Results 21 to 30 of about 33,314 (234)

Integrability of the Gross-Pitaevskii Equation with Feshbach Resonance management [PDF]

Physics Letters A, 2008
In this paper we study the integrability of a class of Gross-Pitaevskii equations managed by Feshbach resonance in an expulsive parabolic external potential.
Abdullaev, Abdullaev, Ablowitz, Ablowitz, Anderson, Belmonte-Beitia, Blow, Brazhnyi, Chen, Chen, Dalfovo, Dun Zhao, Gardner, Gross, Hong-Gang Luo, Hua-Yue Chai, Kevrekidis, Konotop, Konotop, Konotop, Liang, Mihanache, Novikov, Pelinovsky, Perez-Garcia, Pitaevskii, Roberts, Sakaguchi, Satsuma, Serkin, Serkin, Serkin, Stenger, Tenorio, Weiss, Yuce, Zabusky, Zakharov, Zakharov, Zhao   +39 more
core   +2 more sources

Quantum fluctuations of many-body dynamics around the Gross–Pitaevskii equation [PDF]

Annales de l'Institut Henri Poincare. Analyse non linéar, 2023
We consider the evolution of a gas of $N$ bosons in the three-dimensional Gross-Pitaevskii regime (in which particles are initially trapped in a volume of order one and interact through a repulsive potential with scattering length of the order $1/N$). We
Cristina Caraci, Jakob Oldenburg, B. Schlein   +2 more
semanticscholar   +1 more source

Uniform L∞-bounds for energy-conserving higher-order time integrators for the Gross-Pitaevskii equation with rotation [PDF]

IMA Journal of Numerical Analysis, 2022
In this paper, we consider an energy-conserving continuous Galerkin discretization of the Gross–Pitaevskii equation with a magnetic trapping potential and a stirring potential for angular momentum rotation.
Christian Döding, P. Henning
semanticscholar   +1 more source

Variational approach to multimode nonlinear optical fibers. [PDF]

Nanophotonics
Abstract We analyze the spatiotemporal solitary waves of a graded‐index multimode optical fiber with a parabolic transverse index profile. Using the nonpolynomial Schrödinger equation approach, we derive an effective one‐dimensional Lagrangian associated with the Laguerre–Gauss modes with a generic radial mode number p and azimuthal index m.
Lorenzi F, Salasnich L.
europepmc   +2 more sources

Existence and decay of traveling waves for the nonlocal Gross–Pitaevskii equation [PDF]

Communications in Partial Differential Equations, 2021
We consider the nonlocal Gross–Pitaevskii equation that models a Bose gas with general nonlocal interactions between particles in one spatial dimension, with constant density far away.
André de Laire, Salvador L'opez-Mart'inez   +1 more
semanticscholar   +1 more source

Analytically and numerically, dispersive, weakly nonlinear wave packets are presented in a quasi-monochromatic medium

Results in Physics, 2023
This study applies computational and numerical techniques to develop some novel and accurate solutions for Gross–Pitaevskii (GP) equations. A quantum system of identical bosons is described using the Hartree–Fock approximation and pseudopotential ...
Mostafa M.A. Khater, Suleman H. Alfalqi, Jameel F. Alzaidi, Raghda A.M. Attia   +3 more
doaj   +1 more source

Quantitative Derivation of the Gross‐Pitaevskii Equation [PDF]

Communications on Pure and Applied Mathematics, 2014
Starting from first‐principle many‐body quantum dynamics, we show that the dynamics of Bose‐Einstein condensates can be approximated by the time‐dependent nonlinear Gross‐Pitaevskii equation, giving a bound on the rate of the convergence. Initial data are constructed on the bosonic Fock space applying an appropriate Bogoliubov transformation on a ...
Benedikter N, de Oliveira G, Schlein B
openaire   +4 more sources

The inverse problem for the Gross–Pitaevskii equation [PDF]

Chaos: An Interdisciplinary Journal of Nonlinear Science, 2010
Two different methods are proposed for the generation of wide classes of exact solutions to the stationary Gross–Pitaevskii equation (GPE). The first method, suggested by the work of Kondrat’ev and Miller [Izv. Vyssh. Uchebn. Zaved., Radiofiz IX, 910 (1966)], applies to one-dimensional (1D) GPE.
Malomed, Boris A., Stepanyants, Yury A.
openaire   +5 more sources

The stochastic Gross–Pitaevskii equation: II [PDF]

Journal of Physics B: Atomic, Molecular and Optical Physics, 2003
We provide a derivation of a more accurate version of the stochastic Gross-Pitaevskii equation, as introduced by Gardiner et al. (J. Phys. B 35,1555,(2002). The derivation does not rely on the concept of local energy and momentum conservation, and is based on a quasi-classical Wigner function representation of a "high temperature" master equation for a
Gardiner, C. W., Davis, M. J.
openaire   +4 more sources

Stationary solutions and dynamical evolution of the nonlocal Gross–Pitaevskii equation in spin-2 Bose–Einstein condensates

Results in Physics, 2023
In this paper, we investigate the nonlocal Gross–Pitaevskii equation which describes the phenomena of Bose–Einstein condensates under the mean field approximation.
Hongmei Li, Li Peng, Xuefei Wu
doaj   +1 more source