Results 81 to 90 of about 15,069 (140)

Moving gap solitons in periodic potentials

, 2007
We address existence of moving gap solitons (traveling localized solutions) in the Gross-Pitaevskii equation with a small periodic potential. Moving gap solitons are approximated by the explicit localized solutions of the coupled-mode system.
Alfimov, Chugunova, de Sterke, Goodman, Groves, Groves, Iooss, Kevrekidis, Kivshar, Pankov, Pelinovsky, Sakaguchi, Schneider, Sánchez   +13 more
core   +1 more source

Semiclassical Corrections to a Static Bose-Einstein Condensate at Zero Temperature

, 1999
In the mean-field approximation, a trapped Bose-Einstein condensate at zero temperature is described by the Gross-Pitaevskii equation for the condensate, or equivalently, by the hydrodynamic equations for the number density and the current density. These
A. Griffin, A. L. Fetter, C. C. Bradley, D. A. Huse, D. M. Stamper-Kurn, E. Braaten, E. Braaten, E. Timmermans, Eric Braaten, G. Baym, Jens O. Andersen, K. B. Davis, M. H. Anderson, P. C. Hohenberg, S. Inouye, S. Stringari, T. Haugset, V. N. Popov, V. V. Goldman   +18 more
core   +2 more sources

Energy eigenfunctions of the 1D Gross-Pitaevskii equation

, 2013
We developed a new and powerful algorithm by which numerical solutions for excited states in a gravito optical surface trap have been obtained. They represent solutions in the regime of strong nonlinearities of the Gross--Pitaevskii equation.
Abele, Abramowitz, Bücker, Carr, Choi, Chu, Claus Lämmerzahl, Colella, Conte, Dalfovo, Edwards, Ertan Göklü, Horák, Jianxin, Kasevich, Landau, Miles, Muruganandam, Nesvizhevsky, Neuberger, Olver, Penrose, Richardson, Schneider, van Zoest, Vudragović, Wallis, Yao, Želimir Marojević   +28 more
core   +1 more source

Fractonic superfluids

Physical Review Research, 2020
We propose a superfluid phase of “many-fracton system” in which charge and total dipole moments are conserved quantities. In this work, both microscopic model and long-wavelength effective theory are analyzed. We start with a second quantized microscopic
Jian-Keng Yuan, Shuai A. Chen, Peng Ye
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

Pade approximations of solitary wave solutions of the Gross-Pitaevskii equation

, 2003
Pade approximants are used to find approximate vortex solutions of any winding number in the context of Gross-Pitaevskii equation for a uniform condensate and condensates with axisymmetric trapping potentials.
Berloff N G, Berloff N G, Caradoc-Davies B M, Donnelly R J, Fetter A L, Ginzburg V L, Gross E P, Jones C A, Jones C A, Konotop V V, Natalia G Berloff, Nazarenko S, Pitaevskii L P, Roberts P H   +13 more
core   +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

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

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

Dynamics of Bose-Einstein Condensates Subject to the Pöschl-Teller Potential through Numerical and Variational Solutions of the Gross-Pitaevskii Equation. [PDF]

Materials (Basel), 2020
Pereira LC, Nascimento VAD.
europepmc   +1 more source