Factorization and entanglement in general XYZ spin arrays in nonuniform transverse fields

We determine the conditions for the existence of a pair of degenerate parity breaking separable eigenstates in general arrays of arbitrary spins connected through XYZ couplings of arbitrary range and placed in a transverse field, not necessarily uniform. Sufficient conditions under which they are gr...

Descripción completa

Guardado en:
Detalles Bibliográficos
Autores principales: Rossignoli, Raúl Dante, Canosa, Norma Beatriz, Matera, Juan Mauricio
Formato: Articulo
Lenguaje:Inglés
Publicado: 2009
Materias:
Física
Quantum entanglement
Physics
Qubit
Parity (physics)
Spins
Spin (physics)
Quantum mechanics
Ground state
Separable space
Degenerate energy levels
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/125914
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-125914
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
Qubit
Parity (physics)
Spins
Spin (physics)
Quantum mechanics
Ground state
Separable space
Degenerate energy levels
spellingShingle Física
Quantum entanglement
Physics
Qubit
Parity (physics)
Spins
Spin (physics)
Quantum mechanics
Ground state
Separable space
Degenerate energy levels
Rossignoli, Raúl Dante
Canosa, Norma Beatriz
Matera, Juan Mauricio
Factorization and entanglement in general XYZ spin arrays in nonuniform transverse fields
topic_facet Física
Quantum entanglement
Physics
Qubit
Parity (physics)
Spins
Spin (physics)
Quantum mechanics
Ground state
Separable space
Degenerate energy levels
description We determine the conditions for the existence of a pair of degenerate parity breaking separable eigenstates in general arrays of arbitrary spins connected through XYZ couplings of arbitrary range and placed in a transverse field, not necessarily uniform. Sufficient conditions under which they are ground states are also provided. It is then shown that in finite chains, the associated definite parity states, which represent the actual ground state in the immediate vicinity of separability, can exhibit entanglement between any two spins regardless of the coupling range or separation, with the reduced state of any two subsystems equivalent to that of pair of qubits in an entangled mixed state. The corresponding concurrences and negativities are exactly determined. The same properties persist in the mixture of both definite parity states. These effects become specially relevant in systems close to the XXZ limit. The possibility of field induced alternating separable solutions with controllable entanglement side limits is also discussed. Illustrative numerical results for the negativity between the first and the j<sup>th</sup> spin in an open spin <i>s</i> chain for different values of <i>s</i> and <i>j</i> are as well provided.
format Articulo
Articulo
author Rossignoli, Raúl Dante
Canosa, Norma Beatriz
Matera, Juan Mauricio
author_facet Rossignoli, Raúl Dante
Canosa, Norma Beatriz
Matera, Juan Mauricio
author_sort Rossignoli, Raúl Dante
title Factorization and entanglement in general XYZ spin arrays in nonuniform transverse fields
title_short Factorization and entanglement in general XYZ spin arrays in nonuniform transverse fields
title_full Factorization and entanglement in general XYZ spin arrays in nonuniform transverse fields
title_fullStr Factorization and entanglement in general XYZ spin arrays in nonuniform transverse fields
title_full_unstemmed Factorization and entanglement in general XYZ spin arrays in nonuniform transverse fields
title_sort factorization and entanglement in general xyz spin arrays in nonuniform transverse fields
publishDate 2009
url http://sedici.unlp.edu.ar/handle/10915/125914
work_keys_str_mv AT rossignolirauldante factorizationandentanglementingeneralxyzspinarraysinnonuniformtransversefields
AT canosanormabeatriz factorizationandentanglementingeneralxyzspinarraysinnonuniformtransversefields
AT materajuanmauricio factorizationandentanglementingeneralxyzspinarraysinnonuniformtransversefields
bdutipo_str Repositorios
_version_ 1764820452487725058

Ejemplares similares