Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The walk-sum method for simulating quantum many-body systems   We present the method of walk-sum to study the real-time dynamics of
interacting quantum many-body systems. The walk-sum method generates explicit
expressions for any desired pieces of an evolution operator U independently of
any others. The computational cost for evaluating any such piece at a fixed
order grows polynomially with the number of particles. Walk-sum is valid for
systems presenting long-range interactions and in any geometry. We illustrate
the method by means of two physical systems.

15
The categories of this paper are: nucl-ex
22
The categories of this paper are: chao-dyn
7
The categories of this paper are: hep-th
32
The categories of this paper are: atom-ph
36
The categories of this paper are: cmp-lg
19
The categories of this paper are: eess
8
The categories of this paper are: hep-ex
12
The categories of this paper are: nucl-th
29
The categories of this paper are: funct-an
37
The categories of this paper are: supr-con
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The categories of this paper are: nlin
18
The categories of this paper are: econ
17
The categories of this paper are: q-fin
25
The categories of this paper are: patt-sol
20
The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio