Scaling of the fidelity susceptibility in a disordered quantum spin chain

Details Scaling of the fidelity susceptibility in a disordered quantum spin chain Scaling of the fidelity susceptibility in a disordered quantum spin chain

2009-03-11

arxiv.org/abs/0903.2069v2

Phys. Rev. B 79, 184427 (2009)

Physics

Quantum Physics

9 pages, 16 figures, added a reference

Scientific paper

10.1103/PhysRevB.79.184427

The 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.

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