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) |
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Pages (from-to) | 985-990 |
Number of pages | 6 |
Journal | Journal of Statistical Physics |
Volume | 43 |
Issue number | 5-6 |
DOIs | |
State | Published - Jun 1986 |
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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
}
TY - JOUR
T1 - Auxiliary-field Monte Carlo methods
AU - Koonin, Steven E.
PY - 1986/6
Y1 - 1986/6
N2 - 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.
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.
KW - Hubburd-Stratanovich transformation
KW - Monte Carlo methods
KW - quantum spin systems
UR - http://www.scopus.com/inward/record.url?scp=51649148061&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=51649148061&partnerID=8YFLogxK
U2 - 10.1007/BF02628325
DO - 10.1007/BF02628325
M3 - Article
AN - SCOPUS:51649148061
VL - 43
SP - 985
EP - 990
JO - Journal of Statistical Physics
JF - Journal of Statistical Physics
SN - 0022-4715
IS - 5-6
ER -