Coherent Interaction of Spins Induced by Thermal Bosonic Environment

Details Coherent Interaction of Spins Induced by Thermal Bosonic Environment Coherent Interaction of Spins Induced by Thermal Bosonic Environment

2005-11-29

arxiv.org/abs/cond-mat/0511680v3

Physics Letters A 359, pages 81-85 (2006)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

10 pages, 3 figures; typos corrected

Scientific paper

10.1016/j.physleta.2006.06.005

We obtain and analyze the indirect exchange interaction between two two-state systems, e.g., spins, in a formulation that also incorporates the quantum noise that they experience, due to a bosonic environment, for instance, phonons. We utilize a perturbative approach to obtain a quantum evolution equation for the two-spin dynamics. A non-perturbative approach is used to study the onset of the induced interaction, which is calculated exactly. We predict that for low enough temperatures the interaction is coherent over time scales sufficient to create entanglement, dominated by the zero-point quantum fluctuations of the environment. We identify the time scales for which the spins develop entanglement for various spatial separations.

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