Nontransverse factorizing fields and entanglement in finite spin systems

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We determine the conditions for the existence of nontransverse factorizing magnetic fields in general spin arrays with anisotropic XYZ couplings of arbitrary range. It is first shown that a uniform, maximally aligned, completely separable eigenstate can exist just for fields hs parallel to a princip...

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Autores principales: Cerezo de la Roca, Marco Vinicio Sebastián, Rossignoli, Raúl Dante, Canosa, Norma Beatriz
Formato: Articulo
Lenguaje:Inglés
Publicado: 2015
Materias:
Física
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/164079
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-164079
record_format dspace
spelling I19-R120-10915-1640792024-03-20T20:10:03Z http://sedici.unlp.edu.ar/handle/10915/164079 Nontransverse factorizing fields and entanglement in finite spin systems Cerezo de la Roca, Marco Vinicio Sebastián Rossignoli, Raúl Dante Canosa, Norma Beatriz 2015 2024-03-20T18:16:47Z en Física We determine the conditions for the existence of nontransverse factorizing magnetic fields in general spin arrays with anisotropic XYZ couplings of arbitrary range. It is first shown that a uniform, maximally aligned, completely separable eigenstate can exist just for fields hs parallel to a principal plane and forming four straight lines in the field space, with the alignment direction different from that of hs and determined by the anisotropy. Such a state always becomes a nondegenerate ground state for sufficiently strong (yet finite) fields along these lines, in both ferromagnetic and antiferromagnetic-type systems. In antiferromagnetic chains, this field coexists with the nontransverse factorizing field h i s associated with a degenerate N´eel-type separable ground state, which is shown to arise at a level crossing in a finite chain. It is also demonstrated for arbitrary spin that pairwise entanglement reaches full range in the vicinity of both hs and h i s , vanishing at hs but approaching small yet finite side limits at h i s , which are analytically determined. The behavior of the block entropy and entanglement spectrum in their vicinity is also analyzed. Departamento de Física Articulo Articulo http://creativecommons.org/licenses/by/4.0/ Creative Commons Attribution 4.0 International (CC BY 4.0) application/pdf
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Física
spellingShingle Física
Cerezo de la Roca, Marco Vinicio Sebastián
Rossignoli, Raúl Dante
Canosa, Norma Beatriz
Nontransverse factorizing fields and entanglement in finite spin systems
topic_facet Física
description We determine the conditions for the existence of nontransverse factorizing magnetic fields in general spin arrays with anisotropic XYZ couplings of arbitrary range. It is first shown that a uniform, maximally aligned, completely separable eigenstate can exist just for fields hs parallel to a principal plane and forming four straight lines in the field space, with the alignment direction different from that of hs and determined by the anisotropy. Such a state always becomes a nondegenerate ground state for sufficiently strong (yet finite) fields along these lines, in both ferromagnetic and antiferromagnetic-type systems. In antiferromagnetic chains, this field coexists with the nontransverse factorizing field h i s associated with a degenerate N´eel-type separable ground state, which is shown to arise at a level crossing in a finite chain. It is also demonstrated for arbitrary spin that pairwise entanglement reaches full range in the vicinity of both hs and h i s , vanishing at hs but approaching small yet finite side limits at h i s , which are analytically determined. The behavior of the block entropy and entanglement spectrum in their vicinity is also analyzed.
format Articulo
Articulo
author Cerezo de la Roca, Marco Vinicio Sebastián
Rossignoli, Raúl Dante
Canosa, Norma Beatriz
author_facet Cerezo de la Roca, Marco Vinicio Sebastián
Rossignoli, Raúl Dante
Canosa, Norma Beatriz
author_sort Cerezo de la Roca, Marco Vinicio Sebastián
title Nontransverse factorizing fields and entanglement in finite spin systems
title_short Nontransverse factorizing fields and entanglement in finite spin systems
title_full Nontransverse factorizing fields and entanglement in finite spin systems
title_fullStr Nontransverse factorizing fields and entanglement in finite spin systems
title_full_unstemmed Nontransverse factorizing fields and entanglement in finite spin systems
title_sort nontransverse factorizing fields and entanglement in finite spin systems
publishDate 2015
url http://sedici.unlp.edu.ar/handle/10915/164079
work_keys_str_mv AT cerezodelarocamarcoviniciosebastian nontransversefactorizingfieldsandentanglementinfinitespinsystems
AT rossignolirauldante nontransversefactorizingfieldsandentanglementinfinitespinsystems
AT canosanormabeatriz nontransversefactorizingfieldsandentanglementinfinitespinsystems
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