2012/02/15 by Erich D. Gust, Gust, Erich D., L. E. Reichl +1 · 1 citation
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #Optical properties and cooling technologies in crystalline materials #Quantum Gases (cond-mat.quant-gas) #Quantum Physics (quant-ph) #cond-mat.quant-gas #quant-ph
paper · pdf · doi:10.48550/arxiv.1202.3418
17 pages
arxiv created 2012/02/15 · openalex publication_date 2012/02/15 · arxiv updated 2012/02/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We derive the mean field kinetic equation for the momentum distribution of Bogoliubov excitations (bogolons) in a spatially uniform Bose-Einstein condensate (BEC), with a focus on the collision integrals. We use the method of Peletminksii and Yatsenko rather than the standard non-equilibrium Green's function formalism. This method produces three collision integrals \cal G12, \cal G22 and \cal G31. Only \cal G12 and \cal G22 have been considered by previous authors. The third collision integral \cal G31 contains the effects of processes where one bogolon becomes three and vice versa. These processes are allowed because the total number of bogolons is not conserved. Since \cal G31 is of the same order in the interaction strength as \cal G22, we predict that it will significantly influence the dynamics of the bogolon gas, especially the relaxation of the total number of bogolons to its equilibrium value.