Results 131 to 140 of about 33,314 (234)

Global well-posedness for the Gross-Pitaevskii equation with an angular momentum rotational term

, 2008
In this paper, we establish the global well-posedness of the Cauchy problem for the Gross-Pitaevskii equation with an rotational angular momentum term in the space $\Real^2$.Comment: 10 ...
Avron, Bao, Bao, Borisov, Carles, Carles, Cazenave, Gross, Hall, Keel, Landau, Madison, Madison, Matthews, Pitaevskii, Pitaevskii, Zhang   +16 more
core   +1 more source

Interacting bosons in an optical lattice

, 2007
Several models of a strongly interacting Bose gas in an optical lattice are studied within the functional-integral approach. The one-dimensional Bose gas is briefly discussed.
Aftalion, Aizenman, Anderson, Astrakharchik, Ates, Batrouni, Batrouni, Bergkvist, Bose, Bradley, Chevy, Chiofalo, Cornish, Courteille, Dalfovo, Davis, Dickerscheid, DuBois, Duine, Einstein, Fabrocini, Feder, Fetter, Feynman, Fialko, Fisher, Forgacs, Gangardt, Gangardt, Girardeau, Goldstone, Greiner, Greiner, Grimm, Gross, Hohenberg, Hubbard, Huber, Inouye, Jaksch, Jochim, Kampf, Kinoshita, Kleinert, Kotliar, Köhler, Leggett, Liang, Linn, Lu, Menotti, Mermin, Moseley, Nilsen, Ohashi, Olshanii, Papenbrock, Paredes, Paredes, Paredes, Penrose, Pitaevskii, Posazhennikova, Pupillo, Rey, Rigol, Roberts, Stoof, Stringari, Svidzinsky, Tempere, Timmermans, van Oosten, Wölfle, Yukalov, Ziegler, Ziegler, Ziegler, Ziegler, Ziegler, Ziegler, Ziegler, Zwierlein   +82 more
core   +1 more source

Effective Dynamics for N-Solitons of the Gross–Pitaevskii Equation [PDF]

Journal of Nonlinear Science, 2012
18 pages, 11 ...
openaire   +3 more sources

Tensor network methods for the Gross–Pitaevskii equation on fine grids

New Journal of Physics
The Gross–Pitaevskii equation and its generalisations to dissipative and dipolar gases have been very useful in describing dynamics of cold atomic gases, as well as polaritons and other nonlinear systems.
Ryan J J Connor, Callum W Duncan, Andrew J Daley   +2 more
doaj   +1 more source

The Dynamical Casimir Effect in quasi-one-dimensional Bose condensates: the breathing ring

Comptes Rendus. Physique
We present a detailed investigation of one of the cleanest examples where it is possible to detect the “analog” Dynamical Casimir Effect in a Bose–Einstein condensate: an ultracold atom gas in toroidal confinement.
Tettamanti, Manuele, Parola, Alberto
doaj   +1 more source

Optimal error estimates of finite difference methods for the Gross-Pitaevskii equation with angular momentum rotation

Mathematics of Computation, 2012
We analyze finite difference methods for the Gross-Pitaevskii equation with an angular momentum rotation term in two and three dimensions and obtain the optimal convergence rate, for the conservative Crank-Nicolson finite difference (CNFD) method and ...
W. Bao, Yongyong Cai
semanticscholar   +1 more source

Exact soliton solutions of the generalized Gross-Pitaevskii equation based on expansion method

AIP Advances, 2014
We give a more generalized treatment of the 1D generalized Gross-Pitaevskii equation (GGPE) with variable term coefficients. External harmonic trapping potential is fully considered and the nonlinear interaction term is of arbitrary polytropic index of ...
Ying Wang, Yu Zhou
doaj   +1 more source

Spatially localized trains of soliton in attractive Bose-Einstein condensates with periodic potential

Partial Differential Equations in Applied Mathematics
We investigate the spatial profiles of periodic localized modes in attractive Bose-Einstein condensates, by solving the mean-field Gross-Pitaevskii equation in the presence of elliptic-type periodic potential.
Nkeh Oma Nfor, Akoni Brikly Njinabo, Francois Marie Moukam Kakmeni   +2 more
doaj   +1 more source

A Conservative Scheme with Optimal Error Estimates for a Multidimensional Space–Fractional Gross–Pitaevskii Equation

International Journal of Applied Mathematics and Computer Science, 2019
The present work departs from an extended form of the classical multi-dimensional Gross–Pitaevskii equation, which considers fractional derivatives of the Riesz type in space, a generalized potential function and angular momentum rotation.
Hendy Ahmed S., Macías-Díaz Jorge E.
doaj   +1 more source

Decay for travelling waves in the Gross–Pitaevskii equation

Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2004
We study the limit at infinity of the travelling waves of finite energy in the Gross–Pitaevskii equation in dimension larger than two: their uniform convergence to a constant of modulus one and their asymptotic decay. Résumé Nous étudions la limite à l’infini des ondes progressives d’énergie finie pour les équations ...
openaire   +2 more sources