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Type: Journal article
Title: Multiple frequencies of synchronization in classical and quantum networks
Author: Platten, S.
Lohe, M.
Moran, P.
Citation: Physical Review E. (Statistical, Nonlinear, and Soft Matter Physics), 2011; 84(2):026207-1-026207-6
Publisher: American Physical Soc
Issue Date: 2011
ISSN: 1539-3755
Statement of
Skye M. Platten, M. A. Lohe, and Peter J. Moran
Abstract: Complex systems consisting of vector or matrix oscillators can synchronize to a common state characterized by a frequency matrix with distinct eigenvalues, leading to multiple frequencies of synchronization. In quantum networked systems the synchronized state is a linear combination of states corresponding to different energy levels. Suitable symmetry-breaking network interactions, however, allow only one or more such frequencies to appear. A specific example in three dimensions, where all trajectories lie on the 2-sphere, is a model of interacting spin-1 quantum angular momentum states, where synchronization to a nontrivial frequency occurs despite the presence of zero-frequency modes of oscillation.
Keywords: Quantum Theory; Models, Theoretical
Rights: ©2011 American Physical Society
RMID: 0020112395
DOI: 10.1103/PhysRevE.84.026207
Appears in Collections:Special Research Centre for the Subatomic Structure of Matter publications

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