## 抄録

Stochastic treatments of magnetic resonance spectroscopy and optical spectroscopy require evaluations of functions such as exp(i0tQ _{s}ds), 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.

本文言語 | English |
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論文番号 | 011130 |

ジャーナル | Physical Review E - Statistical, Nonlinear, and Soft Matter Physics |

巻 | 86 |

号 | 1 |

DOI | |

出版ステータス | Published - 2012 7 26 |

## ASJC Scopus subject areas

- 統計物理学および非線形物理学
- 統計学および確率
- 凝縮系物理学