Entanglement between distant qubits in cyclic XX chains

We evaluate the exact concurrence between any two spins in a cyclic XX chain of n spins placed in a uniform transverse magnetic field, at both zero and finite temperature, by means of the Jordan-Wigner transformation plus a number-parity-projected statistics. It is shown that, while at T = 0 there i...

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Detalles Bibliográficos
Autores principales: Canosa, Norma Beatriz, Rossignoli, Raúl Dante
Formato: Articulo
Lenguaje:Inglés
Publicado: 2007
Materias:
Física
Quantum entanglement
Physics
Limit (mathematics)
Antiferromagnetism
Field (physics)
Qubit
Condensed matter physics
Zero (complex analysis)
Spins
Thermodynamic limit
Quantum mechanics
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/125934
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-125934
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
Limit (mathematics)
Antiferromagnetism
Field (physics)
Qubit
Condensed matter physics
Zero (complex analysis)
Spins
Thermodynamic limit
Quantum mechanics
spellingShingle Física
Quantum entanglement
Physics
Limit (mathematics)
Antiferromagnetism
Field (physics)
Qubit
Condensed matter physics
Zero (complex analysis)
Spins
Thermodynamic limit
Quantum mechanics
Canosa, Norma Beatriz
Rossignoli, Raúl Dante
Entanglement between distant qubits in cyclic XX chains
topic_facet Física
Quantum entanglement
Physics
Limit (mathematics)
Antiferromagnetism
Field (physics)
Qubit
Condensed matter physics
Zero (complex analysis)
Spins
Thermodynamic limit
Quantum mechanics
description We evaluate the exact concurrence between any two spins in a cyclic XX chain of n spins placed in a uniform transverse magnetic field, at both zero and finite temperature, by means of the Jordan-Wigner transformation plus a number-parity-projected statistics. It is shown that, while at T = 0 there is always entanglement between any two spins in a narrow field interval before the transition to the aligned state, at low but nonzero temperatures the entanglement remains nonzero for arbitrarily high fields, for any pair separation L, although its magnitude decreases exponentially with increasing field. It is also demonstrated that the associated limit temperatures approach a constant nonzero value in this limit, which decreases as L⁻² for L ⪡ n , but exhibit special finite-size effects for distant qubits (L ≈ n ∕ 2) . Related aspects such as the different behavior of even and odd antiferromagnetic chains, the existence of n ground-state transitions, and the thermodynamic limit n → ∞ are also discussed.
format Articulo
Articulo
author Canosa, Norma Beatriz
Rossignoli, Raúl Dante
author_facet Canosa, Norma Beatriz
Rossignoli, Raúl Dante
author_sort Canosa, Norma Beatriz
title Entanglement between distant qubits in cyclic XX chains
title_short Entanglement between distant qubits in cyclic XX chains
title_full Entanglement between distant qubits in cyclic XX chains
title_fullStr Entanglement between distant qubits in cyclic XX chains
title_full_unstemmed Entanglement between distant qubits in cyclic XX chains
title_sort entanglement between distant qubits in cyclic xx chains
publishDate 2007
url http://sedici.unlp.edu.ar/handle/10915/125934
work_keys_str_mv AT canosanormabeatriz entanglementbetweendistantqubitsincyclicxxchains
AT rossignolirauldante entanglementbetweendistantqubitsincyclicxxchains
bdutipo_str Repositorios
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