Ground State of a trapped Bose-Einstein Condensate in Two Dimensions; Beyond the Mean-field Approximation
arXiv:cond-mat/0012101 · doi:10.1103/PhysRevA.65.033615
Abstract
We consider the ground state of a trapped Bose-Einstein condensate in two dimensions. In the mean-field approximation, the ground state density profile satisfies the Gross-Pitaevskii equation. We compute the leading quantum corrections to the density profile to second order in an expansion around the Thomas-Fermi limit. By summing the ladder diagrams, we are generalizing Schick's result for the ground state energy of a homogeneouns Bose gas to the case of a trapped Bose gas.
19 pages, 2 figures, revtex
References in corpus (1)
Cited by in corpus (7)
- Physics with Coherent Matter Waves
- Weakly Interacting, Dilute Bose Gases in 2D
- Zero-point energy of ultracold atoms
- Natural Orbitals and BEC in traps, a diffusion Monte Carlo analysis
- Behavior of the anomalous correlation function in uniform 2D Bose gas
- Pairing in two-dimensional boson-fermion mixtures
- Finite-temperature properties of quasi-2D Bose-Einstein condensates