Finite temperature fidelity susceptibility for one-dimensional quantum systems
Strongly Correlated Electrons
2010-10-04 v2 Quantum Physics
Abstract
We calculate the fidelity susceptibility chi_f for the Luttinger model and show that there is a universal contribution linear in temperature T (or inverse length 1/L). Furthermore, we develop an algorithm - based on a lattice path integral approach - to calculate the fidelity F(T) in the thermodynamic limit for one-dimensional quantum systems. We check the Luttinger model predictions by calculating chi_f(T) analytically for free spinless fermions and numerically for the XXZ chain. Finally, we study chi_f at the two phase transitions in this model.
Cite
@article{arxiv.1006.2522,
title = {Finite temperature fidelity susceptibility for one-dimensional quantum systems},
author = {J. Sirker},
journal= {arXiv preprint arXiv:1006.2522},
year = {2010}
}
Comments
typo in Eq. (9) corrected, published version