Dephasing by a continuous-time random walk process

Daniel M. Packwood, Yoshitaka Tanimura

    Research output: Contribution to journalArticle

    2 Citations (Scopus)

    Abstract

    Stochastic treatments of magnetic resonance spectroscopy and optical spectroscopy require evaluations of functions such as exp(i0tQ sds), where t is time, Q s is the value of a stochastic process at time s, and the angular brackets denote ensemble averaging. This paper gives an exact evaluation of these functions for the case where Q is a continuous-time random walk process. The continuous-time random walk describes an environment that undergoes slow steplike changes in time. It also has a well-defined Gaussian limit and so allows for non-Gaussian and Gaussian stochastic dynamics to be studied within a single framework. We apply the results to extract qubit-lattice interaction parameters from dephasing data of P-doped Si semiconductors (data collected elsewhere) and to calculate the two-dimensional spectrum of a three-level harmonic oscillator undergoing random frequency modulations.

    Original languageEnglish
    Article number011130
    JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
    Volume86
    Issue number1
    DOIs
    Publication statusPublished - 2012 Jul 26

    ASJC Scopus subject areas

    • Statistical and Nonlinear Physics
    • Statistics and Probability
    • Condensed Matter Physics

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