PMID: 19792078Oct 2, 2009Paper

Fidelity susceptibility in the two-dimensional transverse-field Ising and XXZ models

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Wing-Chi YuShi-Jian Gu

Abstract

We study the fidelity susceptibility in the two-dimensional (2D) transverse-field Ising model and the 2D XXZ model numerically. It is found that in both models, the fidelity susceptibility as a function of the driving parameter diverges at the critical points. The validity of the fidelity susceptibility to signal for the quantum phase transition is thus verified in these two models. We also compare the scaling behavior of the extremum of the fidelity susceptibility to that of the second derivative of the ground-state energy. From those results, the theoretical argument that fidelity susceptibility is a more sensitive seeker for a second-order quantum phase transition is also testified in the two models.

References

May 23, 2006·Physical Review Letters·H T QuanC P Sun
Oct 10, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Paolo Zanardi, Nikola Paunković
Oct 13, 2007·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Wen-Long YouShi-Jian Gu
Oct 13, 2007·Physical Review Letters·Paolo ZanardiMarco Cozzini
Oct 13, 2007·Physical Review Letters·Lorenzo Campos Venuti, Paolo Zanardi
Oct 15, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Ho-Man KwokHai-Qing Lin

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Citations

Oct 3, 2014·Journal of Physics. Condensed Matter : an Institute of Physics Journal·Mischa Thesberg, Erik S Sørensen
Sep 27, 2018·Physical Review. E·Qiang LuoXiaoqun Wang
May 8, 2015·Journal of Physics. Condensed Matter : an Institute of Physics Journal·Wen-Long You, Li He
Aug 16, 2013·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Yoshihiro Nishiyama

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