Dual Quantum Monte Carlo Algorithm for Hardcore Bosons

G. G. Batrouni; H. Mabilat

doi:10.1016/s0010-4655(99)00384-7

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arXiv · cond-mat/9811249

Dual Quantum Monte Carlo Algorithm for Hardcore Bosons

G. G. Batrouni·H. Mabilat

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Abstract

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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BibTeX RIS

G. G. Batrouni, H. Mabilat. 1998-11-17. Dual Quantum Monte Carlo Algorithm for Hardcore Bosons. https://doi.org/10.1016/s0010-4655(99)00384-7

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