Entanglement, chaos and atomic Wigner function of the Dicke model

Details Entanglement, chaos and atomic Wigner function of the Dicke model Entanglement, chaos and atomic Wigner function of the Dicke model

2005-07-04

arxiv.org/abs/quant-ph/0507025v1

Physics

Quantum Physics

Scientific paper

We calculate the atomic (spin) Wigner function for the single mode Dicke model in the regime of large number of two-level atoms. The dynamics of this quasi-probability function on the Bloch sphere allows us to visualize the consequences of the entanglement process between the boson and the spin subsystems. Such investigation shows a distinct localization behavior of the spin state with respect to the polar and azimuthal Bloch sphere angles. A complete {\em breakdown of reflection symmetry} in the azimuthal angle is shown in the non-integrable case, even at short evolution times. Also, in the classically chaotic situation, the appearance of {\em sub-planck structures} in the Wigner function is shown, and its evolution analyzed.

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