Entanglement, fidelity and topological entropy in a quantum phase transition to topological order

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dc.creatorHamma, A.
dc.creatorZhang, W.
dc.creatorHaas, S.
dc.creatorLidar, D. A.
dc.date2007-04-30
dc.date2008-06-07
dc.date.accessioned2026-07-07T09:42:54Z
dc.date.available2026-07-07T09:42:54Z
dc.descriptionWe present a numerical study of a quantum phase transition from a spin-polarized to a topologically ordered phase in a system of spin-1/2 particles on a torus. We demonstrate that this non-symmetry-breaking topological quantum phase transition (TOQPT) is of second order. The transition is analyzed via the ground state energy and fidelity, block entanglement, Wilson loops, and the recently proposed topological entropy. Only the topological entropy distinguishes the TOQPT from a standard QPT, and remarkably, does so already for small system sizes. Thus the topological entropy serves as a proper order parameter. We demonstrate that our conclusions are robust under the addition of random perturbations, not only in the topological phase, but also in the spin polarized phase and even at the critical point.
dc.descriptionreplaced with published version
dc.identifierhttps://arxiv.org/abs/0705.0026
dc.identifierhttp://arxiv.org/abs/0705.0026
dc.identifierPhys. Rev. B 77, 155111 (2008)
dc.identifierdoi:10.1103/PhysRevB.77.155111
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/162355
dc.subjectQuantum Physics
dc.titleEntanglement, fidelity and topological entropy in a quantum phase transition to topological order
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