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

2008/08/13 by Ma, Jian, Xu, Lei, Wang, Xiaoguang
#FOS: Physical sciences #Quantum Physics (quant-ph)

paper · doi:10.48550/arxiv.0808.1816

Abstract

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.

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