Exact stochastic mean-field approach to the fermionic many-body problem.
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.
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LPC/ISMRA, Boulevard du Marechal Juin, F-14050 Caen Cedex, France.
Chomaz
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