Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Adaptive propagation of quantum few-body systems with time-dependent
  Hamiltonians   In this study, a variety of methods are tested and compared for the numerical
solution of the Schr\"odinger equation for few-body systems with explicitely
time-dependent Hamiltonians, with the aim to find the optimal one. The
configuration interaction method, generally applied to find stationary
eigenstates accurately and without approximations to the wavefunction's
structure, may also be used for the time-evolution, which results in a large
linear system of ordinary differential equations. The large basis sizes
typically present when the configuration interaction method is used calls for
efficient methods for the time evolution. Apart from efficiency, adaptivity (in
the time domain) is the other main focus in this study, such that the time step
is adjusted automatically given some requested accuracy. A method is suggested
here, based on an exponential integrator approach, combined with different ways
to implement the adaptivity, which was found to be faster than a broad variety
of other methods that were also considered.

17
The categories of this paper are: q-fin
3
The categories of this paper are: physics
1
The categories of this paper are: cs
34
The categories of this paper are: chem-ph
6
The categories of this paper are: astro-ph
19
The categories of this paper are: eess
35
The categories of this paper are: mtrl-th
22
The categories of this paper are: chao-dyn
12
The categories of this paper are: nucl-th
16
The categories of this paper are: stat
21
The categories of this paper are: adap-org
32
The categories of this paper are: atom-ph
20
The categories of this paper are: acc-phys
0
The categories of this paper are: hep-ph
2
The categories of this paper are: math
27
The categories of this paper are: comp-gas