Entanglement and Entropy in a Spin-Boson Quantum Phase Transition

2004/05/31 by N. Lambert, C. Emary, T. Brandes · 1 citation
Physics and Astronomy · #quant-ph

paper · pdf · doi:10.1103/physreva.71.053804

published as Phys. Rev. A 71, 053804 (2005) · 9 pages, 3 figures. Significantly Shortened. Removed concurrence section, multipartite section significantly changed. 14 pages, 4 figures, submitted to PRA

arxiv created 2004/12/08 · arxiv updated 2009/12/01

Abstract

We investigate the entanglement properties of an ensemble of atoms interacting with a single bosonic field mode via the Dicke (superradiance) Hamiltonian. The model exhibits a quantum phase transition and a well-understood thermodynamic limit, allowing the identification of both quantum and semi-classical many-body features in the behaviour of the entanglement. We consider the entanglement between the atoms and the field, an investigation initiated in [N. Lambert, C. Emary and T. Brandes, Phys. Rev. Lett. \bf 92, %073602 (2004)]. In the thermodynamic limit, we give exact results for all entanglement partitions and observe a logarithmic divergence of the atom-field entanglement, and discontinuities in the average linear entropy.

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