GPELab, a Matlab toolbox to solve Gross–Pitaevskii equations I: Computation of stationary solutions
Abstract This paper presents GPELab (Gross–Pitaevskii Equation Laboratory), an advanced
easy-to-use and flexible Matlab toolbox for numerically simulating many complex physics …
easy-to-use and flexible Matlab toolbox for numerically simulating many complex physics …
GPELab, a Matlab toolbox to solve Gross–Pitaevskii equations II: Dynamics and stochastic simulations
GPELab is a free Matlab toolbox for modeling and numerically solving large classes of
systems of Gross–Pitaevskii equations that arise in the physics of Bose–Einstein …
systems of Gross–Pitaevskii equations that arise in the physics of Bose–Einstein …
Modeling and computation of Bose-Einstein condensates: stationary states, nucleation, dynamics, stochasticity
The aim of this chapter is first to give an introduction to the derivation of the Gross-Pitaevskii
Equations (GPEs) that arise in the modeling of Bose-Einstein Condensates (BECs). In …
Equations (GPEs) that arise in the modeling of Bose-Einstein Condensates (BECs). In …
Optical solitons in random media
F Abdullaev, J Garnier - Progress in optics, 2005 - Elsevier
Publisher Summary This chapter provides a description of the present status of theory and
experiment about propagation and interaction of optical solitons in random media. A short …
experiment about propagation and interaction of optical solitons in random media. A short …
Dynamics of multidimensional fundamental and vortex solitons in random media
VM Lashkin - Physical Review E, 2024 - APS
We study the dynamics of fundamental and vortex solitons in the framework of the nonlinear
Schrödinger equation with the spatial dimension D⩾ 2 with a multiplicative random term …
Schrödinger equation with the spatial dimension D⩾ 2 with a multiplicative random term …
Representation formula for stochastic Schrödinger evolution equations and applications
A De Bouard, R Fukuizumi - Nonlinearity, 2012 - iopscience.iop.org
We prove a representation formula for solutions of Schrödinger equations with potentials
multiplied by a temporal real-valued white noise in the Stratonovich sense. Using this …
multiplied by a temporal real-valued white noise in the Stratonovich sense. Using this …
Renormalization of a 1d quadratic Schr {\" o} dinger model with additive noise
A Deya, R Fukuizumi, L Thomann - arXiv preprint arXiv:2304.03114, 2023 - arxiv.org
The study is devoted to the interpretation and wellposedness of a stochastic NLS model with
a quadratic nonlinearity and a space-time fractional noise. We focus on a rough regime …
a quadratic nonlinearity and a space-time fractional noise. We focus on a rough regime …
Optical focusing of Bose-Einstein condensates
We theoretically investigate the optical focusing of a rubidium Bose-Einstein condensate
onto a planar surface. Our analysis uses a Gaussian variational method that includes the …
onto a planar surface. Our analysis uses a Gaussian variational method that includes the …
Resonances in a trapped 3D Bose–Einstein condensate under periodically varying atomic scattering length
FK Abdullaev, RM Galimzyanov, M Brtka… - Journal of Physics B …, 2004 - iopscience.iop.org
Nonlinear oscillations of a 3D radial symmetric Bose–Einstein condensate under periodic
variation in time of the atomic scattering length have been studied. The time-dependent …
variation in time of the atomic scattering length have been studied. The time-dependent …
Modulation analysis for a stochastic NLS equation arising in Bose–Einstein condensation
A De Bouard, R Fukuizumi - Asymptotic Analysis, 2009 - content.iospress.com
We study the asymptotic behavior of the solution of a model equation for Bose–Einstein
condensation, in the case where the trapping potential varies randomly in time. The model is …
condensation, in the case where the trapping potential varies randomly in time. The model is …