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Localization in splitting of matter waves
Kungliga tekniska högskolan.ORCID iD: 0000-0002-8049-2425
Kungliga tekniska högskolan.
2003 (English)In: Physical Review A. Atomic, Molecular, and Optical Physics, ISSN 1050-2947, E-ISSN 1094-1622, Vol. 68, no 3, 033607Article in journal (Refereed) Published
Abstract [en]

In this paper we present an analysis of how matter waves, guided as propagating modes in potential structures, are split under adiabatic conditions. The description is formulated in terms of localized states obtained through a unitary transformation acting on the mode functions. The mathematical framework results in coupled propagation equations that are decoupled in the asymptotic regions as well before as after the split. The resulting states have the advantage of describing propagation in situations, for instance matter-wave interferometers, where local perturbations make the transverse modes of the guiding potential unsuitable as a basis. The different regimes of validity of adiabatic propagation schemes based on localized versus delocalized basis states are also outlined. Nontrivial dynamics for superposition states propagating through split potential structures is investigated through numerical simulations. For superposition states the influence of longitudinal wave-packet extension on the localization is investigated and shown to be accurately described in quantitative terms using the adiabatic formulations presented here.

Place, publisher, year, edition, pages
2003. Vol. 68, no 3, 033607
National Category
Atom and Molecular Physics and Optics
URN: urn:nbn:se:du-11213DOI: 10.1103/PhysRevA.68.033607ISI: 000185716700094OAI: diva2:565610
Available from: 2012-11-07 Created: 2012-11-07 Last updated: 2015-05-05Bibliographically approved

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Jääskeläinen, Markku
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