Abstract
I discuss Monte Carlo algorithms for quantum many-body systems that employ an auxiliary field to linearize a two-body interaction. These reduce the evaluation of the partition function to sampling many one-body evolutions in a fluctuating field. Fermions and bosons are treated on an equal footing. Applications to potential models and to quantum spin systems are discussed.
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S. E. Koonin, G. Sugiyama, and H. Friedrich,Proceedings of the Conference on TDHF and Beyond, Lecture Notes in Physics, Vol. 171, K. Goeke, ed. (Springer-Verlag, Berlin, 1982) p. 214.
G. Sugiyama, Ph. D. thesis, California Institute of Technology, 1984; G. Sugiyama and S. E. Koonin,Ann. Phys.
A. M. Khan, T. Troudet, and S. E. Koonin, manuscript in preparation.
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This work was supported in part by the National Science Foundation, grants PHY82-07332 and PHY85-05682. The potential-model studies were done in collaboration with G. Sugiyama, while A. Khan and T. Troudet were responsible for the work on the quantum spin systems.
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Koonin, S.E. Auxiliary-field Monte Carlo methods. J Stat Phys 43, 985–990 (1986). https://doi.org/10.1007/BF02628325
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DOI: https://doi.org/10.1007/BF02628325