Abstract M.A. Lohe first proposed the high-dimensional Kuramoto model with symmetry-breaking terms (Quantum synchronization over quantum networks, Journal of Physics A: Mathematical and Theoretical, 43:465301, 2010), which is the real form of a quantum network synchronization model. Forthe homogeneous case, by analyzing the limit set and the spectrum of the linearized model, thealmost global synchronization is derived from the topology of some kind of connecting graphs.
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Liu et al. (2024) studied this question.
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