Comment on "discrepancies in the resonance-fluorescence spectrum calculated with two methods"

Ficek, Zbigniew (2009) Comment on "discrepancies in the resonance-fluorescence spectrum calculated with two methods". Physical Review A - Atomic, Molecular, and Optical Physics, 79 5: 057401-1-057401-3. doi:10.1103/PhysRevA.79.057401

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Author Ficek, Zbigniew
Title Comment on "discrepancies in the resonance-fluorescence spectrum calculated with two methods"
Journal name Physical Review A - Atomic, Molecular, and Optical Physics   Check publisher's open access policy
ISSN 1050-2947
1094-1622
Publication date 2009-05-01
Year available 2009
Sub-type Critical review of research, literature review, critical commentary
DOI 10.1103/PhysRevA.79.057401
Open Access Status File (Publisher version)
Volume 79
Issue 5
Start page 057401-1
End page 057401-3
Total pages 3
Place of publication College Park, MD United States
Publisher American Physical Society
Language eng
Subject 3107 Atomic and Molecular Physics, and Optics
Abstract There are two alternative methods used in the literature to calculate the incoherent part of the spectrum of light scattered by an atomic system. In the first, one calculates the spectrum of the total light scattered by the system and obtains the incoherent part by subtracting the coherent part. In the second method, one introduces the fluctuation operators and obtains the incoherent part of the spectrum by taking the Fourier transform of the two-time correlation function of the fluctuation operators. These two methods have been recognized for years as completely equivalent for evaluating the incoherent part of the spectrum. In a recent paper, Xu [Phys. Rev. A 78, 013407 (2008)] showed that there are discrepancies between the incoherent parts of the stationary spectrum of a three-level Λ -type system calculated with these two methods. The predicted discrepancies can be severe that over a wide range of the Rabi frequencies and atomic decay rates, the spectrum calculated with the variance method can have negative values. In this Comment, we show that there are no discrepancies between these two methods. We show the equivalence of these two methods that leads to the same incoherent spectra which are positive for all frequencies independent of values of the parameters involved. We also identify the source of the discrepancy, that is, in an incorrect treatment of the incoherent part of the spectrum calculated with the two-time correlation function of the fluctuation operators.
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status UQ

Document type: Journal Article
Sub-type: Critical review of research, literature review, critical commentary
Collection: School of Mathematics and Physics
 
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