Scaling Properties of Fidelity in Spin-one Anisotropic Model

Details Scaling Properties of Fidelity in Spin-one Anisotropic Model Scaling Properties of Fidelity in Spin-one Anisotropic Model

2007-09-11

arxiv.org/abs/0709.1518v2

Phys. Rev. A 77, 012311 (2008)

Physics

Quantum Physics

4 pages, 4 figures

Scientific paper

10.1103/PhysRevA.77.012311

By means of the density matrix renormalization group technique, the scaling relation of the fidelity susceptibility proposed recently is verified for the spin-one XXZ spin chain with an on-site anisotropic term. Moreover, from the results of both the fidelity susceptibility and the entanglement entropy, the critical points and some of the corresponding critical exponents are determined through a proper finite-size scaling analysis, and these values agree with the findings in the literature. Thus our work provides a numerical support of the use of the fidelity in detecting quantum phase transitions.

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