Motional broadening in ensembles with heavy-tail frequency distribution

We show that the spectrum of an ensemble of two-level systems can be broadened through ''resetting'' discrete fluctuations, in contrast to the well-known motional-narrowing effect. The broadening occurs if the ensemble frequency distribution has heavy tails with a diverging first...

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Bibliographic Details
Published in:Physical review. A, Atomic, molecular, and optical physics Atomic, molecular, and optical physics, 2011-04, Vol.83 (4), Article 043821
Main Authors: Sagi, Yoav, Pugatch, Rami, Almog, Ido, Davidson, Nir, Aizenman, Michael
Format: Article
Language:English
Subjects:
ASYMPTOTIC SOLUTIONS
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
DISTRIBUTION
FLUCTUATIONS
FREQUENCY DEPENDENCE
LINE BROADENING
LORENTZ FORCE
MATHEMATICAL SOLUTIONS
SPECTRA
VARIATIONS
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Summary:We show that the spectrum of an ensemble of two-level systems can be broadened through ''resetting'' discrete fluctuations, in contrast to the well-known motional-narrowing effect. The broadening occurs if the ensemble frequency distribution has heavy tails with a diverging first moment. The asymptotic motional broadened line shape is then a Lorentzian. In case there is a physical upper cutoff in the frequency distribution, the broadening effect may still be observed, though only up to a certain fluctuation rate.
ISSN:1050-2947
1094-1622
DOI:10.1103/PhysRevA.83.043821