Thermal concurrence mixing in a 1D Ising model

Details Thermal concurrence mixing in a 1D Ising model Thermal concurrence mixing in a 1D Ising model

2001-02-27

arxiv.org/abs/quant-ph/0102137v2

Phys. Rev. A 64, 042302 (2001)

Physics

Quantum Physics

8 pages latex, 8 eps figs included. For colour versions of figs see http://www.lsr.ph.ic.ac.uk/~dang Typos corrected

Scientific paper

10.1103/PhysRevA.64.042302

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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