Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Simulating the Generalized Gibbs Ensemble (GGE): a Hilbert space Monte
  Carlo approach   By combining classical Monte Carlo and Bethe ansatz techniques we devise a
numerical method to construct the Truncated Generalized Gibbs Ensemble (TGGE)
for the spin-1/2 isotropic Heisenberg ($XXX$) chain. The key idea is to sample
the Hilbert space of the model with the appropriate GGE probability measure.
The method can be extended to other integrable systems, such as the
Lieb-Liniger model. We benchmark the approach focusing on GGE expectation
values of several local observables. As finite-size effects decay exponentially
with system size, moderately large chains are sufficient to extract
thermodynamic quantities. The Monte Carlo results are in agreement with both
the Thermodynamic Bethe Ansatz (TBA) and the Quantum Transfer Matrix approach
(QTM). Remarkably, it is possible to extract in a simple way the steady-state
Bethe-Gaudin-Takahashi (BGT) roots distributions, which encode complete
information about the GGE expectation values in the thermodynamic limit.
Finally, it is straightforward to simulate extensions of the GGE, in which,
besides the local integral of motion (local charges), one includes arbitrary
functions of the BGT roots. As an example, we include in the GGE the first
non-trivial quasi-local integral of motion.

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The categories of this paper are: eess
30
The categories of this paper are: q-alg
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The categories of this paper are: stat
7
The categories of this paper are: hep-th
34
The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
36
The categories of this paper are: cmp-lg
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The categories of this paper are: patt-sol
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The categories of this paper are: hep-lat
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The categories of this paper are: math-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: nlin
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The categories of this paper are: mtrl-th
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The categories of this paper are: chao-dyn
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The categories of this paper are: nucl-th