Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Numerical method for the stochastic projected Gross-Pitaevskii equation   We present a method for solving the stochastic projected Gross-Pitaevskii
equation (SPGPE) for a three-dimensional Bose gas in a harmonic-oscillator
trapping potential. The SPGPE contains the challenge of both accurately
evolving all modes in the low energy classical region of the system, and
evaluating terms from the number-conserving scattering reservoir process. We
give an accurate and efficient procedure for evaluating the scattering terms
using a Hermite-polynomial based spectral-Galerkin representation, which allows
us to precisely implement the low energy mode restriction. Stochastic
integration is performed using the weak semi-implicit Euler method. We
extensively characterize the accuracy of our method, finding a faster than
expected rate of stochastic convergence. Physical consistency of the algorithm
is demonstrated by considering thermalization of initially random states.

18
The categories of this paper are: econ
13
The categories of this paper are: quant-ph
1
The categories of this paper are: cs
5
The categories of this paper are: gr-qc
14
The categories of this paper are: math-ph
10
The categories of this paper are: q-bio
11
The categories of this paper are: hep-lat
6
The categories of this paper are: astro-ph
19
The categories of this paper are: eess
21
The categories of this paper are: adap-org
37
The categories of this paper are: supr-con
12
The categories of this paper are: nucl-th
17
The categories of this paper are: q-fin
25
The categories of this paper are: patt-sol
36
The categories of this paper are: cmp-lg
28
The categories of this paper are: alg-geom