The Kerr-Induced Superradiant Tricritical Point

• URL: http://arxiv.org/abs/2509.04530v1
• Date: Wed, 03 Sep 2025 20:36:40 GMT
• Title: The Kerr-Induced Superradiant Tricritical Point
• Authors: Arash Azizi, Reed Nessler,
• Abstract summary: We prove that genuine tricriticality is an isolated phenomenon, emerging only at a single, mathematically exact dissipation rate.<n>Our discovery pinpoints the precise and restrictive conditions for realizing a rare multicritical point in a foundational quantum optical system.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: The interplay of interaction and dissipation in open quantum systems can forge phase transitions beyond conventional paradigms. In the canonical quantum Rabi model, we demonstrate that a photon-photon (Kerr) interaction transforms the celebrated superradiant phase transition, inducing a line that separates continuous, second-order behavior from discontinuous, first-order regimes. Strikingly, this is not a line of tricritical points. Instead, we prove that genuine tricriticality is an isolated phenomenon, emerging only at a single, mathematically exact dissipation rate: the ``sweet spot'' of $\kappa_t^2 = (\sqrt{13}-2)/3$. Our discovery pinpoints the precise and restrictive conditions for realizing a rare multicritical point in a foundational quantum optical system, identifying this critical dissipation as a unique gateway to a higher order of criticality.

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