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This paper advances fundamental understanding of many-body coherence by establishing scaling theories for Dicke superradiance under local dephasing and spontaneous emission. It identifies distinct regimes where collective $N^2$ intensity scaling persists or breaks down, revealing a continuous phase transition at the boundary between fully and partially collective behaviors. These insights are critical for optimizing quantum light sources and managing decoherence in large-scale emitter arrays.
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Scaling theory of decoherence in Dicke superradiance

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arXiv:2607.28034v1 Announce Type: new Abstract: The survival of many-body coherence depends on the competition between correlation buildup and decoherence. In Dicke superradiance, collective emission builds up correlations, producing a peak intensity scaling as $N^2$ for $N$ emitters. We develop a scaling theory including local dephasing and spontaneous emission and obtain fully collective, partially collective, and independent-emitter scaling regimes. The boundary of the fully collective regime defines a continuous phase transition in a transient observable. Local decoherence can prevent $N^2$ scaling despite increasing $N$.

Abstract:The survival of many-body coherence depends on the competition between correlation buildup and decoherence. In Dicke superradiance, collective emission builds up correlations, producing a peak intensity scaling as $N^2$ for $N$ emitters. We develop a scaling theory including local dephasing and spontaneous emission and obtain fully collective, partially collective, and independent-emitter scaling regimes. The boundary of the fully collective regime defines a continuous phase transition in a transient observable. Local decoherence can prevent $N^2$ scaling despite increasing $N$.

Quantum Physics (quant-ph); Statistical Mechanics (cond-mat.stat-mech); Optics (physics.optics)

arXiv:2607.28034 [quant-ph]

(or arXiv:2607.28034v1 [quant-ph] for this version)

https://doi.org/10.48550/arXiv.2607.28034 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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