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An exact stochastic mean-field approach to the fermionic many-body problem | O. Juillet
; Ph. Chomaz
; D. Lacroix
; F. Gulminelli
; | Date: |
29 Apr 2001 | Journal: | Phys.Rev.Lett. 88 (2002) 142503 | Subject: | nucl-th cond-mat quant-ph | Abstract: | We investigate a reformulation of the dynamics of interacting fermion systems in terms of a stochastic extension of Time Dependent Hartree-Fock equations. The noise is found from a path-integral representation of the evolution operator and allows to interpret the exact N-body state as a coherent average over Slater determinants evolving under the random mean-fied. The full density operator and the expectation value of any observable are then reconstructed using pairs of stochastic uncorrelated wave functions. The imaginary time propagation is also presented and gives a similar stochastic one-body scheme which converges to the exact ground state without developing a sign problem. In addition, the growth of statistical errors is examined to show that the stochastic formulation never explode in a finite dimensional one-body space. Finally, we consider initially correlated systems and present some numerical implementations in exactly soluble models to analyse the precision and the stability of the approach in practical cases. | Source: | arXiv, nucl-th/0104085 | Services: | Forum | Review | PDF | Favorites |
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