44946 20210121114526.0 doi 10.1103/PhysRevA.92.042334 sideral 92669 ART-2015-92669 eng (orcid)0000-0001-5062-2332 Ares, F. Universidad de Zaragoza Entanglement in fermionic chains with finite-range coupling and broken symmetries 2015 Access copy available to the general public Unrestricted We obtain a formula for the determinant of a block Toeplitz matrix associated with a quadratic fermionic chain with complex coupling. Such couplings break reflection symmetry and/or charge conjugation symmetry. We then apply this formula to compute the Rényi entropy of a partial observation to a subsystem consisting of contiguous sites in the limit of large size. The present work generalizes similar results due to Its, Jin, and Korepin Fields Institute Communications, Universality and Renormalization, Vol. 50, p. 151, 2007] and Its, Mezzadri, and Mo Commun. Math. Phys. 284, 117 (2008)CMPHAY0010-361610.1007/s00220-008-0566-6]. A striking feature of our formula for the entanglement entropy is the appearance of a term scaling with the logarithm of the size. This logarithmic behavior originates from certain discontinuities in the symbol of the block Toeplitz matrix. Equipped with this formula we analyze the entanglement entropy of a Dzyaloshinski-Moriya spin chain and a Kitaev fermionic chain with long-range pairing. info:eu-repo/grantAgreement/ES/MINECO/FPA2012-35453 info:eu-repo/grantAgreement/ES/FPI/C070-2014 info:eu-repo/grantAgreement/ES/DGA/E24-2 info:eu-repo/semantics/openAccess by-nc-nd http://creativecommons.org/licenses/by-nc-nd/3.0/es/ 2.765 2015 OPTICS 17 / 91 = 0.187 2015 Q1 T1 PHYSICS, ATOMIC, MOLECULAR & CHEMICAL 12 / 35 = 0.343 2015 Q2 T2 1.747 2015 Atomic and Molecular Physics, and Optics 2015 Q1 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion (orcid)0000-0001-7715-4970 Esteve, J.G. Universidad de Zaragoza (orcid)0000-0002-0882-0463 Falceto, F. Universidad de Zaragoza De Queiroz, A.R. 2004 405 Universidad de Zaragoza Dpto. Física Teórica Área Física Teórica 92, 4 (2015), 042334[11 pp] Phys. rev., A At. mol. opt. phy. Physical review. A, Atomic, molecular, and optical physics 1050-2947 436960 http://zaguan.unizar.es/record/44946/files/texto_completo.pdf Versión publicada 122171 http://zaguan.unizar.es/record/44946/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:44946 articulos driver 2021-01-21-11:06:52 ARTICLE