dittel, Niklas Neubrand, Felix Thiel, Andreas Buchleitner. 2023-02-03. First-detection-time statistics in many-body quantum transport. https://doi.org/10.1103/physreva.107.052206

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