UCL logo

UCL Discovery

UCL home » Library Services » Electronic resources » UCL Discovery

Lieb-Robinson Bounds and the Speed of Light from Topological Order

Hamma, A; Markopoulou, F; Premont-Schwarz, I; Severini, S; (2009) Lieb-Robinson Bounds and the Speed of Light from Topological Order. PHYS REV LETT , 102 (1) , Article 017204. 10.1103/PhysRevLett.102.017204. Green and gold open access

[img]
Preview
PDF - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader
162Kb

Abstract

We apply the Lieb-Robinson bounds technique to find the maximum speed of interaction in a spin model with topological order whose low-energy effective theory describes light [see X.-G. Wen, Phys. Rev. B 68, 115413 (2003)]. The maximum speed of interactions in two dimensions is bounded from above by less than e times the speed of emerging light, giving a strong indication that light is indeed the maximum speed of interactions. This result does not rely on mean field theoretic methods. In higher spatial dimensions, the Lieb-Robinson speed is conjectured to increase linearly with the dimension itself. The implications for the horizon problem in cosmology are discussed.

Type:Article
Title:Lieb-Robinson Bounds and the Speed of Light from Topological Order
Open access status:An open access publication. A version is also available from UCL Discovery.
DOI:10.1103/PhysRevLett.102.017204
Publisher version:http://dx.doi.org/10.1103/PhysRevLett.102.017204
Language:English
Additional information:© 2009 The American Physical Society
Keywords:QUANTUM HALL STATES, INFLATIONARY UNIVERSE, DEGENERACY, FLATNESS, SYSTEMS, HORIZON
UCL classification:UCL > School of BEAMS > Faculty of Engineering Science > Computer Science

View download statistics for this item

Archive Staff Only: edit this record