Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fully Algebraic and Self-consistent Effective Dynamics in a Static
  Quantum Embedding   Quantum embedding approaches involve the self-consistent optimization of a
local fragment of a strongly correlated system, entangled with the wider
environment. The `energy-weighted' density matrix embedding theory (EwDMET) was
established recently as a way to systematically control the resolution of the
fragment-environment coupling, and allow for true quantum fluctuations over
this boundary to be self-consistently optimized within a fully static
framework. In this work, we reformulate the algorithm to ensure that EwDMET can
be considered equivalent to an optimal and rigorous truncation of the
self-consistent dynamics of dynamical mean-field theory (DMFT). A practical
limitation of these quantum embedding approaches is often a numerical fitting
of a self-consistent object defining the quantum effects. However, we show here
that in this formulation, all numerical fitting steps can be entirely
circumvented, via an effective Dyson equation in the space of truncated
dynamics. This provides a robust and analytic self-consistency for the method,
and an ability to systematically and rigorously converge to DMFT from a static,
wave function perspective. We demonstrate that this improved approach can solve
the correlated dynamics and phase transitions of the Bethe lattice Hubbard
model in infinite dimensions, as well as one- and two-dimensional Hubbard
models where we clearly show the benefits of this rapidly convergent basis for
correlation-driven fluctuations. This systematically truncated description of
the effective dynamics of the problem also allows access to quantities such as
Fermi liquid parameters and renormalized dynamics, and demonstrates a
numerically efficient, systematic convergence to the zero-temperature dynamical
mean-field theory limit.

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The categories of this paper are: mtrl-th
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The categories of this paper are: hep-th
5
The categories of this paper are: gr-qc
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The categories of this paper are: chem-ph
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The categories of this paper are: nlin
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The categories of this paper are: hep-lat
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The categories of this paper are: quant-ph
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The categories of this paper are: econ
0
The categories of this paper are: hep-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: nucl-ex
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The categories of this paper are: nucl-th
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The categories of this paper are: acc-phys
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The categories of this paper are: cs
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The categories of this paper are: eess
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The categories of this paper are: solv-int