A Monte Carlo formulation of the Bogolubov theory
Sinatra, Alice, Castin, Yvan and Lobo, Carlos (2000) A Monte Carlo formulation of the Bogolubov theory. Journal of Modern Optics, 47, (14-15), 2629-2644. (doi:10.1080/095003400750039591).
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We propose an efficient stochastic method to implement numerically the Bogolubov approach to study finite-temperature Bose-Einstein condensates. Our method is based on the Wigner representation of the density matrix describing the non-condensed modes and a Brownian motion simulation to sample the Wigner distribution at thermal equilibrium. Allowing it to sample any density operator Gaussian in the field variables, our method is very general and it applies both to the Bogolubov and to the Hartree-Fock Bogolubov approach, in the equilibrium case as well as in the time-dependent case. We think that our method can be useful to study trapped Bose-Einstein condensates in two or three spatial dimensions without rotational symmetry properties, as in the case of condensates with vortices, where the traditional Bogolubov approach is difficult to implement numerically due to the need to diagonalize very big matrices.
|Subjects:||Q Science > QC Physics|
|Divisions:||Faculty of Social and Human Sciences > Mathematical Sciences > Applied Mathematics
|Date Deposited:||15 Dec 2011 10:03|
|Last Modified:||26 Apr 2013 01:19|
|Contributors:||Sinatra, Alice (Author)
Castin, Yvan (Author)
Lobo, Carlos (Author)
|RDF:||RDF+N-Triples, RDF+N3, RDF+XML, Browse.|
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