Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Revisiting the Hybrid Quantum Monte Carlo Method for Hubbard and
  Electron-Phonon Models   A unique feature of the hybrid quantum Monte Carlo (HQMC) method is the
potential to simulate negative sign free lattice fermion models with subcubic
scaling in system size. Here we will revisit the algorithm for various models.
We will show that for the Hubbard model the HQMC suffers from ergodicity issues
and unbounded forces in the effective action. Solutions to these issues can be
found in terms of a complexification of the auxiliary fields. This
implementation of the HQMC that does not attempt to regularize the fermionic
matrix so as to circumvent the aforementioned singularities does not outperform
single spin flip determinantal methods with cubic scaling. On the other hand we
will argue that there is a set of models for which the HQMC is very efficient.
This class is characterized by effective actions free of singularities. Using
the Majorana representation, we show that models such as the
Su-Schrieffer-Heeger Hamiltonian at half filling and on a bipartite lattice
belong to this class. For this specific model sub-cubic scaling is achieved.

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The categories of this paper are: q-alg
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The categories of this paper are: acc-phys
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The categories of this paper are: q-bio
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The categories of this paper are: alg-geom
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The categories of this paper are: comp-gas
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The categories of this paper are: patt-sol
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The categories of this paper are: solv-int
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The categories of this paper are: hep-th
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The categories of this paper are: astro-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: q-fin
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The categories of this paper are: eess
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The categories of this paper are: math-ph
0
The categories of this paper are: hep-ph
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The categories of this paper are: cs
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The categories of this paper are: bayes-an