Separability and parity transitions in XYZ spin systems under nonuniform fields

We examine the existence of completely separable ground states (GS) in finite spin-s arrays with anisotropic XYZ couplings, immersed in a nonuniform magnetic field along one of the principal axes. The general conditions for their existence are determined. The analytic expressions for the separabilit...

Descripción completa

Detalles Bibliográficos
Autores principales: Canosa, Norma Beatriz, Mothe, Raphaël, Rossignoli, Raúl Dante
Formato: Articulo
Lenguaje:Inglés
Publicado: 2020
Materias:
Ciencias Exactas
Física
Phase diagrams
Quantum entanglement
Quantum phase transitions
Quantum spin models
Exact solutions for many-body systems
Quantum spin chains
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/125775
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-125775
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Ciencias Exactas
Física
Phase diagrams
Quantum entanglement
Quantum phase transitions
Quantum spin models
Exact solutions for many-body systems
Quantum spin chains
spellingShingle Ciencias Exactas
Física
Phase diagrams
Quantum entanglement
Quantum phase transitions
Quantum spin models
Exact solutions for many-body systems
Quantum spin chains
Canosa, Norma Beatriz
Mothe, Raphaël
Rossignoli, Raúl Dante
Separability and parity transitions in XYZ spin systems under nonuniform fields
topic_facet Ciencias Exactas
Física
Phase diagrams
Quantum entanglement
Quantum phase transitions
Quantum spin models
Exact solutions for many-body systems
Quantum spin chains
description We examine the existence of completely separable ground states (GS) in finite spin-s arrays with anisotropic XYZ couplings, immersed in a nonuniform magnetic field along one of the principal axes. The general conditions for their existence are determined. The analytic expressions for the separability curve in field space, and for the ensuing factorized state and GS energy, are then derived for alternating solutions, valid for any spin and size. They generalize results for uniform fields and show that nonuniform fields can induce GS factorization also in systems which do not exhibit this phenomenon in a uniform field. It is also shown that such a curve corresponds to a fundamental S<sub>z</sub>-parity transition of the GS, present for any spin and size, and that two different types of GS parity diagrams can emerge, according to the anisotropy. The role of factorization in the magnetization and entanglement of these systems is also analyzed, and analytic expressions at the borders of the factorizing curve are provided. Illustrative examples for spin pairs and chains are as well discussed.
format Articulo
Articulo
author Canosa, Norma Beatriz
Mothe, Raphaël
Rossignoli, Raúl Dante
author_facet Canosa, Norma Beatriz
Mothe, Raphaël
Rossignoli, Raúl Dante
author_sort Canosa, Norma Beatriz
title Separability and parity transitions in XYZ spin systems under nonuniform fields
title_short Separability and parity transitions in XYZ spin systems under nonuniform fields
title_full Separability and parity transitions in XYZ spin systems under nonuniform fields
title_fullStr Separability and parity transitions in XYZ spin systems under nonuniform fields
title_full_unstemmed Separability and parity transitions in XYZ spin systems under nonuniform fields
title_sort separability and parity transitions in xyz spin systems under nonuniform fields
publishDate 2020
url http://sedici.unlp.edu.ar/handle/10915/125775
work_keys_str_mv AT canosanormabeatriz separabilityandparitytransitionsinxyzspinsystemsundernonuniformfields
AT motheraphael separabilityandparitytransitionsinxyzspinsystemsundernonuniformfields
AT rossignolirauldante separabilityandparitytransitionsinxyzspinsystemsundernonuniformfields
bdutipo_str Repositorios
_version_ 1764820452207755264

Ejemplares similares