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

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

2007-01-22

arxiv.org/abs/quant-ph/0701160v5

Phys. Rev. A 76, 012320 (2007)

Physics

Quantum Physics

4 pages, RevTex, references added, improved presentation, typos fixed

Scientific paper

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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