Entropy of XY Spin Chain and Block Toeplitz Determinants

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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.
46 pages, 3 figures

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Quantum Physics, Mathematical Physics, Exactly Solvable and Integrable Systems

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http://salesiana.dossiersoluciones.com/handle/123456789/125539

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/quant-ph/0606178
 http://arxiv.org/abs/quant-ph/0606178
 Fields Institute Communications, Universality and Renormalization [editors I.Bender and D. Kreimer], vol 50, page 151, 2007

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arXiv