TY - JOUR
T1 - A Preconditioned Conjugated Gradient Method for Computing Ground States of Rotating Dipolar Bose-Einstein Condensates via Kernel Truncation Method for Dipole-Dipole Interaction Evaluation
AU - Xavier Antoine, Qinglin Tang & Yong Zhang
JO - Communications in Computational Physics
VL - 4
SP - 966
EP - 988
PY - 2018
DA - 2018/06
SN - 24
DO - http://doi.org/10.4208/cicp.2018.hh80.11
UR - https://global-sci.org/intro/article_detail/cicp/12314.html
KW - Rotating dipolar BEC, Dipole-Dipole Interaction, Preconditioned Conjugate Gradient method, Kernel Truncation Method, ground state.
AB - <p style="text-align: justify;">In this paper, we propose an efficient and accurate method to compute the
ground state of 2D/3D rotating dipolar BEC by incorporating the Kernel Truncation
Method (KTM) for Dipole-Dipole Interaction (DDI) evaluation into the newly-developed
Preconditioned Conjugate Gradient (PCG) method [9]. Adaptation details of KTM
and PCG, including multidimensional discrete convolution acceleration for KTM, choice
of the preconditioners in PCG, are provided. The performance of our method is confirmed with extensive numerical tests, with emphasis on spectral accuracy of KTM and
efficiency of ground state computation with PCG. Application of our method shows
some interesting vortex lattice patterns in 2D and 3D respectively.</p>