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Bibliographic Details
Main Authors: Mohile, Pushkar, Goldbart, Paul M.
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2507.23085
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author Mohile, Pushkar
Goldbart, Paul M.
author_facet Mohile, Pushkar
Goldbart, Paul M.
contents Proximity measurements probe whether pairs of particles are close to one another. We consider the impact of post-selected random proximity measurements on a quantum fluid of many distinguishable particles. We show that such measurements induce random spatial localization of a fraction of the particles, and yet preserve homogeneity macroscopically. Eventually, all particles localize, with a distribution of localization lengths that saturates at a scale controlled by the typical measurement rate. The steady-state distribution of these lengths is governed by a familiar scaling form.
format Preprint
id arxiv_https___arxiv_org_abs_2507_23085
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Proximity-measurement induced random localization in quantum fluids
Mohile, Pushkar
Goldbart, Paul M.
Quantum Physics
Disordered Systems and Neural Networks
Statistical Mechanics
Proximity measurements probe whether pairs of particles are close to one another. We consider the impact of post-selected random proximity measurements on a quantum fluid of many distinguishable particles. We show that such measurements induce random spatial localization of a fraction of the particles, and yet preserve homogeneity macroscopically. Eventually, all particles localize, with a distribution of localization lengths that saturates at a scale controlled by the typical measurement rate. The steady-state distribution of these lengths is governed by a familiar scaling form.
title Proximity-measurement induced random localization in quantum fluids
topic Quantum Physics
Disordered Systems and Neural Networks
Statistical Mechanics
url https://arxiv.org/abs/2507.23085