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

G. Sugiyama, S. E. Koonin

Research output: Contribution to journalArticlepeer-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 languageEnglish (US)
Pages (from-to)1-26
Number of pages26
JournalAnnals of Physics
Volume168
Issue number1
DOIs
StatePublished - Apr 15 1986

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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