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Quantum Entanglement and fixed point Hopf bifurcation

M. C. Nemes·K. Furuya·G. Q. Pellegrino·A. C. Oliveira·Mauricio Reis·L. Sanz
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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.

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M. C. Nemes, K. Furuya, G. Q. Pellegrino, A. C. Oliveira, Mauricio Reis, L. Sanz. 2005-07-04. Quantum Entanglement and fixed point Hopf bifurcation. https://doi.org/10.1016/j.physleta.2006.01.028

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