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Dimensional reduction of mean-field equations for atomic superfluids

Grant number: 10/09539-1
Support Opportunities:Scholarships in Brazil - Doctorate
Effective date (Start): August 01, 2010
Effective date (End): February 28, 2013
Field of knowledge:Physical Sciences and Mathematics - Physics - Atomic and Molecular Physics
Principal Investigator:Sadhan Kumar Adhikari
Grantee:Luis Ever Young Silva
Host Institution: Instituto de Física Teórica (IFT). Universidade Estadual Paulista (UNESP). Campus de São Paulo. São Paulo , SP, Brazil
Associated research grant:05/03001-1 - Study of Bose-Einstein condensation using mean-field theory, AP.TEM


From a three-dimensional (3D) nonlinear density functional equation which describe appropriately the stationary and non-stationary states of a trapped superfluid (SF) of bosons or fermions atoms, we develop one- (1D) and two-dimensional (2D) effective equations to describe a trapped cigar- and disk-shaped SF respectively. The numerical solution of 1D and 2D equations to describe a SF for any scattering length has some advantages. It is simpler and employs smaller computational time, opposite to the Monte Carlo simulation or other microscopic formulation for many particles whose solutions are difficult to find. The results obtained from 1D and 2D equations are in good agreement with the solution of the full 3D equation for trapped cigar- and disk-shaped SF for any value of the atomic interaction. This system 1D and 2D can be used for study Anderson localization in random potentials. Also to let study the properties of a Fermi SF in different regions of interaction. Besides to study system in lower dimensions is very important for construction of any theory to explain the behavior of SF of ultra-cold atoms in mix-systems which live in different dimensions. Recent experimental evidences showed which these systems with mix-dimensions exist.

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Academic Publications
(References retrieved automatically from State of São Paulo Research Institutions)
SILVA, Luis Ever Young. Exotic Bose-Einstein condensates: binary mixtures and dipolar gases. 2013. Doctoral Thesis - Universidade Estadual Paulista (Unesp). Instituto de Física Teórica (IFT). São Paulo São Paulo.

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