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Matrix product states and exactly solvable spin 1/2 Heisenberg chains with nearest neighbor interactions

M. Asoudeh·V. Karimipour·A. Sadrolashrafi
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Abstract

Using the matrix product formalism, we introduce a two parameter family of exactly solvable $xyz$ spin 1/2 Heisenberg chains in magnetic field (with nearest neighbor interactions) and calculate the ground state and correlation functions in compact form. The ground state has a very interesting property: all the pairs of spins are equally entangled with each other. Therefore it is possible to engineer long-range entanglement in experimentally realizable spin systems on the one hand and study more closely quantum phase transition in such systems on the other.

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M. Asoudeh, V. Karimipour, A. Sadrolashrafi. 2007-01-22. Matrix product states and exactly solvable spin 1/2 Heisenberg chains with nearest neighbor interactions. https://doi.org/10.1103/physreva.76.012320

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