Path-Integral Monte Carlo Worm Algorithm for Bose Systems with Periodic Boundary Conditions
Round 1
Reviewer 1 Report
The authors present a detailed description of the path-integral Monte Carlo worm algorithm applied to Bose systems with periodic boundary conditions including all the technical details of the implementation and include several testing cases, from a non-interacting Bose gas to a hard-spheres 3D system.
The paper is well written and its pedagogical approach is really welcome in a scientific world where being pedagogical ir rare despite very valuable for practitioners. Thus, I consider the manuscript can be published in Condensed Matter its present form.
Reviewer 2 Report
The authors have developed the path-integral Monte Carlo worm algorithm which is used to exactly calculate the thermodynamics of Bose systems in the canonical ensemble. The algorithm is fully consistent with periodic boundary conditions, and it does not require any limitation in the length of the Monte Carlo moves. They have benchmarked the algorithm using the non-interacting Bose gas model for which exact results for the partition function can be derived. In the following they have investigated interacting systems of hard spheres in the regime of high density and discussed the convergence and the approach to the thermodynamic limit.
The presentain of the method is performed corectlly and abequate bencmarks shown the resonable agreement.
I have no specific objections.
