Quantum Renormalization Group for Ground-State Fidelity
Quantum Physics
2012-05-16 v2 Statistical Mechanics
Strongly Correlated Electrons
Abstract
Ground-state fidelity (GSF) and quantum renormalization group theory (QRG) have proven useful tools in the study of quantum critical systems. Here we lay out a general, unified formalism of GSF and QRG; specifically, we propose a method to calculate GSF through QRG, obviating the need for calculating or approximating ground states. This method thus enhances characterization of quantum criticality as well as scaling analysis of relevant properties with system size. We illustrate the formalism in the one-dimensional Ising model in a transverse field and the anisotropic spin-1/2 Heisenberg model.
Cite
@article{arxiv.1108.3026,
title = {Quantum Renormalization Group for Ground-State Fidelity},
author = {A. Langari and A. T. Rezakhani},
journal= {arXiv preprint arXiv:1108.3026},
year = {2012}
}
Comments
5 pages and 5 figures (revised)