Boltzmann-type collision operators for Bogoliubov excitations of Bose-Einstein condensates: A unified framework.
basic_science · Level V
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- Record sourced from PubMed, PMID 32289980.
- Also identified by DOI 10.1103/PhysRevE.101.032119.
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Abstract
Starting from the Bogoliubov diagonalization for the Hamiltonian of a weakly interacting Bose gas under the presence of a Bose-Einstein condensate, we derive the kinetic equation for the Bogoliubov excitations. Without dropping any of the commutators, we find three collisional processes. One of them describes the 1↔2 interactions between the condensate and the excited atoms. The other two describe the 2↔2 and 1↔3 interactions between the excited atoms themselves.