Landau damping of Bogoliubov excitations in two- and three-dimensional optical lattices at finite temperatures
Landau damping of Bogoliubov excitations in two- and three-dimensional optical lattices at finite temperatures
We study the Landau damping of Bogoliubov excitations in two- and three-dimensional optical lattices at finite temperatures, extending our recent work on one-dimensional (1D) optical lattices. We use a Bose-Hubbard tight-binding model and the Popov approximation to calculate the temperature dependence of the number of condensate atoms ${n}^{\mathrm{c}0}(T)$ in each …