Spectrum of two-level systems with discrete frequency fluctuations

Yoav Sagi, Rami Pugatch, Ido Almog, Nir Davidson

Research output: Contribution to journalArticlepeer-review

11 Scopus citations


We study, theoretically and experimentally, an ensemble of two-level systems coupled to an environment which induces random jumps in their resonant frequency. We present a closed-form formula for the spectrum in terms of the resonant frequency distribution and the Poisson rate constant. For a normal distribution the spectrum deviates from a generalized Gumbel function, a well-known result for continuous stochastic Gaussian processes. We perform experiments with optically trapped cold Rb87 atoms and show that the predictions of our theory for a 3D harmonic trap match the measured spectra without fitting parameters.

Original languageEnglish
Article number253003
JournalPhysical Review Letters
Issue number25
StatePublished - 25 Jun 2010
Externally publishedYes

ASJC Scopus subject areas

  • General Physics and Astronomy


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