Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantizing L\'evy flights   The Caldeira-Leggett model of quantum Brownian motion is generalized using a
generic velocity-dependent coupling. That leads to the description of a set of
models able to capture Markovian and non-Markovian versions of Brownian and
L\'evy statistics, depending on the functional form of the coupling and on the
spectral function of the reservoir. One specific coupling force is found that
establishes a connection with L\'evy statistics of cold atoms in
\textit{Sisyphus} laser cooling. In the low-velocity limit, this also gives
rise to additional inertia of the Brownian particle, reproducing the
Abraham-Lorentz equation from first principles for a superohmic bath. Through
path-integral quantization in Euclidean time, the environment is integrated
out, leaving a set of non-local effective actions. These results further serve
as starting points for several numerical calculations, particularly decoherence
properties of non-ohmic baths.

26
The categories of this paper are: bayes-an
17
The categories of this paper are: q-fin
3
The categories of this paper are: physics
5
The categories of this paper are: gr-qc
29
The categories of this paper are: funct-an
36
The categories of this paper are: cmp-lg
12
The categories of this paper are: nucl-th
37
The categories of this paper are: supr-con
24
The categories of this paper are: dg-ga
0
The categories of this paper are: hep-ph
32
The categories of this paper are: atom-ph
6
The categories of this paper are: astro-ph
23
The categories of this paper are: solv-int
7
The categories of this paper are: hep-th
9
The categories of this paper are: nlin
22
The categories of this paper are: chao-dyn