Entanglement and Entropy in a Spin-Boson Quantum Phase Transition

Details Entanglement and Entropy in a Spin-Boson Quantum Phase Transition Entanglement and Entropy in a Spin-Boson Quantum Phase Transition

2004-05-19

arxiv.org/abs/quant-ph/0405109v2

Phys. Rev. A 71, 053804 (2005)

Physics

Quantum Physics

9 pages, 3 figures. Significantly Shortened. Removed concurrence section, multipartite section significantly changed. 14 pages

Scientific paper

10.1103/PhysRevA.71.053804

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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