Efficient spectral computation of the stationary states of rotating Bose–Einstein condensates by preconditioned nonlinear conjugate gradient methods

X Antoine, A Levitt, Q Tang - Journal of Computational Physics, 2017 - Elsevier
We propose a preconditioned nonlinear conjugate gradient method coupled with a spectral
spatial discretization scheme for computing the ground states (GS) of rotating Bose–Einstein …

Robust and efficient preconditioned Krylov spectral solvers for computing the ground states of fast rotating and strongly interacting Bose–Einstein condensates

X Antoine, R Duboscq - Journal of Computational Physics, 2014 - Elsevier
Abstract We consider the Backward Euler SPectral (BESP) scheme proposed in [10] for
computing the stationary states of Bose–Einstein Condensates (BECs) through the Gross …

Vortices and vortex lattices in quantum ferrofluids

AM Martin, NG Marchant, DHJ O'Dell… - Journal of Physics …, 2017 - iopscience.iop.org
The experimental realization of quantum-degenerate Bose gases made of atoms with
sizeable magnetic dipole moments has created a new type of fluid, known as a quantum …

A simple and efficient numerical method for computing the dynamics of rotating Bose--Einstein condensates via rotating Lagrangian coordinates

W Bao, D Marahrens, Q Tang, Y Zhang - SIAM Journal on Scientific Computing, 2013 - SIAM
We propose a simple, efficient, and accurate numerical method for simulating the dynamics
of rotating Bose--Einstein condensates (BECs) in a rotational frame with or without long …

BEC2HPC: A HPC spectral solver for nonlinear Schrödinger and rotating Gross-Pitaevskii equations. Stationary states computation

J Gaidamour, Q Tang, X Antoine - Computer Physics Communications, 2021 - Elsevier
We present BEC2HPC which is a parallel HPC spectral solver for computing the ground
states of the nonlinear Schrödinger equation and the Gross-Pitaevskii equation (GPE) …

Arbitrary-angle rotation of the polarization of a dipolar Bose-Einstein condensate

SB Prasad, BC Mulkerin, AM Martin - Physical Review A, 2021 - APS
We have employed the theory of harmonically trapped dipolar Bose-Einstein condensates to
examine the influence of a uniform magnetic field that rotates at an arbitrary angle to its own …

Acceleration of the imaginary time method for spectrally computing the stationary states of Gross–Pitaevskii equations

X Antoine, C Besse, R Duboscq, V Rispoli - Computer Physics …, 2017 - Elsevier
The aim of this paper is to propose a simple accelerated spectral gradient flow formulation
for solving the Gross–Pitaevskii Equation (GPE) when computing the stationary states of …

Low-lying excitations of vortex lattices in condensates with anisotropic dipole-dipole interaction

L Jia, AB Wang, S Yi - Physical Review A, 2018 - APS
We investigated the low-lying collective excitations of quasi-two-dimensional dipolar Bose-
Einstein condensates confined in a rotating harmonic potential using the Bogoliubov–de …

Critical trap aspect ratios for dipolar BEC

C Yuce - The European Physical Journal D, 2011 - Springer
We show that there exists critical trap aspect ratios for a trapped Bose-Einstein condensate
with dipole-dipole interactions. We discuss the role of critical trap aspect ratios on both the …

Collective Excitations in Bose-Einstein Condensates

HJH Al-Jibbouri - 2013 - refubium.fu-berlin.de
Die experimentelle Entdeckung verdünnter ultrakalter Quantengase im Jahre 1995 hat ein
breites Interesse an ultrakalten Atomen und Molekülen hervorgerufen und den Weg zu …