Stochastic method for calculating the ground state reduced density matrix of trapped Bose particles in one dimension
Abstract
The reduced density matrix (RDM) is a fundamental contraction of the Bose-Einstein condensate wave function, encapsulating its one-body properties. It serves as a major analysis tool with which the condensed component of the density can be identified. Despite its cardinal importance, calculating the ground-state RDM of trapped interacting bosons is challenging and has been fully achieved only for specific models or when the pairwise interaction is weak. In this paper we discuss a new approach to compute the RDM based on a double-walker diffusion Monte Carlo random walk coupled with a stochastic permanent calculation. We here describe the new method and study some of its statistical convergence and properties applying it to some model systems.
Keywords
Cite
@article{arxiv.1705.04101,
title = {Stochastic method for calculating the ground state reduced density matrix of trapped Bose particles in one dimension},
author = {Omri Buchman and Roi Baer},
journal= {arXiv preprint arXiv:1705.04101},
year = {2017}
}