Title

The condensate number in PIMC treatments of trapped bosons

Publication Date

2000

Comments

Published version located at http://www.sciencedirect.com/science?_ob=ArticleURL&_udi=B6TVH-41B6CCX-5&_user=1516330&_coverDate=07%2F31%2F2000&_rdoc=1&_fmt=high&_orig=search&_origin=search&_sort=d&_docanchor=&view=c&_searchStrId=1513271301&_rerunOrigin=google&_acct=C000053443&_version=1&_urlVersion=0&_userid=1516330&md5=944e8d90d71780b5d1e34c68e9fe75eb&searchtype=a

Abstract

In path integral Monte Carlo (PIMC) treatments of harmonically trapped bosons, one cannot use the usual long-range constant limit of the one-body reduced density matrix ρ1 to determine the condensate number n0 because ρ1 always approaches zero in a trap. W. Krauth found that the longest permutation cycle arising in the simulation gives a consistent value of n0. Our analytical studies of the ideal gas suggest other ways of using permutation cycles to determine n0. We test these approaches on simulations involving finite-size ideal and interacting gases and find that the methods are consistent.

Pages

9-10

Volume

284

Journal Title

PHYSICA B