Scaling of the fidelity susceptibility in a disordered quantum spin chain

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dc.creatorJacobson, N. Tobias
dc.creatorGarnerone, Silvano
dc.creatorHaas, Stephan
dc.creatorZanardi, Paolo
dc.date2009-03-11
dc.date2009-05-06
dc.date.accessioned2026-07-07T13:18:24Z
dc.date.available2026-07-07T13:18:24Z
dc.descriptionThe phase diagram of a quantum XY spin chain with Gaussian-distributed random anisotropies and transverse fields is investigated, with focus on the fidelity susceptibility, a recently introduced quantum information theoretical measure. Monitoring the finite-size scaling of the probability distribution of this quantity as well as its average and typical values, we detect a disorder-induced disappearance of criticality and the emergence of Griffiths phases in this model. It is found that the fidelity susceptibility is not self-averaging near the disorder-free quantum critical lines. At the Ising critical point the fidelity susceptibility scales as a disorder-strength independent stretched exponential of the system size, in contrast with the quadratic scaling at the corresponding point in the disorder-free XY chain. Along the line where the average anisotropy vanishes the fidelity susceptibility appears to scale extensively, whereas in the disorder-free case this point is quantum critical with quadratic finite-size scaling.
dc.description9 pages, 16 figures, added a reference
dc.identifierhttps://arxiv.org/abs/0903.2069
dc.identifierhttp://arxiv.org/abs/0903.2069
dc.identifierPhys. Rev. B 79, 184427 (2009)
dc.identifierdoi:10.1103/PhysRevB.79.184427
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/231420
dc.subjectQuantum Physics
dc.titleScaling of the fidelity susceptibility in a disordered quantum spin chain
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