Quantum Entanglement and fixed point Hopf bifurcation

Details Quantum Entanglement and fixed point Hopf bifurcation Quantum Entanglement and fixed point Hopf bifurcation

2005-07-04

arxiv.org/abs/quant-ph/0507026v1

Physics

Quantum Physics

Scientific paper

10.1016/j.physleta.2006.01.028

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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