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Springer series in solid-state sciences

Elementary Excitations in Bose-Condensed Liquids and Gases at Finite Temperatures

Adam Griffin

Published Jan 1, 1989• 1 citation
Publisher
DOI
10.1007/978-3-642-83428-8_3

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The finite temperature Green's function technique is used to calculate the energies and damping rates of the elementary excitations of homogeneous, dilute, spin-1 Bose gases below the Bose-Einstein condensation temperature in both the density and spin channels. For this purpose a self-consistent dynamical Hartree-Fock model is formulated, which takes into account the direct and exchange processes on equal footing by summing up certain classes of Feynman diagrams. The model is shown to satisfy the Goldstone theorem and to exhibit the hybridization of one-particle and collective excitations correctly. The results are applied to gases of 23Na{}^{23}\mathrm{Na}23Na and 87Rb{}^{87}\mathrm{Rb}87Rb atoms.