Ground state of interacting many boson systems: An approach based on natural orbitals
Yükleniyor...
Tarih
2010
Yazarlar
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Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
We have developed an alternative approach to investigate the ground state properties of many boson systems with interactions in a harmonic trap. The method is inspired, and to some extent similar to the Kohn-Sham formulation of the density functional theory. The method is applied to a model many boson system to obtain the ground state properties of the system. We give a description of a many boson system within the second quantization formalism. We employ the natural orbitals to describe the ground state of the system. We represent the natural orbitals as an expansion in terms of a complete set. We obtain the expansion coefficients by minimizing the total energy. We apply the proposed method to a model system of interacting bosons. The results are compared with the results obtained from Gross-Pitaevskii equations which are widely used to describe Bose-Einstein Condensation. Also we compare our results with the Monte Carlo simulation results found in the literature. The agreement of our results with the results of Gross-Pitaevskii equations establishes the feasibility and accuracy of the method. © 2009 American Institute of Physics.
Açıklama
National and Kapodistrian University of Athens; University of Crete; University of Ioannina; University of Patras; Aristotelian University of Thessaloniki
7th International Conference of the Balkan Physical Union -- 9 September 2009 through 13 September 2009 -- Alexandroupolis -- 79345
7th International Conference of the Balkan Physical Union -- 9 September 2009 through 13 September 2009 -- Alexandroupolis -- 79345
Anahtar Kelimeler
Bose-Einstein Condensation, Computer modeling and simulation, Density functional theory
Kaynak
AIP Conference Proceedings
WoS Q Değeri
Scopus Q Değeri
Q4
Cilt
1203
