We study the effects of anisotropic counterrotating interactions in two coupled self-sustained quantum oscillators. Counterrotating coupling explicitly breaks the continuous $\mathrm{U}\left(1\right)$ symmetry of the system, driving a symmetry-breaking bifurcation of the quantum limit cycle into an oscillation death steady state in the Wigner function. By analyzing the power spectrum and relative-phase distribution, we show that this anisotropy suppresses bistable phase locking through the decomposition of dressed-state hybridization. For detuned oscillators, symmetry breaking produces mode-dependent oscillation death configurations and intermediate states absent in the identical case. While counterrotating interactions alone do not induce synchronization, their interplay with weak coherent exchange can reshape phase-locking dynamics. We further show that strong nonlinear damping destabilizes counterrotation-induced oscillation death and restores oscillatory dynamics via a noise-mediated quantum revival. Our results establish counterrotating interactions as a powerful control mechanism in quantum oscillators.

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• Synchronization
• Collective dynamics
• Phase space methods