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This research identifies a novel phase of matter where active quantum systems, typically associated with biological flocking, exhibit superfluidity through the breaking of U(1) symmetry. By modeling active hard-core bosons under Lindblad dynamics, the study demonstrates that these nonequilibrium flocks can develop off-diagonal long-range order, a hallmark of quantum coherence previously unseen in such collective behaviors. These findings establish active quantum matter as a fertile ground for discovering exotic phases beyond standard equilibrium quantum physics.
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Superfluidity in active quantum flocks

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arXiv:2609.06515v1 Announce Type: cross Abstract: Active quantum matter has very recently emerged at the intersection between bio- and quantum many-body physics, combining the self-organization of living systems with the coherence of the quantum world. Active quantum systems have been shown to exhibit flocking - a collective phenomenon with no precedent in equilibrium quantum physics. In this work we uncover an unexpected layer of quantum order in active quantum flocks: they can become superfluid. We show that, in addition to the symmetry breaking associated with their directed motion, these flocks can also break an additional U(1) symmetry, giving rise to off-diagonal long-range order. For a microscopic model of active hard-core bosons governed by Lindblad dynamics, we derive an effective long-wavelength description of the single-particle density matrix and demonstrate that the flocking phase develops an instability toward off-diagonal long-range order characteristic of superfluid behavior. Our findings reveal active quantum matter as a promising research direction for discovering exotic nonequilibrium phases of quantum matter.

Abstract:Active quantum matter has very recently emerged at the intersection between bio- and quantum many-body physics, combining the self-organization of living systems with the coherence of the quantum world. Active quantum systems have been shown to exhibit flocking - a collective phenomenon with no precedent in equilibrium quantum physics. In this work we uncover an unexpected layer of quantum order in active quantum flocks: they can become superfluid. We show that, in addition to the symmetry breaking associated with their directed motion, these flocks can also break an additional U(1) symmetry, giving rise to off-diagonal long-range order. For a microscopic model of active hard-core bosons governed by Lindblad dynamics, we derive an effective long-wavelength description of the single-particle density matrix and demonstrate that the flocking phase develops an instability toward off-diagonal long-range order characteristic of superfluid behavior. Our findings reveal active quantum matter as a promising research direction for discovering exotic nonequilibrium phases of quantum matter.

Quantum Gases (cond-mat.quant-gas); Biological Physics (physics.bio-ph); Quantum Physics (quant-ph)

arXiv:2609.06515 [cond-mat.quant-gas]

(or arXiv:2609.06515v1 [cond-mat.quant-gas] for this version)

https://doi.org/10.48550/arXiv.2609.06515 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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