Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Efficient temperature-dependent Green's function methods for realistic
  systems: using cubic spline interpolation to approximate Matsubara Green's
  functions   The popular, stable, robust and computationally inexpensive cubic spline
interpolation algorithm is adopted and used for finite temperature Green's
function calculations of realistic systems. We demonstrate that with
appropriate modifications the temperature dependence can be preserved while the
Green's function grid size can be reduced by about two orders of magnitude by
replacing the standard Matsubara frequency grid with a sparser grid and a set
of interpolation coefficients. We benchmarked the accuracy of our algorithm as
a function of a single parameter sensitive to the shape of the Green's
function. Through numerous examples, we confirmed that our algorithm can be
utilized in a systematically improvable, controlled, and black-box manner and
highly accurate one- and two-body energies and one-particle density matrices
can be obtained using only around 5% of the original grid points. Additionally,
we established that to improve accuracy by an order of magnitude, the number of
grid points needs to be doubled, whereas for the Matsubara frequency grid an
order of magnitude more grid points must be used. This suggests that realistic
calculations with large basis sets that were previously out of reach because
they required enormous grid sizes may now become feasible.

9
The categories of this paper are: nlin
27
The categories of this paper are: comp-gas
34
The categories of this paper are: chem-ph
30
The categories of this paper are: q-alg
28
The categories of this paper are: alg-geom
36
The categories of this paper are: cmp-lg
15
The categories of this paper are: nucl-ex
7
The categories of this paper are: hep-th
19
The categories of this paper are: eess
5
The categories of this paper are: gr-qc
29
The categories of this paper are: funct-an
11
The categories of this paper are: hep-lat
13
The categories of this paper are: quant-ph
8
The categories of this paper are: hep-ex
25
The categories of this paper are: patt-sol
21
The categories of this paper are: adap-org