Quantum Monte Carlo simulations of 4He in a perturbed nanopore show Friedel oscillations in a bosonic Luttinger liquid, with Luttinger liquid theory used to predict signatures in elastic scattering and mass transport.
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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.
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Combining Harmonic Sampling with the Worm Algorithm to Improve the Efficiency of Path Integral Monte Carlo
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.