Dual Quantum Monte Carlo Algorithm for Hardcore Bosons

Details Dual Quantum Monte Carlo Algorithm for Hardcore Bosons Dual Quantum Monte Carlo Algorithm for Hardcore Bosons

1998-11-17

arxiv.org/abs/cond-mat/9811249v1

Physics

Condensed Matter

Statistical Mechanics

15 pages, 4 figures . Talk given at CCP1998, Granada, Spain

Scientific paper

10.1016/S0010-4655(99)00384-7

We derive the exact dual representation of the bosonic Hubbard model which takes the form of conserved current loops. The hardcore limit, which corresponds to the quantum spin-${1\over 2}$ Heisenberg antiferromagnet, is also obtained. In this limit, the dual partition function takes a particularly simple form which is very amenable to numerical simulations. In addition to the usual quantities that we can measure (energy, density-density correlation function and superfluid density) we can with this new algorithm measure efficiently the order parameter correlation function, $, |i-j|\ge 1$. We demonstrate this with numerical tests in one dimension.

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