Fidelity susceptibility and general quench near an anisotropic quantum critical point

Mukherjee, Victor ; Dutta, Amit (2011) Fidelity susceptibility and general quench near an anisotropic quantum critical point Physical Review B, 83 (21). ISSN 1098-0121

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Official URL: http://doi.org/10.1103/PhysRevB.83.214302

Related URL: http://dx.doi.org/10.1103/PhysRevB.83.214302

Abstract

We study the scaling behavior of fidelity susceptibility density (χf) at or close to an anisotropic quantum critical point characterized by two different correlation length exponents ν|| and ν⊥ along parallel and perpendicular spatial directions, respectively. Our studies show that the response of the system due to a small change in the Hamiltonian near an anisotropic quantum critical point is different from that seen near an isotropic quantum critical point. In particular, for a finite system with linear dimension L|| (L⊥) in the parallel (perpendicular) directions, the maximum value of χf is found to increases in a power-law fashion with L|| for small L||, with an exponent depending on both ν|| and ν⊥ and eventually crosses over to a scaling with L⊥ for L1/ν||||≳L1/ν⊥⊥. We also propose scaling relations of heat density and defect density generated following a quench starting from an anisotropic quantum critical point and connect them to a generalized fidelity susceptibility. These predictions are verified exactly both analytically and numerically taking the example of a Hamiltonian showing a semi-Dirac band-crossing point.

Item Type:Article
Source:Copyright of this article belongs to American Physical Society.
ID Code:117199
Deposited On:16 Apr 2021 04:39
Last Modified:16 Apr 2021 04:39

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