Factorization in spin systems under general fields and separable ground-state engineering

We discuss ground-state factorization schemes in spin S arrays with general quadratic couplings under general magnetic fields, not necessarily uniform or transverse. It is shown that, given arbitrary spin alignment directions at each site, nonzero XYZ couplings between any pair and fields at each si...

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Autores principales: Cerezo de la Roca, Marco Vinicio Sebastián, Rossignoli, Raúl Dante, Canosa, Norma Beatriz
Formato: Articulo
Lenguaje:Inglés
Publicado: 2016
Materias:
Física
Ciencias Exactas
Factorization schemes
Separable states
Spin systems
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/95494
https://ri.conicet.gov.ar/11336/70692
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-95494
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Física
Ciencias Exactas
Factorization schemes
Separable states
Spin systems
spellingShingle Física
Ciencias Exactas
Factorization schemes
Separable states
Spin systems
Cerezo de la Roca, Marco Vinicio Sebastián
Rossignoli, Raúl Dante
Canosa, Norma Beatriz
Factorization in spin systems under general fields and separable ground-state engineering
topic_facet Física
Ciencias Exactas
Factorization schemes
Separable states
Spin systems
description We discuss ground-state factorization schemes in spin S arrays with general quadratic couplings under general magnetic fields, not necessarily uniform or transverse. It is shown that, given arbitrary spin alignment directions at each site, nonzero XYZ couplings between any pair and fields at each site always exist such that the ensuing Hamiltonian has an exactly separable eigenstate with the spins pointing along the specified directions. Furthermore, by suitable tuning of the fields this eigenstate can always be cooled down to a nondegenerate ground state. It is also shown that in open one-dimensional systems with fixed arbitrary first-neighbor couplings at least one separable eigenstate compatible with an arbitrarily chosen spin direction at one site is always feasible if the fields at each site can be tuned. We demonstrate as well that in the vicinity of factorization, i.e., for small perturbations in the fields or couplings, pairwise entanglement reaches full range. Some noticeable examples of factorized eigenstates are unveiled. The present results open the way for separable ground-state engineering. A notation to quantify the complexity of a given type of solution according to the required control on the system couplings and fields is introduced.
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 Factorization in spin systems under general fields and separable ground-state engineering
title_short Factorization in spin systems under general fields and separable ground-state engineering
title_full Factorization in spin systems under general fields and separable ground-state engineering
title_fullStr Factorization in spin systems under general fields and separable ground-state engineering
title_full_unstemmed Factorization in spin systems under general fields and separable ground-state engineering
title_sort factorization in spin systems under general fields and separable ground-state engineering
publishDate 2016
url http://sedici.unlp.edu.ar/handle/10915/95494
https://ri.conicet.gov.ar/11336/70692
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AT rossignolirauldante factorizationinspinsystemsundergeneralfieldsandseparablegroundstateengineering
AT canosanormabeatriz factorizationinspinsystemsundergeneralfieldsandseparablegroundstateengineering
bdutipo_str Repositorios
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