Lieb-Robinson Bounds and the Speed of Light from Topological Order.
PHYS REV LETT
, Article 017204. 10.1103/PhysRevLett.102.017204.
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.
|Title:||Lieb-Robinson Bounds and the Speed of Light from Topological Order|
|Open access status:||An open access version is available from UCL Discovery|
|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|
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