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Bogoliubov theory on the disordered lattice |
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| Authors: | Christopher Gaul Cord A. Müller |
| Affiliation: | 11824. GISC, Departamento de Física de Materiales, Universidad Complutense, 28040, Madrid, Spain 21824. CEI Campus Moncloa, UCM-UPM, Madrid, Spain 31824. Centre for Quantum Technologies, National University of Singapore, 117543, Singapore, Singapore |
| Abstract: | Quantum fluctuations of Bose-Einstein condensates trapped in disordered lattices are studied by inhomogeneous Bogoliubov theory. Weak-disorder perturbation theory is applied to compute the elastic scattering rate as well as the renormalized speed of sound in lattices of arbitrary dimensionality. Furthermore, analytical results for the condensate depletion are presented, which are in good agreement with numerical data. |
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