Lagrangian nonlocal nonlinear Schrödinger equations

M Velasco-Juan, J Fujioka - Chaos, Solitons & Fractals, 2022 - Elsevier
Abstract In 2013 Ablowitz and Musslimani (AM) obtained a nonlocal generalization of the
NLS equation which is integrable, but does not have a standard Lagrangian structure. The …

Unpredictable condensate–depletion dynamics in one-dimensional power-law traps

AR Sakhel, RR Sakhel - Journal of Physics: Condensed Matter, 2022 - iopscience.iop.org
The dynamic depletion of a trapped one-dimensional Bose–Einstein condensate (BEC) that
is driven by laser stirring is numerically explored using beyond mean-field methods. For this …

Anharmonicity-induced phase transition of spin–orbit coupled Bose–Einstein condensates

KZ Zhang, Y Chen - Journal of Physics B: Atomic, Molecular and …, 2023 - iopscience.iop.org
In the mean-field framework, using variational analysis and numerical simulation, we
investigate the effect of anharmonic trap and atomic interaction on the ground-state phases …

[HTML][HTML] Conformable and Caputo's Derivatives in Generalized Viscoelastic Models

J Fujioka, RF Rodríguez, Á Espinosa-Cerón - Applied Mathematics, 2023 - scirp.org
We study two generalized versions of a system of equations which describe the time
evolution of the hydrodynamic fluctuations of density and velocity in a linear viscoelastic …

[图书][B] Dynamics of the Gross-Pitaevskii Equation and Shortcuts to Adiabaticity

S Short - 2021 - search.proquest.com
Procedures which vary the parameters of a model in an adiabatic way have applications in
many areas of quantum technology. However, explicitly employing adiabatic evolution often …