dorsal/arxiv
View SchemaEntropy of XY Spin Chain and Block Toeplitz Determinants
| Authors | A. R. Its, B. -Q. Jin, V. E. Korepin |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0606178 |
| URL | https://arxiv.org/abs/quant-ph/0606178 |
| Journal | Fields Institute Communications, Universality and Renormalization [editors I.Bender and D. Kreimer], vol 50, page 151, 2007 |
Abstract
We consider entanglement in the ground state of the XY spin model on infinite chain. We use von Neumann entropy of a sub-system as a measure of entanglement. The entropy of a large block of neighboring spins approaches a constant as the size of the block increases. We prove rigorously expression for limiting entropy which was published before. We observe that the entropy reaches minimum at product states but increases boundlessly at phase transitions.
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"abstract": "We consider entanglement in the ground state of the XY spin model on infinite\nchain. We use von Neumann entropy of a sub-system as a measure of entanglement.\nThe entropy of a large block of neighboring spins approaches a constant as the\nsize of the block increases. We prove rigorously expression for limiting\nentropy which was published before. We observe that the entropy reaches minimum\nat product states but increases boundlessly at phase transitions.",
"arxiv_id": "quant-ph/0606178",
"authors": [
"A. R. Its",
"B. -Q. Jin",
"V. E. Korepin"
],
"categories": [
"quant-ph",
"math-ph",
"math.MP",
"nlin.SI"
],
"journal_ref": "Fields Institute Communications, Universality and Renormalization\n [editors I.Bender and D. Kreimer], vol 50, page 151, 2007",
"title": "Entropy of XY Spin Chain and Block Toeplitz Determinants",
"url": "https://arxiv.org/abs/quant-ph/0606178"
},
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