title: Exact stochastic mean-field approach to the fermionic many-body problem.
abstract: We investigate a reformulation of the dynamics of interacting fermion systems in terms of a stochastic extension of time-dependent Hartree-Fock equations. From a path-integral representation of the evolution operator, we show that the exact N-body state can be interpreted as a coherent average over Slater determinants evolving in a random mean-field. The imaginary time propagation is also presented and gives a similar scheme which converges to the exact ground state. In addition, the growth of statistical errors is examined to show the stability of this stochastic formulation.
authors.affiliation: LPC/ISMRA, Boulevard du Marechal Juin, F-14050 Caen Cedex, France.
authors.forename: O
authors.initials: O
authors.lastname: Juillet
authors.forename: Ph
authors.initials: P
authors.lastname: Chomaz