dorsal/arxiv
View SchemaMatrix product states and exactly solvable spin 1/2 Heisenberg chains with nearest neighbor interactions
| Authors | M. Asoudeh, V. Karimipour, A. Sadrolashrafi |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0701160 |
| URL | https://arxiv.org/abs/quant-ph/0701160 |
| DOI | 10.1103/PhysRevA.76.012320 |
| Journal | Phys. Rev. A 76, 012320 (2007) |
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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"abstract": "Using the matrix product formalism, we introduce a two parameter family of\nexactly solvable $xyz$ spin 1/2 Heisenberg chains in magnetic field (with\nnearest neighbor interactions) and calculate the ground state and correlation\nfunctions in compact form. The ground state has a very interesting property:\nall the pairs of spins are equally entangled with each other. Therefore it is\npossible to engineer long-range entanglement in experimentally realizable spin\nsystems on the one hand and study more closely quantum phase transition in such\nsystems on the other.",
"arxiv_id": "quant-ph/0701160",
"authors": [
"M. Asoudeh",
"V. Karimipour",
"A. Sadrolashrafi"
],
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"quant-ph",
"cond-mat.str-el"
],
"doi": "10.1103/PhysRevA.76.012320",
"journal_ref": "Phys. Rev. A 76, 012320 (2007)",
"title": "Matrix product states and exactly solvable spin 1/2 Heisenberg chains with nearest neighbor interactions",
"url": "https://arxiv.org/abs/quant-ph/0701160"
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