Hamma, A and Markopoulou, F and Premont-Schwarz, I and 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.
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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 |
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