Abstract
AbstractAccording 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.
Publisher
Springer Science and Business Media LLC
Reference44 articles.
1. CMS Books in Mathematics;HH Bauschke,2017
2. Beliaev, S.T.: Energy spectrum of a non-ideal Bose gas. Sov. Phys. JETP 34(7), 299 (1958)
3. Boccato, C., Brennecke, C., Cenatiempo, S., Schlein, B.: Bogoliubov theory in the Gross–Pitaevskii limit. Acta Math. 222(2), 219–335 (2019)
4. Boccato, C., Brennecke, C., Cenatiempo, S., Schlein, B.: The excitation spectrum of Bose gases interacting through singular potentials. J. Eur. Math. Soc. 22(7), 2331–2403 (2020)
5. Bogoliubov, N.N.: On the theory of superfluidity. J. Phys. (USSR) 11, 23 (1947)