Amplitude and phase mode in a Bose Einstein condensate

Aranya B. Bhattacherjee

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arXiv · 1109.3377

Amplitude and phase mode in a Bose Einstein condensate

Aranya B. Bhattacherjee

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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.

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Aranya B. Bhattacherjee. 2011-09-15. Amplitude and phase mode in a Bose Einstein condensate. https://arxiv.org/abs/1109.3377

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