On the connection between Complementarity and Uncertainty Principles in the Mach Zehnder interferometric setting

We revisit the connection between the complementarity and uncertainty principles of quantum mechanics within the framework of Mach–Zehnder interferometry. We focus our attention on the trade-off relation between complementary path information and fringe visibility. This relation is equivalent to the...

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Autores principales: Bosyk, Gustavo Martín, Portesi, Mariela Adelina, Holik, Federico Hernán, Plastino, Ángel Luis
Formato: Articulo Preprint
Lenguaje:Inglés
Publicado: 2013
Materias:
Ciencias Exactas
Física
Wave–particle duality
Complementarity
Uncertainty relation
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/131347
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-131347
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Ciencias Exactas
Física
Wave–particle duality
Complementarity
Uncertainty relation
spellingShingle Ciencias Exactas
Física
Wave–particle duality
Complementarity
Uncertainty relation
Bosyk, Gustavo Martín
Portesi, Mariela Adelina
Holik, Federico Hernán
Plastino, Ángel Luis
On the connection between Complementarity and Uncertainty Principles in the Mach Zehnder interferometric setting
topic_facet Ciencias Exactas
Física
Wave–particle duality
Complementarity
Uncertainty relation
description We revisit the connection between the complementarity and uncertainty principles of quantum mechanics within the framework of Mach–Zehnder interferometry. We focus our attention on the trade-off relation between complementary path information and fringe visibility. This relation is equivalent to the uncertainty relation of Schrodinger and Robertson for a suitably chosen pair of observables. We show that it is equivalent as well to the uncertainty inequality provided by Landau and Pollak. We also study the relationship of this trade-off relation with a family of entropic uncertainty relations based on Renyi entropies. There is no equivalence in this case, but the different values of the entropic parameter do define regimes that provides us with a tool to discriminate between non-trivial states of minimum uncertainty. The existence of such regimes agrees with previous results of Luis (2011 Phys. Rev. A 84 034101), although their meaning was not sufficiently clear. We discuss the origin of these regimes with the intention of gaining a deeper understanding of entropic measures.
format Articulo
Preprint
author Bosyk, Gustavo Martín
Portesi, Mariela Adelina
Holik, Federico Hernán
Plastino, Ángel Luis
author_facet Bosyk, Gustavo Martín
Portesi, Mariela Adelina
Holik, Federico Hernán
Plastino, Ángel Luis
author_sort Bosyk, Gustavo Martín
title On the connection between Complementarity and Uncertainty Principles in the Mach Zehnder interferometric setting
title_short On the connection between Complementarity and Uncertainty Principles in the Mach Zehnder interferometric setting
title_full On the connection between Complementarity and Uncertainty Principles in the Mach Zehnder interferometric setting
title_fullStr On the connection between Complementarity and Uncertainty Principles in the Mach Zehnder interferometric setting
title_full_unstemmed On the connection between Complementarity and Uncertainty Principles in the Mach Zehnder interferometric setting
title_sort on the connection between complementarity and uncertainty principles in the mach zehnder interferometric setting
publishDate 2013
url http://sedici.unlp.edu.ar/handle/10915/131347
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AT holikfedericohernan ontheconnectionbetweencomplementarityanduncertaintyprinciplesinthemachzehnderinterferometricsetting
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