Synchronization dynamics in a designed open system

Abstract

We theoretically propose a unifying expression for synchronization dynamics between two-level constituents. Although synchronization phenomena require some substantial mediators, the distinct repercussions of their propagation delays remain obscure, especially in open systems. Our scheme directly incorporates the details of the constituents and mediators in an arbitrary environment. As one example, we demonstrate the synchronization dynamics of optical emitters on a dielectric microsphere. We reveal that the whispering gallery modes (WGMs) bridge the well-separated emitters and accelerate the synchronized fluorescence, known as superfluorescence. The emitters are found to overcome the significant and nonuniform retardation, and to build up their pronounced coherence by the WGMs, striking a balance between the roles of resonator and intermediary. Our work directly illustrates the dynamical aspects of many-body synchronizations and contributes to the exploration of research paradigms that consider designed open systems.

arXiv comment5 pages, 3 figures

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Cited by in corpus (6)

• Cooperative emission in quantum plasmonic superradiance
• Synchronization of a Self-Sustained Cold Atom Oscillator
• Stable-to-unstable transition in quantum friction
• Electrostatic nature of cavity-mediated interactions between low-energy matter excitations
• Collective emission of an atomic beam into an off-resonant cavity mode
• Synchronization of two cavity-coupled qubits measured by entanglement