Fidelity susceptibility and general quench near an anisotropic quantum critical point

Details Fidelity susceptibility and general quench near an anisotropic quantum critical point Fidelity susceptibility and general quench near an anisotropic quantum critical point

2011-01-10

arxiv.org/abs/1101.1713v2

Phys. Rev. B 83, 214302 (2011)

Physics

Condensed Matter

Statistical Mechanics

6 pages, 6 pigures

Scientific paper

10.1103/PhysRevB.83.214302

We study the scaling behavior of fidelity susceptibility density $(\chi_{\rm f})$ at or close to an anisotropic quantum critical point characterized by two different correlation length exponents $\nu_{||}$ and $\nu_{\bot}$ 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 $L_{||}$ ($L_{\bot}$) in the parallel (perpendicular) directions, the maximum value of $\chi_{\rm f}$ is found to increases in a power-law fashion with $L_{||}$ for small $L_{||}$, with an exponent depending on both $\nu_{||}$ and $\nu_{\bot}$ and eventually crosses over to a scaling with $L_{\bot}$ for $L_{||}^{1/\nu_{||}} \gtrsim L_{\bot}^{1/\nu_{\bot}}$. 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.

Affiliated with

Also associated with

No associations

Rating

Fidelity susceptibility and general quench near an anisotropic quantum critical point does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Fidelity susceptibility and general quench near an anisotropic quantum critical point, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Fidelity susceptibility and general quench near an anisotropic quantum critical point will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-455531