Quantum Entanglement and fixed point Hopf bifurcation
Quantum Physics
2014-12-31 v1
Abstract
We present the qualitative differences in the phase transitions of the mono-mode Dicke model in its integrable and chaotic versions. We show that a first order phase transition occurs in the integrable case whereas a second order in the chaotic one. This difference is also reflected in the classical limit: for the integrable case the stable fixed point in phase space suffers a bifurcation of Hopf type whereas for the second one a pitchfork type bifurcation has been reported.
Cite
@article{arxiv.quant-ph/0507026,
title = {Quantum Entanglement and fixed point Hopf bifurcation},
author = {M. C. Nemes and K. Furuya and G. Q. Pellegrino and A. C. Oliveira and Mauricio Reis and L. Sanz},
journal= {arXiv preprint arXiv:quant-ph/0507026},
year = {2014}
}