Lieb-Robinson bounds and the speed of light from topological order

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dc.creatorHamma, Alioscia
dc.creatorMarkopoulou, Fotini
dc.creatorPremont-Schwarz, Isabeau
dc.creatorSeverini, Simone
dc.date2008-08-18
dc.date2008-09-11
dc.date.accessioned2026-07-07T12:28:43Z
dc.date.available2026-07-07T12:28:43Z
dc.descriptionWe 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, \prb {\bf 68}, 115413 (2003)]. The maximum speed of interactions is found in two dimensions is bounded from above less than $\sqrt{2} e$ 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. Implications for the horizon problem in cosmology are discussed.
dc.description4 pages, 1 eps figure. Bound improved
dc.identifierhttps://arxiv.org/abs/0808.2495
dc.identifierhttp://arxiv.org/abs/0808.2495
dc.identifierPhys.Rev.Lett.102:017204,2009
dc.identifierdoi:10.1103/PhysRevLett.102.017204
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/215634
dc.subjectQuantum Physics
dc.subjectStrongly Correlated Electrons
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Lattice
dc.titleLieb-Robinson bounds and the speed of light from topological order
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