Application to Bose–Einstein Condensates

Chapter
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Abstract

Bose–Einstein condensate (BEC) is formed when a macroscopic fraction of bosons in a Bose gas occupies the lowest energy state, below a critical temperature. It is extremely dilute and the effective two-body interaction is given in terms of s-wave scattering length (\(a_s\)). Properties of BEC are discussed. The standard Gross–Pitaevskii equation (GPE) is obtained from mean field theory with contact interaction. Simplifying assumptions and limitations of GPE are discussed. Many-body treatment consists of solving the many-body equation by expanding the interacting pair Faddeev component in correlated PH basis (PHEM), which is appropriate for the dilute system. For the extremely dilute system interacting via van der Waals potential, a short-range correlation function is needed with the PH basis. Results for attractive and repulsive condensates are presented.

Keywords

Bose–Einstein condensate Correlated potential harmonics expansion Gross–Pitaevskii equation s-wave scattering length Contact interaction van der Waals interaction 
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Copyright information

© Springer India 2016

Authors and Affiliations

  1. 1.Department of PhysicsUniversity of CalcuttaKolkataIndia

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