Dynamic structure factor of superfluid He4 from quantum Monte Carlo: Maximum entropy revisited

Youssef Kora and Massimo Boninsegni
Phys. Rev. B 98, 134509 – Published 22 October 2018

Abstract

We use the maximum entropy method (MaxEnt) to estimate the dynamic structure factor of superfluid He4 at T=1 K, by inverting imaginary-time density correlation functions computed by quantum Monte Carlo (QMC) simulation. Our procedure consists of a Metropolis random walk in the space of all possible spectral images, sampled from a probability density which includes the entropic prior, in the context of the so-called “classic” MaxEnt. Comparison with recent work by other authors shows that contrary to what is often stated, sharp features in the reconstructed image are not “washed out” by the entropic prior if the underlying QMC data have sufficient precision. Only spurious features that tend to appear in a straightforward χ2 minimization are suppressed.

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  • Received 5 September 2018

DOI:https://doi.org/10.1103/PhysRevB.98.134509

©2018 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied PhysicsStatistical Physics & Thermodynamics

Authors & Affiliations

Youssef Kora and Massimo Boninsegni

  • Department of Physics, University of Alberta, Edmonton, Alberta, Canada T6G 2E1

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Issue

Vol. 98, Iss. 13 — 1 October 2018

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