# Quantum Monte-Carlo methods and exact treatment of the two-body problem with Hartree-Fock Bogoliubov states

Abstract : In this article, we show that the exact two-body problem can be replaced by quantum jumps between densities written as D = |[PSI]$_{a}$><[PSI]$_{b}$| where |[PSI]$_{a}$> and |[PSI]$_{b}$ are vacuum for different quasi-particles operators. It is shown that the stochastic process can be written as a Stochastic Time- Dependent Hartree-Fock Bogoliubov theory (Stochastic TDHFB) for the generalized density R associated to D where R$^{2}$ = R along each stochastic trajectory
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Preprints, Working Papers, ...

http://hal.in2p3.fr/in2p3-00159313
Contributor : Sandrine Guesnon <>
Submitted on : Monday, July 2, 2007 - 5:14:24 PM
Last modification on : Thursday, November 5, 2020 - 10:50:14 AM

### Citation

D. Lacroix. Quantum Monte-Carlo methods and exact treatment of the two-body problem with Hartree-Fock Bogoliubov states. 2007. ⟨in2p3-00159313⟩

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