Entanglement, chaos and atomic Wigner function of the Dicke model
Quantum Physics
2007-05-23 v1
Abstract
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.
Keywords
Cite
@article{arxiv.quant-ph/0507025,
title = {Entanglement, chaos and atomic Wigner function of the Dicke model},
author = {L. Sanz and K. Furuya},
journal= {arXiv preprint arXiv:quant-ph/0507025},
year = {2007}
}