Many-body approach to low-lying collective excitations in a BEC approaching collapse

Abstract

An approximate many-body theory incorporating two-body correlations has been employed to calculate low-lying collective multipole frequencies in a Bose-Einstein condensate containing $A$ bosons, for different values of the interaction parameter $\lambda =\frac{A{a}_s}{a_{ho}}$. Significant difference from the variational estimate of the Gross-Pitaevskii equation has been found near the collapse region. This is attributed to two-body correlations and finite range attraction of the realistic interatomic interaction. A large deviation from the hydrodynamic model is also seen for the second monopole breathing mode and the quadrupole mode for large positive $\lambda$.

arXiv comment8 pages, 2 figures

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Cited by in corpus (5)

• Behavior of heat capacity of an attractive Bose-Einstein Condensate approaching collapse
• Energy level statistics of interacting trapped bosons
• Effect of realistic interatomic interactions and two-body correlation on the heat capacity of a trapped BEC
• Spectral fluctuation and $\frac{1}{f^{\alpha }}$ noise in the energy level statistics of interacting trapped bosons
• Thermodynamic properties of ultracold Bose gas: transition exponents and universality