Theory on cooperative quantum transitions of three identical lanthanide ions

Qin Weiping, Sin Cholnam, Liu Zhenyu, Qin Guanshi, Wu Changfeng

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9 Scopus citations

Abstract

Recently, we observed ultraviolet luminescence in CaF2:Yb 3+ under the excitation of a 980 nm laser. In this paper, cooperative transition theory of three identical lanthanide ions is built through perturbed wave functions of a three-body system with electric multipole interactions. The theoretical results show that d-dd-dq and crystal field effected d-dd-dfd are the main mechanisms in the triple transition processes. The transition rate ratio of Yb3+-dimers and Yb 3+ -trimers in an Yb 3+ -hexamer is calculated to be 1.86 × 104. This is in reasonable agreement with the experimentally obtained cooperative luminescence intensity ratio of 2.0 × 104 in CaF2:Yb3+ under the excitation of a 980 nm laser.

Original languageEnglish
Pages (from-to)303-308
Number of pages6
JournalJournal of the Optical Society of America B: Optical Physics
Volume32
Issue number2
DOIs
StatePublished - 1 Feb 2015
Externally publishedYes

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