Separability and entanglement in finite dimer-type chains in general transverse fields

We determine the conditions under which general dimer-type spin chains with XYZ couplings of arbitrary range in a general transverse field will exhibit an exactly separable parity-breaking eigenstate. We also provide sufficient conditions which ensure that it will be a ground state. We then examine...

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Autores principales: Canosa, Norma Beatriz, Rossignoli, Raúl Dante, Matera, Juan Mauricio
Formato: Articulo
Lenguaje:Inglés
Publicado: 2010
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Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/125925
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id I19-R120-10915-125925
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Física
Quantum entanglement
Physics
Eigenvalues and eigenvectors
Field (physics)
Spins
Squashed entanglement
Quantum mechanics
Ground state
Quantum phase transition
Spin-½
spellingShingle Física
Quantum entanglement
Physics
Eigenvalues and eigenvectors
Field (physics)
Spins
Squashed entanglement
Quantum mechanics
Ground state
Quantum phase transition
Spin-½
Canosa, Norma Beatriz
Rossignoli, Raúl Dante
Matera, Juan Mauricio
Separability and entanglement in finite dimer-type chains in general transverse fields
topic_facet Física
Quantum entanglement
Physics
Eigenvalues and eigenvectors
Field (physics)
Spins
Squashed entanglement
Quantum mechanics
Ground state
Quantum phase transition
Spin-½
description We determine the conditions under which general dimer-type spin chains with XYZ couplings of arbitrary range in a general transverse field will exhibit an exactly separable parity-breaking eigenstate. We also provide sufficient conditions which ensure that it will be a ground state. We then examine the exact side limits at separability of the entanglement between any two spins in a finite chain, showing that in the vicinity of separability, the system will loose all signatures of dimerization, with pairwise entanglement approaching infinite range and becoming independent of separation and interaction range. The possibility of a nonuniform exactly separable ground state induced by an alternating field is also shown. As illustration, we examine the behavior of the pairwise entanglement in a finite XY dimer chain under a uniform as well as alternating field. Related aspects of the magnetization are also discussed.
format Articulo
Articulo
author Canosa, Norma Beatriz
Rossignoli, Raúl Dante
Matera, Juan Mauricio
author_facet Canosa, Norma Beatriz
Rossignoli, Raúl Dante
Matera, Juan Mauricio
author_sort Canosa, Norma Beatriz
title Separability and entanglement in finite dimer-type chains in general transverse fields
title_short Separability and entanglement in finite dimer-type chains in general transverse fields
title_full Separability and entanglement in finite dimer-type chains in general transverse fields
title_fullStr Separability and entanglement in finite dimer-type chains in general transverse fields
title_full_unstemmed Separability and entanglement in finite dimer-type chains in general transverse fields
title_sort separability and entanglement in finite dimer-type chains in general transverse fields
publishDate 2010
url http://sedici.unlp.edu.ar/handle/10915/125925
work_keys_str_mv AT canosanormabeatriz separabilityandentanglementinfinitedimertypechainsingeneraltransversefields
AT rossignolirauldante separabilityandentanglementinfinitedimertypechainsingeneraltransversefields
AT materajuanmauricio separabilityandentanglementinfinitedimertypechainsingeneraltransversefields
bdutipo_str Repositorios
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