Amplitude and phase mode in a Bose Einstein condensate
arXiv:1109.3377
Abstract
We show that starting from the Heisenberg equations of motion for Bose annihilation and creation operators and using an appropriate transformation, we can split the Bogoliubov mode into a free particle mode and the amplitude mode. We show this for both the free Bose gas as well as the Bose gas in an optical lattice.
3 pages, 2 figures