Comment on "Universal and Non-Universal Correction Terms of Bose Gases in Dilute Region: A Quantum Monte Carlo Study'' [J. Phys. Soc. Jpn. 91, 024001 (2022)]
Adam Ran\c{c}on

TL;DR
This paper discusses the agreement between quantum Monte Carlo results and semi-classical approximations for dilute Bose gases, confirming analytical formulas for key physical parameters.
Contribution
It clarifies the validity of semi-classical spin-wave approximation in reproducing Monte Carlo results for Bose gases in the hardcore limit.
Findings
Good agreement with semi-classical spin-wave approximation
Recovery of analytical formulas for scattering length
Validation of Lee-Huang-Yang correction
Abstract
We comment on J. Phys. Soc. Jpn. 91, 024001 (2022) by Masaki-Kato et al. and show that their results are in very good agreement with the semi-classical spin-wave approximation of Bose-Hubbard model in the hardcore limit. This allows for recovering the analytical formulae for both the s-wave scattering length and the Lee-Huang-Yang correction.
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