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Werner states and the two-spinors Heisenberg anti-ferromagnet

J. Batle·M. Casas·A. Plastino·A. R. Plastino
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Abstract

We ascertain, following ideas of Arnesen, Bose, and Vedral concerning thermal entanglement [Phys. Rev. Lett. {\bf 87} (2001) 017901] and using the statistical tool called {\it entropic non-triviality} [Lamberti, Martin, Plastino, and Rosso, Physica A {\bf 334} (2004) 119], that there is a one to one correspondence between (i) the mixing coefficient $x$ of a Werner state, on the one hand, and (ii) the temperature $T$ of the one-dimensional Heisenberg two-spin chain with a magnetic field $B$ along the $z-$axis, on the other one. This is true for each value of $B$ below a certain critical value $B_c$. The pertinent mapping depends on the particular $B-$value one selects within such a range.

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J. Batle, M. Casas, A. Plastino, A. R. Plastino. 2006-03-07. Werner states and the two-spinors Heisenberg anti-ferromagnet. https://doi.org/10.1016/j.physleta.2005.06.001

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