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Quantum Simulation

Analysis of quantum phase transition in some different Curie-Weiss models: a unified approach

arXiv
Authors: Carla Maria Pontes Carneiro, Giancarlo Queiroz Pellegrino

Year

2017

Paper ID

24357

Status

Preprint

Abstract Read

~2 min

Abstract Words

98

Citations

N/A

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 SU(2) operators only, and obtention of a classical Hamiltonian. SU(2) 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.

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  • 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...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1712.07634 [2] arXiv https://arxiv.org/abs/1712.07634 [3] Publisher https://arxiv.org/abs/1712.07634

Local Citation Graph (Related-Paper Links)

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