Abstract
Most of the classical literature about synchronization phenomena in networks deals with self-sustained phase oscillators in Kuramoto-type models, or with identical nonlinear oscillators studied through the master stability formalism [1]. We instead continue focusing on synchronization during the relaxation dynamics of different linear oscillators driven out of equilibrium and exploring the key role of dissipation. A first step to characterize quantum spontaneous synchronization, considering quantum fluctuations and correlations beyond the classical limit, has been considered in Chap. 4 where synchronization between one pair of damped quantum harmonic oscillators has been reported. We have already seen that, depending on the damping, a pair of oscillators with different frequencies can exhibit synchronous evolution emerging after a transient, as well as robust (slowly decaying) non-classical correlations [2]. This connection has been extended in Chap. 5, where we showed that synchronization may occur between three oscillators or in a single pair depending on the symmetries of the system [3], discussing both transient and relaxation effects.
Published Version
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