We present a simple derivation of a Feynman-Kac type formula to study
fermionic systems. In this approach the real time or the imaginary time
dynamics is expressed in terms of the evolution of a collection of Poisson
processes. A computer implementation of this formula leads to a family of
algorithms parametrized by the values of the jump rates of the Poisson
processes. From these an optimal algorithm can be chosen which coincides with
the Green Function Monte Carlo method in the limit when the latter becomes
exact.
Publié le : 1998-10-26
Classification:
Condensed Matter,
Computer Science - Data Structures and Algorithms,
High Energy Physics - Lattice,
Mathematical Physics,
Quantum Physics
@article{9810347,
author = {Beccaria, Matteo and Presilla, Carlo and De Angelis, Gian Fabrizio and Jona-Lasinio, Giovanni},
title = {An exact representation of the fermion dynamics in terms of Poisson
processes and its connection with Monte Carlo algorithms},
journal = {arXiv},
volume = {1998},
number = {0},
year = {1998},
language = {en},
url = {http://dml.mathdoc.fr/item/9810347}
}
Beccaria, Matteo; Presilla, Carlo; De Angelis, Gian Fabrizio; Jona-Lasinio, Giovanni. An exact representation of the fermion dynamics in terms of Poisson
processes and its connection with Monte Carlo algorithms. arXiv, Tome 1998 (1998) no. 0, . http://gdmltest.u-ga.fr/item/9810347/