Structure of boson systems beyond the mean-field
arXiv:cond-mat/0306564 · doi:10.1088/0953-4075/37/1/006
Abstract
We investigate systems of identical bosons with the focus on two-body correlations. We use the hyperspherical adiabatic method and a decomposition of the wave function in two-body amplitudes. An analytic parametrization is used for the adiabatic effective radial potential. We discuss the structure of a condensate for arbitrary scattering length. Stability and time scales for various decay processes are estimated. The previously predicted Efimov-like states are found to be very narrow. We discuss the validity conditions and formal connections between the zero- and finite-range mean-field approximations, Faddeev-Yakubovskii formulation, Jastrow ansatz, and the present method. We compare numerical results from present work with mean-field calculations and discuss qualitatively the connection with measurements.
26 pages, 6 figures, submitted to J. Phys. B. Ver. 2 is 28 pages with modified figures and discussions
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- Self-consistent calculation of the coupling constant in the Gross-Pitaevskii equation
- Semi-analytic Faddeev solution to the -boson problem with zero-range interactions
- Hyperspherical-LOCV Approximation to Resonant BEC
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