Disordered Bosons: Condensate and Excitations
K.G. Singh, D.S. Rokhsar
TL;DR
This paper investigates the effects of disorder on bosonic condensates and excitations in a 2D Bose Hubbard model using numerical Bogoliubov approximation, providing insights relevant to experimental systems like helium in porous media.
Contribution
It introduces a numerical approach to analyze disordered bosonic systems, calculating condensate properties and excitations within the Bogoliubov framework.
Findings
Disorder causes spatial variation in the condensate wavefunction.
Calculated condensate fraction and superfluid density decrease with disorder.
Density of states shows characteristic features influenced by disorder.
Abstract
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 adsorbed in porous media.
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