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- Gaussian quantum Monte Carlo methods for fermions and bosons
- Corney, J. F.; Drummond, P. D.
- A novel class of quantum Monte Carlo methods, which were based on a Gaussian quantum operator representation of fermionic states was investigated. The finite-temperature properties of the two dimensional Hubbard model and the dynamics in a simple model of coherent molecular dissociation were calculated as an application relevant to the Fermi sign problem. The identities for first-principles calculations of the time evolution of quantum systems, both dynamical and canonical were also discussed. The results show that many-body quantum systems map exactly to stochastic equations if a suitable stochastic gage is chosen which eliminates all boundary terms.
- Publication type
- Journal article
- Physical Review Letters, Vol. 93, no. 26 (2004), article no. 260401
- Publication year
- FOR Code(s)
- 02 Physical Sciences
- Bose-Fermi systems; Bosons; Boundary value problems; Computer simulation; Fermi level; Fermions; Gages; Gaussian noise; High-energy lattices; High energy physics; Integral equations; Mathematical models; Matrix algebra; Monte Carlo methods; Pauli blocking; QMC; Quantum Monte Carlo; Quantum theory; Random processes; Thermal effects
- American Physical Society
- Publisher URL
- Copyright © 2004 The American Physical Society. Published version of this paper reproduced here in accordance with the copyright policy of the publisher.
- Full text
- Peer reviewed