Please use this identifier to cite or link to this item:
https://hdl.handle.net/2440/71022
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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 1550-2376 |
Statement of Responsibility: | 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 |
DOI: | 10.1103/PhysRevE.84.026207 |
Published version: | http://dx.doi.org/10.1103/physreve.84.026207 |
Appears in Collections: | Aurora harvest 5 Special Research Centre for the Subatomic Structure of Matter publications |
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hdl_71022.pdf | Published version | 228.02 kB | Adobe PDF | View/Open |
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