Analysis of quantum phase transition in some different Curie-Weiss models: a unified approach
Abstract
A unified approach to the analysis of quantum phase transitions in some different Curie-Weiss models is proposed such that they are treated and analyzed under the same general scheme. This approach takes three steps: balancing the quantum Hamiltonian by an appropriate factor, rewriting the Hamiltonian in terms of operators only, and obtention of a classical Hamiltonian. operators are obtained from creation and annihilation operators as linear combinations in the case of fermions and as an inverse Holstein-Primakoff transformation in the case of bosons. This scheme is successfully applied to Lipkin, pairing, Jaynes-Cummings, bilayer, and Heisenberg models.
Keywords
Cite
@article{arxiv.1712.07634,
title = {Analysis of quantum phase transition in some different Curie-Weiss models: a unified approach},
author = {Carla Maria Pontes Carneiro and Giancarlo Queiroz Pellegrino},
journal= {arXiv preprint arXiv:1712.07634},
year = {2022}
}
Comments
The applications to the Jaynes-Cummings model (subsection 2.3) and to the Heisenberg model (subsection 2.5) have flaws and misunderstandings. A new version is in preparation