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    Quantum Criticality from Spectral Collapse in the Two-Photon Rabi Model

    Jiong Li1, Jun-Ling Wang2, Qing-Hu Chen2,1,*, and Hai-Qing Lin1,†

    • 1Institute for Advanced Study in Physics and School of Physics, Zhejiang University, Hangzhou 310058, China
    • 2Zhejiang Key Laboratory of Micro-Nano Quantum Chips and Quantum Control, School of Physics, Zhejiang University, Hangzhou 310058, China

    • *Contact author: qhchen@zju.edu.cn
    • †Contact author: hqlin@zju.edu.cn

    Phys. Rev. Lett. 137, 123602 – Published 16 September, 2026

    DOI: https://doi.org/10.1103/ctp9-k77q

    Abstract

    Spectral collapse in the two-photon quantum Rabi model (tpQRM) has long been regarded as insufficient to establish quantum criticality because, under generic conditions, the lowest excitation gap remains finite. We show that, at a special qubit frequency, spectral collapse in the anisotropic tpQRM constitutes a continuous quantum phase transition governed by a single soft mode. The same-parity gap, set by the vanishing effective oscillator frequency, closes with exponent zν=1/2, whereas the lower different-parity gap arises from symmetry-induced splitting. Parity symmetry excludes the different-parity excitation from the quantum Fisher information response and restricts Kibble-Zurek dynamics to excitations within the ground-state parity sector. Together, these results identify the same-parity excitation as the soft mode and its gap as the characteristic energy scale. The corresponding critical exponents, ν=1/4 and z=2, place the anisotropic tpQRM in the same universality class as the standard quantum Rabi model. Our results establish spectral collapse as a potential route to experimentally accessible quantum criticality in a few-body system and show that universality is determined by the soft-mode structure rather than by the closing of the lowest excitation gap.

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