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- Title
Time dependence of entanglement entropy on the fuzzy sphere.
- Authors
Sabella-Garnier, Philippe
- Abstract
We numerically study the behaviour of entanglement entropy for a free scalar field on the noncommutative ('fuzzy') sphere after a mass quench. It is known that the entanglement entropy before a quench violates the usual area law due to the non-local nature of the theory. By comparing our results to the ordinary sphere, we find results that, despite this non-locality, are compatible with entanglement being spread by ballistic propagation of entangled quasi-particles at a speed no greater than the speed of light. However, we also find that, when the pre-quench mass is much larger than the inverse of the short-distance cutoff of the fuzzy sphere (a regime with no commutative analogue), the entanglement entropy spreads faster than allowed by a local model.
- Subjects
FUZZY systems; MATRIX groups; POLYMER networks; SCALAR field theory; NONCOMMUTATIVE differential geometry
- Publication
Journal of High Energy Physics, 2017, Vol 2017, Issue 8, p1
- ISSN
1126-6708
- Publication type
Article
- DOI
10.1007/JHEP08(2017)121