@inproceedings{fa80345dc22546348917aa97a48b5289,

title = "Spectral narrowing induced by discrete frequency fluctuations",

abstract = "We study an ensemble of two level systems coupled to an environment that randomly modulates their resonant frequency. We use Poissonian statistics for the random frequency jumps and derive a closed-from formula for the spectrum in terms of the inhomogeneous frequency distribution and the Poisson rate constant. We show that for a Gaussian distribution our result asymptotically reproduces the results of the well known Kubo model. Our formula holds for any frequency distribution. In particular we calculate the spectrum of atoms in a 3D trap harmonic trap and show that motional narrowing naturally emerges. We experimentally measure this spectrum with optically trapped ^87Rb atoms and obtain a good agreement to our theory without fitting parameters. Our theory apply to a wide range of systems such as atomic ensembles, nuclear magnetic resonance spectroscopy, single molecule spectroscopy and the line-shape of lasers.",

author = "Yoav Sagi and Rami Pugatch and Ido Almog and Nir Davidson",

year = "2010",

language = "אנגלית",

volume = "55(5)",

series = "American Physical Society, 41st Annual Meeting of the APS Division of Atomic, Molecular and Optical Physics Volume 55, Number 5, March 25-29, 2010",

booktitle = "41st Annual Meeting of the APS Division of Atomic, Molecular and Optical Physics",

}