Kinetic energy of uniform Bose-Einstein condensate
E. E. Nikitin, L. P. Pitaevskii
TL;DR
This paper derives explicit formulas for the kinetic energy of atoms in a uniform Bose-Einstein condensate using Bogoliubov theory, addressing divergence issues and providing numerical data for Rb-87 and Na-23.
Contribution
It introduces a method to calculate the kinetic energy of condensate atoms based on interatomic interaction parameters, resolving divergence problems.
Findings
Kinetic energy exceeds total energy in the condensate.
Explicit formulas relate kinetic energy to scattering length and atomic mass.
Numerical results for Rb-87 and Na-23 are provided.
Abstract
The Bogoliubov theory of a uniform weakly-nonideal Bose-Einstein condensate leads to a divergent expression for the kinetic energy of atoms. However, the latter can be determined provided that the dependence of the scattering length on atomic mass is known. The explicit expressions are derived for the kinetic energy through parameters that specify interatomic interaction. The kinetic energy of condensate atoms noticeably exceeds the total energy. Numerical data are presented for Rb-87 and Na-23 condensates.
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Taxonomy
TopicsCold Atom Physics and Bose-Einstein Condensates · Advanced Thermodynamics and Statistical Mechanics · Optical properties and cooling technologies in crystalline materials