Evolution of fermionic systems as an expectation over Poisson processes

Abstract

We derive an exact probabilistic representation for the evolution of a Hubbard model with site- and spin-dependent hopping coefficients and site-dependent interactions in terms of an associated stochastic dynamics of a collection of Poisson processes.

Comments: 4 pages, contribution to the proceedings of tenth International Conference on Recent Progress in Many-Body Theories, Seattle, 1999