Entropy of XY Spin Chain and Block Toeplitz Determinants

Simple item page
dc.creatorIts, A. R.
dc.creatorJin, B. -Q.
dc.creatorKorepin, V. E.
dc.date2006-06-21
dc.date2006-09-18
dc.date.accessioned2026-07-07T07:51:31Z
dc.date.available2026-07-07T07:51:31Z
dc.descriptionWe 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.
dc.description46 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/quant-ph/0606178
dc.identifierhttp://arxiv.org/abs/quant-ph/0606178
dc.identifierFields Institute Communications, Universality and Renormalization [editors I.Bender and D. Kreimer], vol 50, page 151, 2007
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/125539
dc.subjectQuantum Physics
dc.subjectMathematical Physics
dc.subjectExactly Solvable and Integrable Systems
dc.titleEntropy of XY Spin Chain and Block Toeplitz Determinants
dc.typetext

Files

Collections

arXiv