Disordered Bosons: Condensate and Excitations

Details Disordered Bosons: Condensate and Excitations Disordered Bosons: Condensate and Excitations

1993-07-19

arxiv.org/abs/cond-mat/9307039v1

Physics

Condensed Matter

RevTeX, 26 pages and 10 postscript figures appended (Figure 9 has three separate plots, so 12 postcript files altogether)

Scientific paper

10.1103/PhysRevB.49.9013

The disordered Bose Hubbard model is studied numerically within the Bogoliubov approximation. First, the spatially varying condensate wavefunction in the presence of disorder is found by solving a nonlinear Schrodinger equation. Using the Bogoliubov approximation to find the excitations above this condensate, we calculate the condensate fraction, superfluid density, and density of states for a two-dimensional disordered system. These results are compared with experiments done with ${}^4{\rm He}$ adsorbed in porous media.

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