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

2006/05/16 by Lacroix, Denis
#FOS: Physical sciences #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Nuclear Theory (nucl-th) #Quantum Physics (quant-ph)

paper · doi:10.48550/arxiv.nucl-th/0605033

Abstract

In this article, we show that the exact two-body problem can be replaced by quantum jumps between densities written as D=| Ψ_a > < Ψ_b | where | Ψ_a > and | Ψ_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 \cal R associated to D where \cal R² = \cal R along each stochastic trajectory.

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