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Multicritical behavior of the fidelity susceptibility for the 2D quantum transverse-field XY model

Yoshihiro Nishiyama

arXiv:1908.01248The European Physical Journal BAug 1, 20196 citations

Markovian and Non-Markovian Dynamics in the One-Dimensional Transverse-Field XY Model

Z. Saghafi, S. Mahdavifar, E. Hosseini Lapasar

arXiv:1910.08637Journal of Statistical PhysicsJun 8, 20192 citations

Reduced fidelity susceptibility in the one-dimensional transverse field Ising model

Jian Ma, Lei Xu, Xiaoguang Wang

We study critical behaviors of the reduced fidelity susceptibility for two neighboring sites in the one-dimensional transverse field Ising model. It is found that the divergent behaviors of the susceptibility take the form of square of logarithm, in contrast with the global ground-state fidelity susceptibility which is power divergence. In order to perform a scaling analysis, we take the square root of the susceptibility and determine the scaling exponent analytically and the result is further confirmed by numerical calculations.We study critical behaviors of the reduced fidelity susceptibility for two neighboring sites in the one-dimensional transverse field Ising model. It is found that the divergent behaviors of the susceptibility take the form of square of logarithm, in contrast with the global ground-state fidelity susceptibility which is power divergence. In order to perform a scaling analysis, we take the square root of the susceptibility and determine the scaling exponent analytically and the result is further confirmed by numerical calculations.

arXiv:0808.1816Aug 13, 20081 citation

Reduced Fidelity Susceptibility in One-Dimensional Transverse Field Ising Model

Jian Ma, Lei Xu, Xiaoguang Wang

We study critical behaviors of the reduced fidelity susceptibility for two neighboring sites in the one-dimensional transverse field Ising model. It is found that the divergent behaviors of the susceptibility take the form of square of logarithm, in contrast with the global ground-state fidelity susceptibility which is power divergence. In order to perform a scaling analysis, we take the square root of the susceptibility and determine the scaling exponent analytically and the result is further confirmed by numerical calculations.We study critical behaviors of the reduced fidelity susceptibility for two neighboring sites in the one-dimensional transverse field Ising model. It is found that the divergent behaviors of the susceptibility take the form of square of logarithm, in contrast with the global ground-state fidelity susceptibility which is power divergence. In order to perform a scaling analysis, we take the square root of the susceptibility and determine the scaling exponent analytically and the result is further confirmed by numerical calculations.

Communications in Theoretical PhysicsJan 1, 20103 citations

Transverse correlations in the one-dimensional XY-model

Hans W. Capel, Jacques H. H. Perk

Annals of the Israel Physical SocietyJan 1, 19780 citations

Fidelity susceptibility of the anisotropic XY model: The exact solution

Qiang Luo, Jize Zhao, Xiaoqun Wang

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.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.

arXiv:1805.05560Physical review. EAug 7, 201829 citations

Scaling of reduced fidelity susceptibility in the one-dimensional transverse-field XY model

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