A stochastic MCMC sampling method with umbrella sampling provides unbiased loop corrections to belief propagation for exact factorization-based tensor network contraction on loopy graphs with symmetric potentials.
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4 Pith papers cite this work. Polarity classification is still indexing.
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H-PIMC and M-PIMC split the potential into harmonic and anharmonic pieces, sample the harmonic piece exactly, and report 6-16x higher acceptance and 7-30x lower autocorrelation for moderately anharmonic systems at βℏω=16, with further gains when combined with the worm algorithm.
Simulations of confined polar molecules reveal a bilayer crystal phase stabilized by increasing confinement and evidence of layered superfluid states with inter-layer coherence.
Extrapolated ground-state energy density reaches -0.669441857(7) and sublattice magnetization 0.307447(2) for the 2D S=1/2 Heisenberg antiferromagnet, with finite-size corrections matching chiral perturbation theory.
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Stochastic Loop Corrections to Belief Propagation for Tensor Network Contraction
A stochastic MCMC sampling method with umbrella sampling provides unbiased loop corrections to belief propagation for exact factorization-based tensor network contraction on loopy graphs with symmetric potentials.
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Bilayer crystals in a polar-molecules system
Simulations of confined polar molecules reveal a bilayer crystal phase stabilized by increasing confinement and evidence of layered superfluid states with inter-layer coherence.