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

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

1997-07-18

arxiv.org/abs/cond-mat/9707199v1

Phys.Rev.B56:14745-14765,1997

Physics

Condensed Matter

Statistical Mechanics

36 pages, 8 figures

Scientific paper

10.1103/PhysRevB.56.14745

In the mean-field approximation, the number density \rho(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 \rho are dominated by quantum fluctuations with wavelengths of order 1/\sqrt{\rho a}, 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.

Affiliated with

Also associated with

No associations

Rating

Quantum Corrections to the Ground State of a Trapped Bose-Einstein Condensate does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Quantum Corrections to the Ground State of a Trapped Bose-Einstein Condensate, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quantum Corrections to the Ground State of a Trapped Bose-Einstein Condensate will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-334275