Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Chebyshev expansion of spectral functions using restricted Boltzmann
  machines   Calculating the spectral function of two dimensional systems is arguably one
of the most pressing challenges in modern computational condensed matter
physics. While efficient techniques are available in lower dimensions, two
dimensional systems present insurmountable hurdles, ranging from the sign
problem in quantum Monte Carlo (MC), to the entanglement area law in tensor
network based methods. We hereby present a variational approach based on a
Chebyshev expansion of the spectral function and a neural network
representation for the wave functions. The Chebyshev moments are obtained by
recursively applying the Hamiltonian and projecting on the space of variational
states using a modified natural gradient descent method. We compare this
approach with a modified approximation of the spectral function which uses a
Krylov subspace constructed from the "Chebyshev wave-functions". We present
results for the one-dimensional and two-dimensional Heisenberg model on the
square lattice, and compare to those obtained by other methods in the
literature.

10
The categories of this paper are: q-bio
8
The categories of this paper are: hep-ex
0
The categories of this paper are: hep-ph
35
The categories of this paper are: mtrl-th
27
The categories of this paper are: comp-gas
7
The categories of this paper are: hep-th
25
The categories of this paper are: patt-sol
23
The categories of this paper are: solv-int
21
The categories of this paper are: adap-org
17
The categories of this paper are: q-fin
33
The categories of this paper are: plasm-ph
26
The categories of this paper are: bayes-an
12
The categories of this paper are: nucl-th
37
The categories of this paper are: supr-con
14
The categories of this paper are: math-ph
13
The categories of this paper are: quant-ph