PROJECTOR APPROXIMATION AND QUANTUM MONTE CARLO

R.M. Fye
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R.M. Fye: Sandia National Laboratories Department 1421, P.O. Box 5800 Albuquerque, New Mexico 87185, USA

International Journal of Modern Physics C (IJMPC), 1994, vol. 05, issue 03, 483-488

Abstract: We derive a general approximation for performing quantum Monte Carlo simulations within a desired subspace of the full Hilbert space. We analytically determine the form of the resulting systematic error, allowing controlled extrapolation to exact results. We discuss some numerical applications, including fermion impurity and lattice models with infinite on-site Colulomb repulsion U and quantum spin systems. We demonstrate the use of the approximation in simulations with a test model.

Date: 1994
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DOI: 10.1142/S0129183194000660

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