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.
- Hubburd-Stratanovich transformation
- Monte Carlo methods
- quantum spin systems
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics