Analytic results on long distance entanglement mediated by gapped spin chains

Details Analytic results on long distance entanglement mediated by gapped spin chains Analytic results on long distance entanglement mediated by gapped spin chains

2007-08-02

arxiv.org/abs/0708.0320v2

Phys. Rev. A. 77 (2008) 034301

Physics

Quantum Physics

4 pages, 2 figures, submitted for publication

Scientific paper

10.1103/PhysRevA.77.034301

We give an analytical description of long distance entanglement (LDE) mediated by one-dimensional quantum spin chains recently found in numerical studies. We develop a formalism that allows the computation of LDE for weakly interacting probes with gapped many-body systems. At zero temperature, a DC response function determines the ability of the physical system to generate genuine quantum correlations between the probes. We show that the biquadratic Heisenberg spin-1 chain is able to produce LDE in the thermodynamical limit and that the finite antiferromagnetic Heisenberg chain maximally entangles two spin-1/2 probes very far apart. These results support the current perspective of using quantum spin chains as entanglers or quantum channels in quantum information devices.

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