dorsal/arxiv
View SchemaEntanglement in XY Spin Chain
| Authors | A. R. Its, B. -Q. Jin, V. E. Korepin |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0409027 |
| URL | https://arxiv.org/abs/quant-ph/0409027 |
| DOI | 10.1088/0305-4470/38/13/011 |
| Journal | Journal Phys. A: Math. Gen. vol 38, pages 2975-2990, 2005 |
Abstract
We consider the ground state of the XY model on an infinite chain at zero temperature. Following Bennett, Bernstein, Popescu, and Schumacher we use entropy of a sub-system as a measure of entanglement. Vidal, Latorre, Rico and Kitaev conjectured that von Neumann entropy of a large block of neighboring spins approaches a constant as the size of the block increases. We evaluated this limiting entropy as a function of anisotropy and transverse magnetic field. We used the methods based on integrable Fredholm operators and Riemann-Hilbert problem. The entropy is singular at phase transitions.
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"abstract": "We consider the ground state of the XY model on an infinite chain at zero\ntemperature. Following Bennett, Bernstein, Popescu, and Schumacher we use\nentropy of a sub-system as a measure of entanglement. Vidal, Latorre, Rico and\nKitaev conjectured that von Neumann entropy of a large block of neighboring\nspins approaches a constant as the size of the block increases. We evaluated\nthis limiting entropy as a function of anisotropy and transverse magnetic\nfield. We used the methods based on integrable Fredholm operators and\nRiemann-Hilbert problem. The entropy is singular at phase transitions.",
"arxiv_id": "quant-ph/0409027",
"authors": [
"A. R. Its",
"B. -Q. Jin",
"V. E. Korepin"
],
"categories": [
"quant-ph",
"cond-mat.stat-mech",
"nlin.SI"
],
"doi": "10.1088/0305-4470/38/13/011",
"journal_ref": "Journal Phys. A: Math. Gen. vol 38, pages 2975-2990, 2005",
"title": "Entanglement in XY Spin Chain",
"url": "https://arxiv.org/abs/quant-ph/0409027"
},
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