Proximity-measurement induced random localization in quantum fluids

• URL: http://arxiv.org/abs/2507.23085v1
• Date: Wed, 30 Jul 2025 20:38:46 GMT
• Title: Proximity-measurement induced random localization in quantum fluids
• Authors: Pushkar Mohile, Paul M. Goldbart,
• Abstract summary: We consider the impact of post-selected random proximity measurements on a quantum fluid of many distinguishable particles.<n>We show that such measurements induce random spatial localization of a fraction of the particles, and yet preserve macroscopically.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: 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.

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