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Evolution of fermionic systems as an expectation over Poisson processes

Matteo Beccaria, Carlo Presilla, Gian Fabrizio De Angelis, Giovanni Jona Lasinio

quant-pharXiv:quant-ph/9911031

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.

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