Phys. Rev. A 71, 053804 (2005) [8 pages]Entanglement and entropy in a spin-boson quantum phase transitionReceived 19 May 2004; revised 9 August 2004; published 11 May 2005 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 semiclassical many-body features in the behavior of the entanglement. We consider the entanglement between the atoms and the field, an investigation initiated in Lambert et al. Phys. Rev. Lett. 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. © 2005 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevA.71.053804
DOI:
10.1103/PhysRevA.71.053804
PACS:
42.50.Fx, 03.65.Ud, 05.30.Jp, 73.43.Nq
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