Auxiliary-field Monte Carlo methods

Steven E. Koonin

Research output: Contribution to journal › Article

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.

Original languageEnglish (US)
Pages (from-to)985-990
Number of pages6
JournalJournal of Statistical Physics
Volume43
Issue number5-6
DOIs
StatePublished - Jun 1986

Fingerprint

Monte Carlo method
Quantum Spin System
Monte Carlo Algorithm
Partition Function
Bosons
Fermions
partitions
Evaluation
bosons
fermions
sampling
Interaction
evaluation
interactions
Model

Keywords

  • Hubburd-Stratanovich transformation
  • Monte Carlo methods
  • quantum spin systems

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Physics and Astronomy(all)
  • Mathematical Physics

Cite this

Auxiliary-field Monte Carlo methods. / Koonin, Steven E.

In: Journal of Statistical Physics, Vol. 43, No. 5-6, 06.1986, p. 985-990.

Research output: Contribution to journal › Article

Koonin, SE 1986, 'Auxiliary-field Monte Carlo methods', Journal of Statistical Physics, vol. 43, no. 5-6, pp. 985-990. https://doi.org/10.1007/BF02628325
Koonin SE. Auxiliary-field Monte Carlo methods. Journal of Statistical Physics. 1986 Jun;43(5-6):985-990. https://doi.org/10.1007/BF02628325
Koonin, Steven E. / Auxiliary-field Monte Carlo methods. In: Journal of Statistical Physics. 1986 ; Vol. 43, No. 5-6. pp. 985-990.
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