1. The dispersion relation of a Bose gas in the intermediate- and high-momentum regimes
- Author
-
Shai Ronen
- Subjects
Condensed Matter::Quantum Gases ,Physics ,Bose gas ,Condensed matter physics ,Scattering length ,Condensed Matter Physics ,Resonance (particle physics) ,Atomic and Molecular Physics, and Optics ,Momentum ,Scattering amplitude ,Many-body problem ,symbols.namesake ,Quantum electrodynamics ,symbols ,van der Waals force ,Feshbach resonance - Abstract
The well-known Bogoliubov expression for the spectrum of a weakly interacting dilute Bose gas becomes inadequate when the density or interactions strength is increased. The corrections to the spectrum due to stronger interactions were first considered by Beliaev (1958 Sov. Phys.—JETP 7 289). We revisit Beliaev's theory and consider its application to a dilute gas with van der Waals interactions, where the scattering length may be tuned via a Fano–Feshbach resonance. We numerically evaluate Beliaev's expression for the excitation spectrum in the intermediate-momentum regime, and we also examine the consequences of the momentum dependence of the two-body scattering amplitude. These results are relevant to the interpretation of a recent Bragg spectroscopy experiment of a strongly interacting Bose gas.
- Published
- 2009
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