Spread of highly localized wavepacket in the tightbinding lattice: Entropic and informationtheoretical characterization
Abstract
The spread of a wavepacket (or its deformation) is a very important topic in quantum mechanics. Understanding this phenomenon is relevant in connection with the study of diverse physical systems. In this paper we apply various 'spreading measures' to characterize the evolution of an initially localized wavepacket in a tightbinding lattice, with special emphasis on informationtheoretical measures. We investigate the behavior of both the probability distribution associated with the wave packet and the concomitant probability current. Complexity measures based upon Renyi entropies appear to be particularly good descriptors of the details of the delocalization process.  Highlights: > Spread of highly localized wavepacket in the tightbinding lattice. > Entropic and informationtheoretical characterization is used to understand the delocalization. > The behavior of both the probability distribution and the concomitant probability current is investigated. > Renyi entropies appear to be good descriptors of the details of the delocalization process.
 Authors:

 Departamento de Fisica, Universidad Catolica del Norte, Avenida Angamos 0610, Antofagasta (Chile)
 Publication Date:
 OSTI Identifier:
 21583294
 Resource Type:
 Journal Article
 Journal Name:
 Annals of Physics (New York)
 Additional Journal Information:
 Journal Volume: 326; Journal Issue: 10; Other Information: DOI: 10.1016/j.aop.2011.07.003; PII: S00034916(11)001126; Copyright (c) 2011 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Journal ID: ISSN 00034916
 Country of Publication:
 United States
 Language:
 English
 Subject:
 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; DEFORMATION; DISTRIBUTION; ENTROPY; PROBABILITY; QUANTUM MECHANICS; WAVE PACKETS; MECHANICS; PHYSICAL PROPERTIES; THERMODYNAMIC PROPERTIES
Citation Formats
Cuevas, F A, Curilef, S, Plastino, A.R., Email: arplastino@ugr.es, and Instituto Carlos I, Universidad de Granada, Granada. Spread of highly localized wavepacket in the tightbinding lattice: Entropic and informationtheoretical characterization. United States: N. p., 2011.
Web. doi:10.1016/j.aop.2011.07.003.
Cuevas, F A, Curilef, S, Plastino, A.R., Email: arplastino@ugr.es, & Instituto Carlos I, Universidad de Granada, Granada. Spread of highly localized wavepacket in the tightbinding lattice: Entropic and informationtheoretical characterization. United States. doi:10.1016/j.aop.2011.07.003.
Cuevas, F A, Curilef, S, Plastino, A.R., Email: arplastino@ugr.es, and Instituto Carlos I, Universidad de Granada, Granada. Sat .
"Spread of highly localized wavepacket in the tightbinding lattice: Entropic and informationtheoretical characterization". United States. doi:10.1016/j.aop.2011.07.003.
@article{osti_21583294,
title = {Spread of highly localized wavepacket in the tightbinding lattice: Entropic and informationtheoretical characterization},
author = {Cuevas, F A and Curilef, S and Plastino, A.R., Email: arplastino@ugr.es and Instituto Carlos I, Universidad de Granada, Granada},
abstractNote = {The spread of a wavepacket (or its deformation) is a very important topic in quantum mechanics. Understanding this phenomenon is relevant in connection with the study of diverse physical systems. In this paper we apply various 'spreading measures' to characterize the evolution of an initially localized wavepacket in a tightbinding lattice, with special emphasis on informationtheoretical measures. We investigate the behavior of both the probability distribution associated with the wave packet and the concomitant probability current. Complexity measures based upon Renyi entropies appear to be particularly good descriptors of the details of the delocalization process.  Highlights: > Spread of highly localized wavepacket in the tightbinding lattice. > Entropic and informationtheoretical characterization is used to understand the delocalization. > The behavior of both the probability distribution and the concomitant probability current is investigated. > Renyi entropies appear to be good descriptors of the details of the delocalization process.},
doi = {10.1016/j.aop.2011.07.003},
journal = {Annals of Physics (New York)},
issn = {00034916},
number = 10,
volume = 326,
place = {United States},
year = {2011},
month = {10}
}