Abstract
We present a generalized information-theoretic measure of synchronization in quantum systems. This measure is applicable to dynamics of anharmonic oscillators, few-level atoms, and coupled oscillator networks. Furthermore, the new measure allows us to discuss synchronization of disparate physical systems such as coupled hybrid quantum systems and coupled systems undergoing mutual synchronization that are also driven locally. In many cases of interest, we find a closed-form expression for the proposed measure.
Highlights
Detecting and measuring synchronization of classical systems has been an important area of research in nonlinear dynamics for decades [1,2,3]
III, we review two canonical examples of systems studied in quantum synchronization
We introduced a measure of synchronization based on distance to the limit-cycle dynamics
Summary
Detecting and measuring synchronization of classical systems has been an important area of research in nonlinear dynamics for decades [1,2,3]. Different measures have been introduced to study externally driven and mutually coupled van der Pol oscillators [4,5,6,7,8,9], driven and coupled spin-1 atoms [10,11], interacting many-body systems [12], spins interacting via coupled optical cavities [13], coupled opto-mechanical systems [14,15], and quantum systems undergoing transient synchronization [16,17].
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