Beliaev damping in Bose gas

Abstract

According to the Bogoliubov theory the low energy behaviour of the Bose gas at zero temperature can be described by non-interacting bosonic quasiparticles called phonons. In this work the damping rate of phonons at low momenta, the so-called Beliaev damping, is explained and computed with simple arguments involving the Fermi Golden Rule and Bogoliubov's quasiparticles.

27 pages, 2 figures, revised version

References in corpus (13)

• Damping in dilute Bose gases: a mean-field approach
• The excitation spectrum for weakly interacting bosons in a trap
• The Excitation Spectrum for Weakly Interacting Bosons
• A theoretical study on the damping of collective excitations in a Bose-Einstein condensate
• Justification of c-Number Substitutions in Bosonic Hamiltonians
• Beliaev damping of quasi-particles in a Bose-Einstein condensate
• The experimental observation of Beliaev damping in a Bose condensed gas
• The dispersion relation of Landau elementary excitations and the thermodynamic properties of superfluid ${}^4$He
• Asymptotic expansion of low-energy excitations for weakly interacting bosons
• Damping in 2D and 3D dilute Bose gases
• Excitation Spectrum for Bose Gases beyond the Gross-Pitaevskii Regime
• Beyond Bogoliubov Dynamics
• Extended Weak Coupling Limit for Friedrichs Hamiltonians