Dephasing by a continuous-time random walk process.
Dephasing by a continuous-time random walk process.
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通过连续时间随机游走过程进行移相。
DOI：
10.1103/physreve.86.011130
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发表时间：
2012
期刊：
影响因子：
--
通讯作者：
Y. Tanimura
中科院分区：
文献类型：
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作者：
Daniel M. Packwood;Y. Tanimura
磁共振光谱和光谱的随机处理需要对函数进行评估，例如（exp（i（0）（t）Q（s）ds）），其中t是时间，Q（s）是时间s处的随机过程的值，并且角括号表示系综平均。本文给出了这些功能的情况下，Q是一个连续时间的随机游动过程的准确评估。连续时间随机游走描述了一个在时间上经历缓慢阶跃变化的环境。它也有一个定义良好的高斯极限，因此允许在一个单一的框架内研究非高斯和高斯随机动力学。我们将结果应用于从P掺杂Si半导体的退相数据（在其他地方收集的数据）中提取量子比特-晶格相互作用参数，并计算经历随机频率调制的三能级谐振子的二维谱。
Stochastic treatments of magnetic resonance spectroscopy and optical spectroscopy require evaluations of functions such as (exp(i ∫(0)(t) Q(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.