Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Nonequilibrium dynamics in the one-dimensional Fermi-Hubbard model: A
  comparison of the nonequilibrium Green functions approach and the density
  matrix renormalization group method   The nonequilibrium dynamics of strongly-correlated fermions in lattice
systems have attracted considerable interest in the condensed matter and
ultracold atomic-gas communities. While experiments have made remarkable
progress in recent years, there remains a need for the further development of
theoretical tools that can account for both the nonequilibrium conditions and
strong correlations. For instance, time-dependent theoretical quantum
approaches based on the density matrix renormalization group (DMRG) methods
have been primarily applied to one-dimensional setups. Recently,
two-dimensional quantum simulations of the expansion of fermions based on
nonequilibrium Green functions (NEGF) have been presented [Schluenzen et al.,
Phys. Rev. B 93, 035107 (2016)] that showed excellent agreement with the
experiments. Here we present an extensive comparison of the NEGF approach to
numerically accurate DMRG results. The results indicate that NEGF are a
reliable theoretical tool for weak to intermediate coupling strengths in
arbitrary dimensions and make long simulations possible. This is complementary
to DMRG simulations which are particularly efficient at strong coupling.

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The categories of this paper are: hep-lat
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The categories of this paper are: adap-org
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The categories of this paper are: dg-ga
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The categories of this paper are: math-ph
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The categories of this paper are: stat
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The categories of this paper are: chem-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: acc-phys
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The categories of this paper are: funct-an
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The categories of this paper are: math
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The categories of this paper are: bayes-an
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The categories of this paper are: atom-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: econ
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The categories of this paper are: q-bio