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arXiv:2506.07580 · Chinese Physics Letters

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

Xingli Li, Yan Li, Yangqian Yan

Published Dec 31, 2025• 2 citations
arXivHTMLPDF

Abstract

Abstract 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.

DOI
10.1088/0256-307x/43/2/020302

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Abstract 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.
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Spontaneous synchronization between coupled periodic systems occur in a wealth of classical physical setups. Here, we show theoretically that the phase of two distinct quantum harmonic oscillators spontaneously synchronize when they are strongly coupled to a common bosonic quantum dissipative environment at zero temperature, in the absence of any driving mechanism. To do so, we compute the dynamics of the oscillators with an exact master equation obtained from a path integral formalism. Above some value of the system-environment coupling strength, we observe numerically a strongly reduced damping and a frequency locking in the dynamics of the oscillators. Beyond the synchronization mechanism, we also describe the rich phenomenology of the dynamics in the model and notably identify the additional emergence of a regime with long-lived oscillations.
The robustness of quantum synchronization induced by the dynamical Casimir effect (DCE) is analyzed within a circuit quantum electrodynamics (cQED) architecture consisting of two superconducting qubits coupled to a shared, parametrically driven cavity. Using a Lindblad master equation approach, this study evaluates the impact of various decoherence channels (including photon loss, relaxation, thermal excitation, and pure dephasing) on the resulting synchronization dynamics. The results demonstrate that DCE-induced synchronization persists under dissipation rates achievable in state-of-the-art superconducting platforms, confirming its experimental feasibility. Among the studied mechanisms, pure dephasing is identified as the dominant factor limiting the fidelity of the synchronized state. Furthermore, it is shown that in strongly dissipative regimes, the Pearson correlation coefficient may overestimate the degree of quantum synchronization, as environmental relaxation can generate classical correlations that mimic synchronized behavior. These findings establish the parameter regimes necessary for observing genuine DCE-induced quantum synchronization and provide practical guidelines for future cQED experiments.
Detuned systems can spontaneously achieve a synchronous dynamics and display robust quantum correlations in different local and global dissipation regimes. Beyond the Markovian limit, information backflow from the environment becomes a crucial mechanism whose interplay with spontaneous synchronization is unknown. Considering a model of two coupled qubits, one of which interacts with a dissipative environment, we show that non-Markovianity is highly detrimental for the emergence of synchronization, for the latter can be delayed and hindered because of the presence of information backflow. The results are obtained considering both a master equation approach and a collision model based on repeated interactions, which represents a very versatile tool to tailor the desired kind of environment.
Abstract We investigate the transient spontaneous quantum synchronization between two qubits interacting with a common non-Markovian environment based on a collision model. We are mainly interested in the effect of non-Markovianity on the synchronization between two qubits. We find that the non-Markovianity always delay the anti-synchronization and decrease the parameter region where the qubits get anti-synchronized. Meanwhile, we define  to characterize the visibility of synchronization and show that there is an apparent link among  , entanglement and quantum mutual information whether in the Markovian or non-Markovian regimes when the environment is in the vacuum state. Moreover, with the increase of temperature, the parameter region of the emergence of anti-synchronization and the time to get anti-synchronized in the non-Markovian regime gradually approaches that in the Markovian regime. The high temperature decreases the parameter region of the emergence of anti-synchronization in both Markovian and non-Markovian regimes, and breaks the connection among  , entanglement and quantum mutual information.