Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
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
Identifiers
URN: urn:nbn:se:du-11213DOI: 10.1103/PhysRevA.68.033607ISI: 000185716700094OAI: oai:DiVA.org:du-11213DiVA: diva2:565610
Available from: 2012-11-07 Created: 2012-11-07 Last updated: 2017-12-07Bibliographically approved

Open Access in DiVA

fulltext(1334 kB)39 downloads
File information
File name FULLTEXT01.pdfFile size 1334 kBChecksum SHA-512
10c7fe5c25509b1440e14b532eb52da2d8aaee52a117c696a1034ac242ac6c02ace6ece19e6616f6e5504a552267ab56500b29a99c4691f9d77d9859d7dc8669
Type fulltextMimetype application/pdf

Other links

Publisher's full text

Search in DiVA

By author/editor
Jääskeläinen, Markku
In the same journal
Physical Review A. Atomic, Molecular, and Optical Physics
Atom and Molecular Physics and Optics

Search outside of DiVA

GoogleGoogle Scholar
Total: 39 downloads
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

doi
urn-nbn

Altmetric score

doi
urn-nbn
Total: 43 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf