Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dephasing by a Continuous-Time Random Walk Process   Stochastic treatments of magnetic resonance spectroscopy and optical
spectroscopy require evaluations of functions like <exp(i int_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, step-like 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.

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The categories of this paper are: cmp-lg
17
The categories of this paper are: q-fin
24
The categories of this paper are: dg-ga
33
The categories of this paper are: plasm-ph
32
The categories of this paper are: atom-ph
22
The categories of this paper are: chao-dyn
23
The categories of this paper are: solv-int
15
The categories of this paper are: nucl-ex
12
The categories of this paper are: nucl-th
9
The categories of this paper are: nlin
29
The categories of this paper are: funct-an
16
The categories of this paper are: stat
28
The categories of this paper are: alg-geom
35
The categories of this paper are: mtrl-th
30
The categories of this paper are: q-alg
6
The categories of this paper are: astro-ph