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Thermal concurrence mixing in a 1D Ising model

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arxiv quant-ph/0102137 v2 pith:3PFA2XW5 submitted 2001-02-27 quant-ph cond-mat

Thermal concurrence mixing in a 1D Ising model

classification quant-ph cond-mat
keywords fieldentanglementmagneticdirectionfindisingmixingorientation
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We investigate the entanglement arising naturally in a 1D Ising chain in a magnetic field in an arbitrary direction. We find that for different temperatures, different orientations of the magnetic field give maximum entanglement. In the high temperature limit, this optimal orientation corresponds to the magnetic field being perpendicular to the Ising orientation (z direction). In the low temperature limit, we find that varying the angle of the magnetic field very slightly from the z direction leads to a rapid rise in entanglement. We also find that the orientation of the magnetic field for maximum entanglement varies with the field amplitude. Furthermore, we have derived a simple rule for the mixing of concurrences (a measure of entanglement) due to mixing of pure states satisfying certain conditions.

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