Auxiliary field Monte-Carlo for quantum many-body ground states

G. Sugiyama; S. E. Koonin

doi:10.1016/0003-4916(86)90107-7

Auxiliary field Monte-Carlo for quantum many-body ground states

G. Sugiyama, S. E. Koonin

Research output: Contribution to journal › Article › peer-review

Abstract

We develop an algorithm for determining the exact ground state properties of quantum many-body systems which is equally applicable to bosons and fermions. The Schroedinger eigenvalue equation for the ground state energy is recast as a many-dimensional integral using the Hubbard-Stratonovitch representation of the imaginary-time many-body evolution operator. The integral is then evaluated stochastically. We test the algorithm for an exactly soluble boson system with an attractive potential and then extend it to fermions and repulsive potentials. Importance sampling is crucial to the success of the method, particularly for more complex systems. Computational efficiency is improved by performing the calculations in Fourier space.

Original language	English (US)
Pages (from-to)	1-26
Number of pages	26
Journal	Annals of Physics
Volume	168
Issue number	1
DOIs	https://doi.org/10.1016/0003-4916(86)90107-7
State	Published - Apr 15 1986

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General Physics and Astronomy

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10.1016/0003-4916(86)90107-7

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Auxiliary field Monte-Carlo for quantum many-body ground states

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