Mathematical theory and numerical methods for Bose-Einstein condensation

W Bao, Y Cai - arXiv preprint arXiv:1212.5341, 2012 - arxiv.org
In this paper, we mainly review recent results on mathematical theory and numerical
methods for Bose-Einstein condensation (BEC), based on the Gross-Pitaevskii equation …

Computational methods for the dynamics of the nonlinear Schrödinger/Gross–Pitaevskii equations

X Antoine, W Bao, C Besse - Computer Physics Communications, 2013 - Elsevier
In this paper, we begin with the nonlinear Schrödinger/Gross–Pitaevskii equation
(NLSE/GPE) for modeling Bose–Einstein condensation (BEC) and nonlinear optics as well …

[图书][B] Spontaneous symmetry breaking, self-trapping, and Josephson oscillations

BA Malomed - 2013 - Springer
Properties of collective excitations in physical systems are determined, in generic situations,
by the interplay of a few fundamental ingredients: spatial dimension, external potential …

Efficient numerical methods for computing ground states and dynamics of dipolar Bose–Einstein condensates

W Bao, Y Cai, H Wang - Journal of Computational Physics, 2010 - Elsevier
New efficient and accurate numerical methods are proposed to compute ground states and
dynamics of dipolar Bose–Einstein condensates (BECs) described by a three-dimensional …

Mesoscopic ensembles of polar bosons in triple-well potentials

T Lahaye, T Pfau, L Santos - Physical review letters, 2010 - APS
Mesoscopic dipolar Bose gases in triple-well potentials offer a minimal system for the
analysis of the nonlocal character of the dipolar interaction. We show that this nonlocal …

Observation of giant positive magnetoresistance in a cooper pair insulator

HQ Nguyen, SM Hollen, MD Stewart Jr, J Shainline… - Physical review …, 2009 - APS
Ultrathin amorphous Bi films, patterned with a nanohoneycomb array of holes, can exhibit an
insulating phase with transport dominated by the incoherent motion of Cooper pairs (CP) of …

Anisotropic acoustics in dipolar Fermi gases

RRW Wang, JL Bohn - Physical Review A, 2023 - APS
We consider plane wave modes in ultracold, but not quantum degenerate, dipolar Fermi
gases in the hydrodynamic limit. Longitudinal waves present anisotropies in both the speed …

Symmetry breaking of a matter-wave soliton in a double-well potential formed by spatially confined spin-orbit coupling

ZJ Ye, YX Chen, YY Zheng, XW Chen, B Liu - Chaos, Solitons & Fractals, 2020 - Elsevier
We consider the symmetry breaking of a matter-wave soliton formed by spinor Bose-Einstein
condensates (BECs) illuminated by a two-spot laser beam. This laser beam introduces spin …

Spontaneous symmetry breaking of Bose-Fermi mixtures in double-well potentials

SK Adhikari, BA Malomed, L Salasnich, F Toigo - Physical Review A—Atomic …, 2010 - APS
We study the spontaneous symmetry breaking (SSB) of a superfluid Bose-Fermi (BF) mixture
in a double-well potential (DWP). The mixture is described by the Gross-Pitaevskii equation …

Different effective Hamiltonians in a periodic-driven Bose-Josephson junction

X Lin, Z Rao, M Gong - Physical Review E, 2024 - APS
The bosonic Josephson junction, one of the maximally simple models for periodic-driven
many-body systems, has been intensively studied in the past two decades. Here, we revisit …