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Title: Spread of highly localized wave-packet in the tight-binding lattice: Entropic and information-theoretical characterization

Abstract

The spread of a wave-packet (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 wave-packet in a tight-binding lattice, with special emphasis on information-theoretical 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 wave-packet in the tight-binding lattice. > Entropic and information-theoretical 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:
 [1];  [1]
  1. 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: S0003-4916(11)00112-6; Copyright (c) 2011 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Journal ID: ISSN 0003-4916
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., E-mail: arplastino@ugr.es, and Instituto Carlos I, Universidad de Granada, Granada. Spread of highly localized wave-packet in the tight-binding lattice: Entropic and information-theoretical characterization. United States: N. p., 2011. Web. doi:10.1016/j.aop.2011.07.003.
Cuevas, F A, Curilef, S, Plastino, A.R., E-mail: arplastino@ugr.es, & Instituto Carlos I, Universidad de Granada, Granada. Spread of highly localized wave-packet in the tight-binding lattice: Entropic and information-theoretical characterization. United States. doi:10.1016/j.aop.2011.07.003.
Cuevas, F A, Curilef, S, Plastino, A.R., E-mail: arplastino@ugr.es, and Instituto Carlos I, Universidad de Granada, Granada. Sat . "Spread of highly localized wave-packet in the tight-binding lattice: Entropic and information-theoretical characterization". United States. doi:10.1016/j.aop.2011.07.003.
@article{osti_21583294,
title = {Spread of highly localized wave-packet in the tight-binding lattice: Entropic and information-theoretical characterization},
author = {Cuevas, F A and Curilef, S and Plastino, A.R., E-mail: arplastino@ugr.es and Instituto Carlos I, Universidad de Granada, Granada},
abstractNote = {The spread of a wave-packet (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 wave-packet in a tight-binding lattice, with special emphasis on information-theoretical 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 wave-packet in the tight-binding lattice. > Entropic and information-theoretical 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 = {0003-4916},
number = 10,
volume = 326,
place = {United States},
year = {2011},
month = {10}
}