Quantum Vicsek Model for Active Matter Article Swipe

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Hong Chun Yuan , Lixin Cui , Larry Chen , Che Sun ·

YOU? · · 2024 · Open Access · · DOI: https://doi.org/10.48550/arxiv.2407.09860

We propose a quantum analog of the Vicsek model, consisting of an ensemble of overdamped spin$-1/2$ particles with ferromagnetic couplings, driven by a uniformly polarized magnetic field. The spontaneous magnetization of the spin components breaks the $SO(3)$ (or $SO(2)$) symmetry, inducing an ordered phase of flocking. We derive the hydrodynamic equations, similar to those formulated by Toner and Tu, by applying a mean-field approximation to the quantum analog model up to the next leading order. Our investigation not only establishes a microscopic connection between the Vicsek model and the Toner-Tu hydrodynamics for active matter, but also aims to inspire further studies of active matter in the quantum regime.

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Active matter Quantum Physics Computer science Quantum mechanics Biology Cell biology

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Type: preprint
Language: en
Landing Page: http://arxiv.org/abs/2407.09860
PDF: https://arxiv.org/pdf/2407.09860
OA Status: green
Related Works: 10
OpenAlex ID: https://openalex.org/W4400702953

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OpenAlex ID: https://openalex.org/W4400702953

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DOI: https://doi.org/10.48550/arxiv.2407.09860

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Title: Quantum Vicsek Model for Active Matter

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Type: preprint

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Language: en

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Publication year: 2024

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Publication date: 2024-07-13

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Authors: Hong Chun Yuan, Lixin Cui, Larry Chen, Che Sun

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Landing page: https://arxiv.org/abs/2407.09860

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PDF URL: https://arxiv.org/pdf/2407.09860

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Open access: Yes

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OA URL: https://arxiv.org/pdf/2407.09860

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Concepts: Active matter, Quantum, Physics, Computer science, Quantum mechanics, Biology, Cell biology

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Cited by: 0

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Related works (count): 10

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