Signatures of Environment-Induced Quantum Synchronization Transitions via Two-body Dissipator Engineering

Metronome synchronization and the transition between the in-phase and anti-phase synchronization have been observed in classical systems. We demonstrate the quantum analog of this phenomenon in a two-qubit system coupled to a common environment. Tracing out the environment in the quantum collision model, we obtain an effective master equation with a two-body dissipator for two qubits. Quenching the two-body dissipator, we demonstrate controlled transitions from in-phase to anti-phase synchronization. This synchronization transition is robust against noise. Signatures of the transition are observed through Pearson correlation coefficient measurements obtained via quantum simulations on superconducting circuits. Future experiments employing qutrit systems are expected to yield a more pronounced effect.