Quantum Corrections to the Ground State of a Trapped Bose-Einstein Condensate

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dc.creatorBraaten, Eric
dc.creatorNieto, Agustin
dc.date1997-07-18
dc.date.accessioned2026-07-07T12:01:15Z
dc.date.available2026-07-07T12:01:15Z
dc.descriptionIn the mean-field approximation, the number density ρ(r) for the ground state of a Bose-Einstein condensate trapped by an external potential V(r) satisfies a classical field equation called the Gross-Pitaevskii equation. We show that quantum corrections to ρare dominated by quantum fluctuations with wavelengths of order 1/\sqrt{ρa}, where a is the S-wave scattering length. By expanding the equations for the Hartree-Fock approximation to second order in the gradient expansion, we derive local correction terms to the Gross-Pitaevskii equation that take into account the dominant effects of quantum fluctuations. We also show that the gradient expansion for the density breaks down at fourth order.
dc.description36 pages, 8 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/9707199
dc.identifierhttp://arxiv.org/abs/cond-mat/9707199
dc.identifierPhys.Rev.B56:14745-14765,1997
dc.identifierdoi:10.1103/PhysRevB.56.14745
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/207039
dc.subjectStatistical Mechanics
dc.subjectHigh Energy Physics - Theory
dc.titleQuantum Corrections to the Ground State of a Trapped Bose-Einstein Condensate
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