Ground State of Interacting Many Boson Systems: An Approach Based On Natural Orbitals

Journal Article · Thu Jan 21 00:00:00 EST 2010 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.3322509· OSTI ID:21371476

Akbas, Hatice Z ^[1]; Atav, Uelfet ^[2]

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1. Department of Physics, Faculty of Science and Arts, Mustafa Kemal University, Hatay (Turkey)
2. Department of Physics, Faculty of Science, Selcuk University, Konya (Turkey)

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.

• OSTI ID: 21371476
• Journal Information: AIP Conference Proceedings, Vol. 1203, Issue 1; Conference: 7. international conference of the Balkan Physical Union, Alexandroupolis (Greece), 9-13 Sep 2009; Other Information: DOI: 10.1063/1.3322509; (c) 2010 American Institute of Physics; ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ALGEBRA
BOSE-EINSTEIN CONDENSATION
COMPARATIVE EVALUATIONS
COMPUTERIZED SIMULATION
DENSITY FUNCTIONAL METHOD
GROUND STATES
INTERACTING BOSON MODEL
MONTE CARLO METHOD
NUCLEAR STRUCTURE
SECOND QUANTIZATION
WAVE EQUATIONS
CALCULATION METHODS
DIFFERENTIAL EQUATIONS
ENERGY LEVELS
EQUATIONS
EVALUATION
MATHEMATICAL MODELS
MATHEMATICS
NUCLEAR MODELS
PARTIAL DIFFERENTIAL EQUATIONS
QUANTIZATION
SHELL MODELS
SIMULATION
VARIATIONAL METHODS