Entanglement and entropy in a spin-boson quantum phase transition

Journal Article · Sun May 15 04:00:00 EDT 2005 · Physical Review. A

DOI:https://doi.org/10.1103/PhysRevA.71.053804· OSTI ID:20717805

Lambert, N; Brandes, T ^[1]; Emary, C ^[2]

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1. University of Manchester, School of Physics and Astronomy, P.O. Box 88, Manchester, M60 1QD (United Kingdom)
2. Instituut-Lorentz, Universiteit Leiden, P.O. Box 9506, 2300 RA Leiden (Netherlands)

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.

• OSTI ID: 20717805
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 5 Vol. 71; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
74 ATOMIC AND MOLECULAR PHYSICS
ATOMS
BOSONS
ENTROPY
HAMILTONIANS
MANY-BODY PROBLEM
PHASE TRANSFORMATIONS
QUANTUM ENTANGLEMENT
SEMICLASSICAL APPROXIMATION
SPIN
SUPERRADIANCE
THERMODYNAMICS