Symmetry-Protected Quantum Synchronization in Squeezed-Bath-Engineered Superradiance
Abstract
A squeezed dissipative bath converts the coupling phase of a bipartite unconventional Dicke model into a control parameter that suppresses both static superradiant thresholds, opening a window where only a Hopf instability survives and the two spin ensembles synchronize completely via the shared cavity mode. The squeezed bath preserves a Z2 parity symmetry, so conventional broken-symmetry diagnostics vanish identically. We certify the synchronized state instead through parity-even, information-theoretic witnesses: a 30\% photon-number suppression, a Husimi-Q lobe-count change, a 64\% suppression of spin--spin mutual information, and a robust discord-to-mutual-information ratio D/I = 0.50 0.05, confirmed by full quantum master-equation simulations. These results establish parity-even witnesses as a general, entanglement-free route to certifying quantum synchronization in symmetry-protected driven-dissipative systems.
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