Upper bounds for the Poincaré recurrence time in quantum mixed states
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Upper bounds for the Poincaré recurrence time in quantum mixed statesFecha de publicación
2017-04Editor
IOP Publishing Ltd.Cita bibliográfica
GIMENO, Vicent; SOTOCA, José M. Upper bounds for the Poincaré recurrence time in quantum mixed states. Journal of Physics A: Mathematical and Theoretical, 2017, vol. 50, no 18, p. 185302.Tipo de documento
info:eu-repo/semantics/articleVersión de la editorial
http://iopscience.iop.org/article/10.1088/1751-8121/aa67fe/metaVersión
info:eu-repo/semantics/acceptedVersionPalabras clave / Materias
Resumen
In this paper we use geometric techniques to provide upper bounds for the Poincaré recurrence time of a quantum mixed state with a discrete spectrum of energies. We obtain two types of upper bounds. One of them depends ... [+]
In this paper we use geometric techniques to provide upper bounds for the Poincaré recurrence time of a quantum mixed state with a discrete spectrum of energies. We obtain two types of upper bounds. One of them depends on the uncertainty in the energy or on the average of the gap of energies and extends previous results obtained for pure states. The other upper bound depends only on the number of relevant states. The first upper bound tends to zero at the classical limit, while the other bound is related with the number of relevant states and survives at the classical limit. [-]
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Journal of Physics A: Mathematical and Theoretical, April 2017, Volume 50, Number 18Derechos de acceso
© 2017 IOP Publishing Ltd.
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