Lifetime of Single-Particle Excitations in a Dilute Bose-Einstein Condensate at Zero Temperature

Abstract

We study the lifetime of single-particle excitations in a dilute homogeneous Bose-Einstein condensate at zero temperature based on a self-consistent perturbation expansion of satisfying Goldstone's theorem and conservation laws simultaneously.It is shown that every excitation for each momentum $\mathbf{p}$ should have a finite lifetime proportional to the inverse $a^{-1}$ of the $s$-wave scattering length $a$, instead of $a^{-2}$ for the normal state, due to a new class of Feynman diagrams for the self-energy that emerges upon condensation. We calculate the lifetime as a function of $|\mathbf{p}|$ approximately.

5 pages, 7 figures

References in corpus (4)

• Self-consistent perturbation expansion for Bose-Einstein condensates satisfying Goldstone's theorem and conservation laws
• Properties of Nambu-Goldstone Bosons in a Single-Component Bose-Einstein Condensate
• Studying Superfluid Transition of a Dilute Bose Gas by Conserving Approximations
• Ground-State Energy and Condensate Density of a Dilute Bose Gas Revisited

Cited by in corpus (3)

• Effective action for Bose-Einstein condensates
• Are Quasiparticles and Phonons Identical in Bose--Einstein Condensates?
• 3/2-Body Correlations and Coherence in Bose-Einstein Condensates