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arXiv · 2607.12044

Dissipative phase transitions and chaos in two-photon driven quantum optomechanics

Giovanni Bragadin·Filippo Ferrari·Lorenzo Fioroni·Matteo Seclì·Vincenzo Macrì·Vincenzo Savona·Alberto Mercurio
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Abstract

We investigate nonequilibrium criticality and chaos in a two-photon-driven optomechanical system. The parametric drive preserves a discrete $\mathbb{Z}_2$ symmetry of the optical field, while radiation-pressure coupling transfers the resulting nonlinear dynamics to a mechanical oscillator. Combining semiclassical stability analysis, exact Liouvillian spectra, and stochastic quantum trajectories, we show that this driven-dissipative optomechanical model supports both first- and second-order dissipative phase transitions. At negative detuning a second-order transition yields spontaneous breaking of the cavity-parity symmetry in the thermodynamic limit. At positive detuning the same symmetry breaking coexists with a first-order transition, signaled by metastability and by an additional symmetric Liouvillian mode. At stronger pump power the mean-field dynamics loses all stable fixed points and develops limit cycles and chaotic attractors with positive Lyapunov exponent. Quantum trajectories in this regime display chaotic-like motion, enhanced steady-state entropy, and delocalization over many entropic Liouvillian modes. These results establish two-photon-driven optomechanics as a platform where dissipative criticality, symmetry breaking, and quantum signatures of chaos emerge within the same experimentally accessible setting.

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Giovanni Bragadin, Filippo Ferrari, Lorenzo Fioroni, Matteo Seclì, Vincenzo Macrì, Vincenzo Savona, Alberto Mercurio. 2026-07-13. Dissipative phase transitions and chaos in two-photon driven quantum optomechanics. https://arxiv.org/abs/2607.12044

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