Bogoliubov Theory of Disordered Bose-Einstein Condensates

Details Bogoliubov Theory of Disordered Bose-Einstein Condensates Bogoliubov Theory of Disordered Bose-Einstein Condensates

2010-09-28

arxiv.org/abs/1009.5448v2

Physics

Condensed Matter

Disordered Systems and Neural Networks

6 pages

Scientific paper

We describe interacting bosons at low temperature in spatially correlated random potentials. By a Bogoliubov expansion around the deformed mean-field condensate, the fundamental Hamiltonian for elementary excitations is derived, achieving an analytical formulation in the case of weak disorder. From this, we calculate the sound velocity and true zero-temperature condensate depletion in correlated disorder and all dimensions.

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