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Setting Limits on Supersymmetry Using Simplified Models
Published on: November 15, 2013
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Supersymmetric multiplex networks described by coupled Bose and Fermi statistics
1School of Mathematical Sciences, Queen Mary University of London, London E1 4NS, United Kingdom.
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|February 14, 2015
Summary
Researchers discovered supersymmetric multiplex networks in growing systems, linking their dynamics to quantum statistics. This finding reveals a simple relationship between network entanglement and entropy rate, connecting classical and quantum information characteristics.
Area of Science:
- Complex Networks
- Quantum Information Theory
- Statistical Physics
Background:
- Complex networks typically lack simple symmetries.
- Multiplex networks consist of multiple interconnected layers.
- Understanding network dynamics and complexity is a key challenge.
Purpose of the Study:
- To investigate symmetries in growing multiplex networks.
- To introduce and describe supersymmetric multiplex networks.
- To connect network dynamics with quantum information measures.
Main Methods:
- Analysis of growing multiplex network dynamics.
- Application of Bose-Einstein and Fermi-Dirac quantum statistics.
- Extension of network entanglement entropy to multiplex layers.
Main Results:
- Demonstration of exploitable symmetries in growing multiplex networks.
- Formation of supersymmetric multiplex networks with scale-free layers.
- Observation of Bose-Einstein condensation of links.
- Discovery of a simple relation between layer entanglement entropies and network entropy rate.
Conclusions:
- Supersymmetric multiplex networks exhibit unique symmetries governed by quantum statistics.
- Network entanglement entropy provides insights into the complexity of multiplex networks.
- A direct link is established between the classical dynamics and quantum information properties of these networks.
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