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

• URL: http://arxiv.org/abs/2607.12044v1
• Date: Mon, 13 Jul 2026 18:01:15 GMT
• Title: Dissipative phase transitions and chaos in two-photon driven quantum optomechanics
• Abstract summary: We study nonequilibrium criticality and chaos in a two-photon-driven optomechanical system.<n>Quantum trajectories in this regime display chaotic-like motion, enhanced steady-state entropy, and delocalization over many entropic Liouvillian modes.
• Score: 0.06245835455390699
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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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