Metastable quantum entrainment

Quantum van der Pol oscillators are driven-dissipative systems displaying quantum synchronization phenomena. When forced by a squeezed drive, the frequency adjusts to half of forcing multiple preferred phases. Here we analyze physical origin this entrained response, establishing connection with metastability in open systems. We report dynamical regime characterized huge separation time scales, which mode displays lifetime that can be orders magnitude larger than rest. In regime, long-time dynamics is captured an incoherent process between two metastable states, correspond phases synchronized oscillator. fact, show entrainment here fluctuations driving phases, ultimately limits its temporal coherence when moving into regime. Finally, discuss connections phenomena dissipative phase transitions and transient