Evolution of fermionic systems as an expectation over Poisson processes
Quantum Physics
2011-04-15 v1 Condensed Matter
High Energy Physics - Lattice
Mathematical Physics
math.MP
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.
Cite
@article{arxiv.quant-ph/9911031,
title = {Evolution of fermionic systems as an expectation over Poisson processes},
author = {Matteo Beccaria and Carlo Presilla and Gian Fabrizio De Angelis and Giovanni Jona Lasinio},
journal= {arXiv preprint arXiv:quant-ph/9911031},
year = {2011}
}
Comments
4 pages, contribution to the proceedings of tenth International Conference on Recent Progress in Many-Body Theories, Seattle, 1999