Title: Entanglement in Fermionic Chains and Bispectrality
Abstract: Roman Jackiw, pp. 77-96 (2020) No AccessChapter 13: Entanglement in Fermionic Chains and BispectralityNicolas Crampé, Rafael I. Nepomechie and Luc VinetNicolas CrampéInstitut Denis-Poisson CNRS/UMR 7013 - Université de Tours, Parc de Grandmont, 37200 Tours, FranceInstitut Denis-Poisson CNRS/UMR 7013 - Université d'Orléans, Parc de Grandmont, 37200 Tours, France, Rafael I. NepomechiePhysics Department, P.O. Box 248046, University of Miami, Coral Gables, FL 33124, USA and Luc VinetCentre de Recherches Mathématiques, Université de Montréal, P.O. Box 6128, Centre-ville Station, Montréal (Québec), H3C 3J7, Canadahttps://doi.org/10.1142/9789811210679_0013Cited by:2 PreviousNext AboutSectionsPDF/EPUB ToolsAdd to favoritesDownload CitationsTrack CitationsRecommend to Library ShareShare onFacebookTwitterLinked InRedditEmail Abstract: Entanglement in finite and semi-infinite free Fermionic chains is studied. A parallel is drawn with the analysis of time and band limiting in signal processing. It is shown that a tridiagonal matrix commuting with the entanglement Hamiltonian can be found using the algebraic Heun operator construct in instances when there is an underlying bispectral problem. Cases corresponding to the Lie algebras su(2) and su(1, 1) as well as to the q-deformed algebra soq(3) at q a root of unity are presented. Dedication: This paper is dedicated to Roman Jackiw with admiration and gratitude on the occasion of his 80th birthday. FiguresReferencesRelatedDetailsCited By 2Sklyanin-like algebras for ( q -)linear grids and ( q -)para-Krawtchouk polynomialsGeoffroy Bergeron, Julien Gaboriaud, Luc Vinet and Alexei Zhedanov1 Jan 2021 | Journal of Mathematical Physics, Vol. 62, No. 1The Heun–Racah and Heun–Bannai–Ito algebrasGeoffroy Bergeron, Nicolas Crampé, Satoshi Tsujimoto, Luc Vinet and Alexei Zhedanov1 Aug 2020 | Journal of Mathematical Physics, Vol. 61, No. 8 Roman JackiwMetrics History PDF download