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arXiv · 1912.06945

Boltzmann-type collision operators for Bogoliubov excitations of Bose-Einstein condensates: A unified framework

Minh-Binh Tran·Yves Pomeau
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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-Enstein 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 $1\leftrightarrow2$ interactions between the condensate and the excited atoms. The other two describe the $2\leftrightarrow2$ and $1\leftrightarrow3$ interactions between the excited atoms themselves.

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Minh-Binh Tran, Yves Pomeau. 2019-12-14. Boltzmann-type collision operators for Bogoliubov excitations of Bose-Einstein condensates: A unified framework. https://doi.org/10.1103/physreve.101.032119

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