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This study clarifies that the superradiant phase in two-photon Dicke models is not a genuine thermodynamic state but rather an artifact of finite system sizes, which vanishes as systems scale up. While spectral collapse remains robust, these findings impose critical constraints on realizing such phases for practical quantum applications and platform design. The work refines theoretical understanding by distinguishing between true phase transitions and size-dependent phenomena in light-matter interaction regimes.
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Superradiant Phase is a Finite Size Effect in Two-photon Processes

arXiv2 min read

arXiv:2601.19986v2 Announce Type: replace Abstract: Two-photon light-matter interactions exhibit distinctive features such as spectral collapse. The two-photon Dicke model has been reported to exhibit a superradiant phase which could be useful in quantum applications. Here we show that this superradiant phase is not a genuine thermodynamic phase but a finite-size effect. Combining analytical and numerical analyses, we demonstrate that the superradiant region shrinks with increasing system size and disappears in the thermodynamic limit, while spectral collapse remains. Our results clarify the nature of superradiant conditions in two-photon systems and constrain its realization in quantum platforms.

Abstract:Two-photon light-matter interactions exhibit distinctive features such as spectral collapse. The two-photon Dicke model has been reported to exhibit a superradiant phase which could be useful in quantum applications. Here we show that this superradiant phase is not a genuine thermodynamic phase but a finite-size effect. Combining analytical and numerical analyses, we demonstrate that the superradiant region shrinks with increasing system size and disappears in the thermodynamic limit, while spectral collapse remains. Our results clarify the nature of superradiant conditions in two-photon systems and constrain its realization in quantum platforms.

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

arXiv:2601.19986 [quant-ph]

(or arXiv:2601.19986v2 [quant-ph] for this version)

https://doi.org/10.48550/arXiv.2601.19986 Focus to learn more arXiv-issued DOI via DataCite

Phys. Rev. Lett. 137, 053603 (2026)

https://doi.org/10.1103/syq9-z93n Focus to learn more DOI(s) linking to related resources

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Full text under the publisher's open licence · 201 words

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