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Pre-selection of optical transitions in rare-earth ions in crystals perspective for quantum information processing
Institute of physics, Moscow.
Linnaeus University, Faculty of Science and Engineering, School of Computer Science, Physics and Mathematics. (mathematics)
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2012 (English)In: Journal of Modern Optics, ISSN 0950-0340, E-ISSN 1362-3044, Vol. 59, no 2, 166-178 p.Article in journal (Refereed) Published
Abstract [en]

A systematic analysis of decoherence rates due to electron-phonon interactions for optical transitions of rare-earth dopant ions in crystals is presented in the frame of the point charge model. For this model, the large value of any one of the matrix elements of the unit tensor operator U((k)) of rank k for transitions within the 4f-electronic configuration, viz. U2, U4 or U6, is enough to ensure the strong optical transition between different levels, while the Stark-Stark transitions within the multiplet can be characterized by the matrix element U2 alone, the influence of elements U4, U6 being of much smaller order of magnitude and neglected. The circumstance that exactly such Stark-Stark transitions within the multiplet define the efficiency of electron-phonon interaction and, consequently, the decoherence rate (except for the case of lowest, less than approximately 2-4 K, temperatures), enables selection of optical transitions which are strong enough and at the same time are characterized by relatively small decoherence rates. Correspondingly, these optical transitions, provided that they lie in an appropriate spectral range and the gap to the nearest neighboring energy level is large enough (>500 cm(-1)) to prevent eventual fast phonon-assisted relaxation, should be considered as prospective for subsequent use in quantum informatics processing and communication. The list of such pre-selected transitions is given; the applicability area and limitations of our approach are discussed.

Place, publisher, year, edition, pages
2012. Vol. 59, no 2, 166-178 p.
Keyword [en]
spectroscopy; rare-earth ion; crystal; quantum information processing; decoherence
National Category
Mathematics
Research subject
Natural Science, Mathematics
Identifiers
URN: urn:nbn:se:lnu:diva-19070DOI: 10.1080/09500340.2011.640949ISI: 000298154100011OAI: oai:DiVA.org:lnu-19070DiVA: diva2:529327
Available from: 2012-05-30 Created: 2012-05-30 Last updated: 2012-05-30Bibliographically approved

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Basieva, Irina
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CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • 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
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