Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Real-time Quantum evolution in the Classical approximation and beyond   With the goal in mind of deriving a method to compute quantum corrections for
the real-time evolution in quantum field theory, we analyze the problem from
the perspective of the Wigner function. We argue that this provides the most
natural way to justify and extend the classical approximation. A simple
proposal is presented that can allow to give systematic quantum corrections to
the evolution of expectation values and/or an estimate of the errors committed
when using the classical approximation. The method is applied to the case of a
few degrees of freedom and compared with other methods and with the exact
quantum results. An analysis of the dependence of the numerical effort involved
as a function of the number of variables is given, which allow us to be
optimistic about its applicability in a quantum field theoretical context.

27
The categories of this paper are: comp-gas
28
The categories of this paper are: alg-geom
9
The categories of this paper are: nlin
19
The categories of this paper are: eess
15
The categories of this paper are: nucl-ex
22
The categories of this paper are: chao-dyn
11
The categories of this paper are: hep-lat
12
The categories of this paper are: nucl-th
23
The categories of this paper are: solv-int
4
The categories of this paper are: cond-mat
33
The categories of this paper are: plasm-ph
32
The categories of this paper are: atom-ph
37
The categories of this paper are: supr-con
34
The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio
35
The categories of this paper are: mtrl-th