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Abstract:

We study the evolution of a system of two qubits, each of which interacts locally with a spin chain with nontrivial internal Hamiltonian. We present an exact solution to this problem and analyze the dependence of decoherence on the distance between the interaction sites. In the strong coupling regime we find that decoherence increases with increasing distance. In the weak coupling regime the dependence of decoherence with distance is not generic (i.e., it varies according to the initial state). Decoherence becomes independent of distance when the latter is over a saturation length l. Numerical results for the Ising chain suggest that the saturation scale is related to the correlation length ξ. For strong coupling we display evidence of the existence of non-Markovian effects (such as environment-induced interactions between the qubits). As a consequence the system can undergo a quasiperiodic sequence of "sudden deaths and revivals" of entanglement, with a time scale related to the distance between qubits. © 2008 The American Physical Society.

Registro:

Documento: Artículo
Título:Decoherence of Bell states by local interactions with a dynamic spin environment
Autor:Cormick, C.; Paz, J.P.
Filiación:Departamento de Física, FCEyN, Ciudad Universitaria Pabellón 1, 1428 Buenos Aires, Argentina
Palabras clave:Spin dynamics; Bell states; Correlation lengths; Decoherence; Exact solutions; Hamiltonian; Initial states; Interaction sites; Ising chains; Local interactions; Non-markovian effects; Numerica l results; Spin chains; Strong couplings; Strong-coupling regime; Time scaling; Weak-coupling regime; Flow interactions
Año:2008
Volumen:78
Número:1
DOI: http://dx.doi.org/10.1103/PhysRevA.78.012357
Título revista:Physical Review A - Atomic, Molecular, and Optical Physics
Título revista abreviado:Phys Rev A
ISSN:10502947
CODEN:PLRAA
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10502947_v78_n1_p_Cormick

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Citas:

---------- APA ----------
Cormick, C. & Paz, J.P. (2008) . Decoherence of Bell states by local interactions with a dynamic spin environment. Physical Review A - Atomic, Molecular, and Optical Physics, 78(1).
http://dx.doi.org/10.1103/PhysRevA.78.012357
---------- CHICAGO ----------
Cormick, C., Paz, J.P. "Decoherence of Bell states by local interactions with a dynamic spin environment" . Physical Review A - Atomic, Molecular, and Optical Physics 78, no. 1 (2008).
http://dx.doi.org/10.1103/PhysRevA.78.012357
---------- MLA ----------
Cormick, C., Paz, J.P. "Decoherence of Bell states by local interactions with a dynamic spin environment" . Physical Review A - Atomic, Molecular, and Optical Physics, vol. 78, no. 1, 2008.
http://dx.doi.org/10.1103/PhysRevA.78.012357
---------- VANCOUVER ----------
Cormick, C., Paz, J.P. Decoherence of Bell states by local interactions with a dynamic spin environment. Phys Rev A. 2008;78(1).
http://dx.doi.org/10.1103/PhysRevA.78.012357