dorsal/arxiv
View SchemaAnalysis of entropy of XY Spin Chain
| Authors | F. Franchini, A. R. Its, B. -Q. Jin, V. E. Korepin |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0606240 |
| URL | https://arxiv.org/abs/quant-ph/0606240 |
| Journal | Proceedings of the Third Feynman Workshop, 2006 |
Abstract
Entanglement in the ground state of the XY model on the infinite chain can be measured by the von Neumann entropy of a block of neighboring spins. We study a double scaling limit: the size of the block is much larger then 1 but much smaller then the length of the whole chain. In this limit, the entropy of the block approaches a constant. The limiting entropy is a function of the anisotropy and of the magnetic field. The entropy reaches minima at product states and increases boundlessly at phase transitions.
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"abstract": "Entanglement in the ground state of the XY model on the infinite chain can be\nmeasured by the von Neumann entropy of a block of neighboring spins. We study a\ndouble scaling limit: the size of the block is much larger then 1 but much\nsmaller then the length of the whole chain. In this limit, the entropy of the\nblock approaches a constant. The limiting entropy is a function of the\nanisotropy and of the magnetic field. The entropy reaches minima at product\nstates and increases boundlessly at phase transitions.",
"arxiv_id": "quant-ph/0606240",
"authors": [
"F. Franchini",
"A. R. Its",
"B. -Q. Jin",
"V. E. Korepin"
],
"categories": [
"quant-ph",
"cond-mat.stat-mech",
"hep-th"
],
"journal_ref": "Proceedings of the Third Feynman Workshop, 2006",
"title": "Analysis of entropy of XY Spin Chain",
"url": "https://arxiv.org/abs/quant-ph/0606240"
},
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