Abstract
We investigate the Landau damping of Bogoliubov excitations in a dilute Bose gas moving in an optical lattice at a finite temperature. Using a 1D tight-binding model, we explicitly obtain the Landau damping rate, the sign of which determines the stability of the condensate. We find that the sign changes at a certain velocity, which is exactly the same as the critical velocity determined by the Landau criterion of superfluidity. This coincidence reveals the microscopic mechanism of the Landau instability.
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Iigaya, K., Konabe, S., Danshita, I. et al. Instability of Bose-Einstein condensates moving in optical lattices. Laser Phys. 17, 215–220 (2007). https://doi.org/10.1134/S1054660X07020284
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DOI: https://doi.org/10.1134/S1054660X07020284