Information Geometry and Quantum Phase Transitions in the Dicke Model
Statistical Mechanics
2015-06-11 v2 High Energy Physics - Theory
Optics
Quantum Physics
Abstract
We study information geometry of the Dicke model, in the thermodynamic limit. The scalar curvature of the Riemannian metric tensor induced on the parameter space of the model is calculated. We analyze this both with and without the rotating wave approximation, and show that the parameter manifold is smooth even at the phase transition, and that the scalar curvature is continuous across the phase boundary.
Cite
@article{arxiv.1208.4710,
title = {Information Geometry and Quantum Phase Transitions in the Dicke Model},
author = {Anshuman Dey and Subhash Mahapatra and Pratim Roy and Tapobrata Sarkar},
journal= {arXiv preprint arXiv:1208.4710},
year = {2015}
}
Comments
References and clarifications added. Final version to appear in Physical Review E