@Article{EAJAM-11-686,
author = {Zhang , YuqingLiu , Xin and Xie , Manting},
title = {Efficient and Accurate Computation of the Bogoliubov-De Gennes Excitations for the Quasi-2D Dipolar Bose-Einstein Condensates},
journal = {East Asian Journal on Applied Mathematics},
year = {2021},
volume = {11},
number = {4},
pages = {686--707},
abstract = {<p style="text-align: justify;">An efficient spectrally accurate multigrid method for the Bogoliubov-de Gennes excitations of the quasi-2D dipolar Bose-Einstein condensates is proposed. The wave
functions/eigenmodes are spatially discretised by the Fourier spectral method. The convolution-type nonlocal potentials are computed in $\mathscr{O}(N log(N))$ operations with a spectral accuracy by the kernel truncation method. In addition, the influence of the model
parameters on the eigenvalue distribution is studied and for various dipole orientations
and an anisotropic external potential the phase diagrams of the eigenmodes are presented. Examples verify the spectral accuracy of the method.</p>},
issn = {2079-7370},
doi = {https://doi.org/10.4208/eajam.301120.250221},
url = {http://global-sci.org/intro/article_detail/eajam/19368.html}
}