The kinetic and interaction energies of a trapped Bose gas: Beyond the mean field

Abstract

The kinetic and interaction energies of a three-dimensional dilute ground-state Bose gas confined in a trap are calculated beyond a mean-field treatment. They are found to depend on the pairwise interaction trough two characteristic lengths: the first, a, is the well-known scattering length and the second, b, is related to the latter by b=a-λd a/dλwith λbeing the coupling constant. Numerical estimations show that the pairwise interaction energy of a dilute gas of alkali atoms in a trap is negative (in spite of the positive scattering length); its absolute value is found by about the order of magnitude larger than that of the mean-field interaction energy that corresponds to the last term in the Gross-Pitaevskii functional.

arXiv comment5 pages, REVTeX, 1 figure inserted

References in corpus (9)

• Theory of Bose-Einstein condensation in trapped gases
• Bose-Einstein condensation in quasi2D trapped gases
• Excitation of phonons in a Bose-Einstein condensate by light scattering
• Bosons in a Trap: A Rigorous Derivation of the Gross-Pitaevskii Energy Functional
• Ground State Energy of the Low Density Bose Gas
• Dynamic structure factor and momentum distribution of a trapped Bose gas
• Short-range particle correlations in dilute Bose gas
• Dilute Bose gas: short-range particle correlations and ultraviolet divergence
• The Dilute Bose Gas Revised

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• Photoassociation and optical Feshbach resonances in an atomic Bose-Einstein condensate: treatment of correlation effects
• Self-consistent calculation of the coupling constant in the Gross-Pitaevskii equation
• Tan's adiabatic sweep theorem from the variational theorem for the scattering length
• Condensate fluctuations in the dilute Bose gas
• Dilute Fermi gas: kinetic and interaction energies