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Fidelity susceptibility of the anisotropic XY model: The exact solution

2018/05/15 by Qiang Luo, jize Zhao, Xiaoqun Wang · 1 citation
Physics and Astronomy · #cond-mat.other #cond-mat.stat-mech #cond-mat.str-el #quant-ph

paper · pdf · doi:10.1103/physreve.98.022106

published as Phys. Rev. E 98, 022106 (2018) · 6+6 pages, 4 figures, PRE under review

arxiv created 2018/05/15 · arxiv updated 2018/08/15

Abstract

We derive several closed-form expressions for the fidelity susceptibility~(FS) of the anisotropic XY model in the transverse field. The basic idea lies in a partial fraction expansion of the expression so that all the terms are related to a simple fraction or its derivative. The critical points of the model are reiterated by the FS, demonstrating its validity for characterizing the phase transitions. Moreover, the critical exponents ν associated with the correlation length in both critical regions are successfully extracted by the standard finite-size scaling analysis.

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