title: Multiple frequencies of synchronization in classical and quantum networks.
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.
authors.affiliation: Centre for Complex Systems and Structure of Matter, Department of Physics, University of Adelaide, South Australia 5005, Australia.
authors.forename: Skye M
authors.initials: SM
authors.lastname: Platten
authors.forename: M A
authors.initials: MA
authors.lastname: Lohe
authors.forename: Peter J
authors.initials: PJ
authors.lastname: Moran
mesh_terms: D008962:Models, Theoretical; D011789:Quantum Theory