Title

May The Linewidth Be Much Narrower Than Transition Probabilities?

Abstract

Summary form only given. Weisskopf-Wigner theory of radiative and collisional broadening gives for the linewidth Γ (HWHM): Γ≥(w1+w2)/2. Here w1, w2 are the decay probabilities for the levels 1,2. The easiest (albeit not quite rigorous) way to memorize (1) is to assume that the amplitudes c1(t), c2(t) of states 1 and 2 are decaying as exp(-w1t/2), exp(-w2t/2), and thus ρ21= goes as exp(-Γt/2) with Γ=(w1+w2)/2. Addition of any collisional phase shifts between levels 1 and 2 can only increase Γ. This work answer the following question. Without assumption of any particular model of physical system, what are the ultimate limitations that follow from the non-negativity condition?.

Publication Date

1-1-2001

Publication Title

Technical Digest - Summaries of Papers Presented at the Quantum Electronics and Laser Science Conference, QELS 2001

Number of Pages

97-98

Document Type

Article; Proceedings Paper

Personal Identifier

scopus

DOI Link

https://doi.org/10.1109/QELS.2001.961906

Socpus ID

84958259211 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/84958259211

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