Artículo
Entanglement and the process of measuring the position of a quantum particle
Fecha de publicación:
03/2015
Editorial:
Elsevier
Revista:
Annals Of Physics (new York)
ISSN:
0003-4916
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
We explore the entanglement-related features exhibited by the dynamics of a composite quantum system consisting of a particle and an apparatus (here referred to as the "pointer") that measures the position of the particle. We consider measurements of finite duration, and also the limit case of instantaneous measurements. We investigate the time evolution of the quantum entanglement between the particle and the pointer, with special emphasis on the final entanglement associated with the limit case of an impulsive interaction. We consider entanglement indicators based on the expectation values of an appropriate family of observables, and also an entanglement measure computed on particular exact analytical solutions of the particle-pointer Schrödinger equation. The general behavior exhibited by the entanglement indicators is consistent with that shown by the entanglement measure evaluated on particular analytical solutions of the Schrödinger equation. In the limit of instantaneous measurements the system´s entanglement dynamics corresponds to that of an ideal quantum measurement process. On the contrary, we show that the entanglementevolution corresponding to measurements of finite duration departs in important ways from the behavior associated with ideal measurements. In particular, highly localized initial states of the particle lead to highly entangled final states of the particle-pointer system. This indicates that the above mentioned initial states, in spite of having an arbitrarily small position uncertainty, are not left unchanged by a finite-duration position measurement process.
Palabras clave:
Entanglement
,
Quantum Dynamics
,
Quantum Measurement
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Articulos(SEDE CENTRAL)
Articulos de SEDE CENTRAL
Articulos de SEDE CENTRAL
Citación
Apel, V. M.; Curilef, S.; Plastino, Ángel Ricardo; Entanglement and the process of measuring the position of a quantum particle; Elsevier; Annals Of Physics (new York); 354; 3-2015; 570-589
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