Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fast convergence of imaginary time evolution tensor network algorithms
  by recycling the environment   We propose an environment recycling scheme to speed up a class of tensor
network algorithms that produce an approximation to the ground state of a local
Hamiltonian by simulating an evolution in imaginary time. Specifically, we
consider the time-evolving block decimation (TEBD) algorithm applied to
infinite systems in 1D and 2D, where the ground state is encoded, respectively,
in a matrix product state (MPS) and in a projected entangled-pair state (PEPS).
An important ingredient of the TEBD algorithm (and a main computational
bottleneck, especially with PEPS in 2D) is the computation of the so-called
environment, which is used to determine how to optimally truncate the bond
indices of the tensor network so that their dimension is kept constant. In
current algorithms, the environment is computed at each step of the imaginary
time evolution, to account for the changes that the time evolution introduces
in the many-body state represented by the tensor network. Our key insight is
that close to convergence, most of the changes in the environment are due to a
change in the choice of gauge in the bond indices of the tensor network, and
not in the many-body state. Indeed, a consistent choice of gauge in the bond
indices confirms that the environment is essentially the same over many time
steps and can thus be re-used, leading to very substantial computational
savings. We demonstrate the resulting approach in 1D and 2D by computing the
ground state of the quantum Ising model in a transverse magnetic field.

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The categories of this paper are: cmp-lg
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The categories of this paper are: math-ph
15
The categories of this paper are: nucl-ex
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-lat
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The categories of this paper are: chao-dyn
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The categories of this paper are: bayes-an
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The categories of this paper are: patt-sol
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The categories of this paper are: supr-con
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The categories of this paper are: math
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The categories of this paper are: solv-int
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The categories of this paper are: q-fin
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The categories of this paper are: funct-an
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The categories of this paper are: chem-ph
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The categories of this paper are: q-alg
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The categories of this paper are: mtrl-th