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The reduced density matrix (RDM) is a fundamental contraction of theBose-Einstein condensate wave function, encapsulating its one-body properties.It serves as a major analysis tool with which the condensed component of thedensity can be identified. Despite its cardinal importance, calculating theground-state RDM of trapped interacting bosons is challenging and has beenfully achieved only for specific models or when the pairwise interaction isweak. In this paper we discuss a new approach to compute the RDM based on adouble-walker diffusion Monte Carlo random walk coupled with a stochasticpermanent calculation. We here describe the new method and study some of itsstatistical convergence and properties applying it to some model systems.

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