Lieb-Robinson Bounds and the Speed of Light from Topological Order
Author(s)Hamma, Alioscia; Markopoulou, Fotini; Premont-Schwarz, Isabeau; Severini, Simone
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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.
DepartmentMassachusetts Institute of Technology. Research Laboratory of Electronics
Physical Review Letters
American Physical Society
Hamma, Alioscia et al. “Lieb-Robinson Bounds and the Speed of Light from Topological Order.” Physical Review Letters 102.1 (2009): 017204. © 2009 The American Physical Society.
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