Non-transverse factorizing fields and entanglement in finite spin systems

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We determine the conditions for the existence of non-transverse factorizing magnetic fields in general spin arrays with anisotropic XY Z 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
quantum spin systems
entanglement
factorization
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/79183
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SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-79183
record_format dspace
spelling I19-R120-10915-791832023-06-15T15:28:55Z http://sedici.unlp.edu.ar/handle/10915/79183 issn:2469-9969 Non-transverse factorizing fields and entanglement in finite spin systems Cerezo de la Roca, Marco Vinicio Sebastián Rossignoli, Raúl Dante Canosa, Norma Beatriz 2015 2019-08-15T13:50:25Z en Física quantum spin systems entanglement factorization We determine the conditions for the existence of non-transverse factorizing magnetic fields in general spin arrays with anisotropic XY Z 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 field space, with the alignment direction different from that of hs and determined by the anisotropy. Such state always becomes a non-degenerate ground state (GS) for sufficiently strong (yet finite) fields along these lines, in both ferromagnetic (FM) and antiferromagnetic (AFM) type systems. In AFM chains, this field coexists with the nontransverse factorizing field h′ s associated with a degenerate N´eel-type separable GS, 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′ s, vanishing at hs but approaching small yet finite side-limits at h′ s, which are analytically determined. The behavior of the block entropy and entanglement spectrum in their vicinity is also analyzed. Facultad de Ciencias Exactas Instituto de Física La Plata Articulo Articulo http://creativecommons.org/licenses/by-nc-sa/4.0/ Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 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
quantum spin systems
entanglement
factorization
spellingShingle Física
quantum spin systems
entanglement
factorization
Cerezo de la Roca, Marco Vinicio Sebastián
Rossignoli, Raúl Dante
Canosa, Norma Beatriz
Non-transverse factorizing fields and entanglement in finite spin systems
topic_facet Física
quantum spin systems
entanglement
factorization
description We determine the conditions for the existence of non-transverse factorizing magnetic fields in general spin arrays with anisotropic XY Z 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 field space, with the alignment direction different from that of hs and determined by the anisotropy. Such state always becomes a non-degenerate ground state (GS) for sufficiently strong (yet finite) fields along these lines, in both ferromagnetic (FM) and antiferromagnetic (AFM) type systems. In AFM chains, this field coexists with the nontransverse factorizing field h′ s associated with a degenerate N´eel-type separable GS, 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′ s, vanishing at hs but approaching small yet finite side-limits at h′ 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 Non-transverse factorizing fields and entanglement in finite spin systems
title_short Non-transverse factorizing fields and entanglement in finite spin systems
title_full Non-transverse factorizing fields and entanglement in finite spin systems
title_fullStr Non-transverse factorizing fields and entanglement in finite spin systems
title_full_unstemmed Non-transverse factorizing fields and entanglement in finite spin systems
title_sort non-transverse factorizing fields and entanglement in finite spin systems
publishDate 2015
url http://sedici.unlp.edu.ar/handle/10915/79183
work_keys_str_mv AT cerezodelarocamarcoviniciosebastian nontransversefactorizingfieldsandentanglementinfinitespinsystems
AT rossignolirauldante nontransversefactorizingfieldsandentanglementinfinitespinsystems
AT canosanormabeatriz nontransversefactorizingfieldsandentanglementinfinitespinsystems
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