Auxiliary-field Monte Carlo methods

Steven E. Koonin

doi:10.1007/BF02628325

Auxiliary-field Monte Carlo methods

Steven E. Koonin

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

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 language	English (US)
Pages (from-to)	985-990
Number of pages	6
Journal	Journal of Statistical Physics
Volume	43
Issue number	5-6
DOIs	https://doi.org/10.1007/BF02628325
State	Published - Jun 1986

Keywords

Hubburd-Stratanovich transformation
Monte Carlo methods
quantum spin systems

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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10.1007/BF02628325

Cite this

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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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AB - 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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Auxiliary-field Monte Carlo methods

Abstract

Keywords

ASJC Scopus subject areas

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