Stochastic method for calculating the ground-state one-body density matrix of trapped Bose particles in one dimension

Omri Buchman*, Roi Baer

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

The one-body density matrix (OBDM) 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 OBDM of trapped interacting bosons is a challenge and to date OBDM calculations have been published only for homogeneous systems or for trapped weakly interacting bosons. In this paper we discuss an approach for computing the OBDM based on a double-walker diffusion Monte Carlo random walk coupled with a stochastic permanent calculation. We here describe the method and study some of its statistical convergence and properties applying it to some model systems.

Original languageAmerican English
Article number033626
JournalPhysical Review A
Volume96
Issue number3
DOIs
StatePublished - 20 Sep 2017

Bibliographical note

Publisher Copyright:
© 2017 American Physical Society.

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