Results 51 to 60 of about 1,617,542 (166)

STABILITY OF BOSE-EINSTEIN CONDENSATES IN A PT-SYMMETRIC DOUBLE-δ POTENTIAL CLOSE TO BRANCH POINTS

Acta Polytechnica, 2014
A Bose-Einstein condensate trapped in a double-well potential, where atoms are incoupled to one side and extracted from the other, can in the mean-field limit be described by the nonlinear Gross-Pitaevskii equation (GPE) with a PT symmetric external ...
Andreas Löhle, Holger Cartarius, Daniel Haag, Dennis Dast, Jörg Main, Günter Wunner Wunner   +5 more
doaj   +1 more source

Modeling Atom Interferometry Experiments with Bose–Einstein Condensates in Power-Law Potentials

Atoms, 2022
Recent atom interferometry (AI) experiments involving Bose–Einstein condensates (BECs) have been conducted under extreme conditions of volume and interrogation time. Numerical solution of the rotating-frame Gross–Pitaevskii equation (RFGPE), which is the
Stephen Thomas, Colson Sapp, Charles Henry, Andrew Smith, Charles A. Sackett, Charles W. Clark, Mark Edwards   +6 more
doaj   +1 more source

Numerical Simulations of Coupled Solitary Waves With Spatially Modulated Non‐Linearity

Advances in Mathematical Physics, Volume 2026, Issue 1, 2026.
This study investigates the dynamics of two coupled solitary waves propagating in media characterised by spatially modulated non‐linearity and variable dispersion. By employing numerical simulations of a system of coupled non‐linear Schrödinger equations (NLSEs) with varying coefficients, we analyse how inhomogeneous physical properties influence ...
Ngaka John Nchejane, Mabatho Thakedi, Shikha Binwal   +2 more
wiley   +1 more source

ON THE LINEAR WAVE REGIME OF THE GROSS-PITAEVSKII EQUATION

, 2010
International audienceWe study long-wavelength asymptotics for the Gross-Pitaevskii equation corresponding to perturbations of a constant state of modulus one.
Danchin, Raphaël, Smets, Didier, Bethuel, Fabrice   +2 more
core   +1 more source

Exact Solutions and Symmetry Operators for the Nonlocal Gross-Pitaevskii Equation with Quadratic Potential

Symmetry, Integrability and Geometry: Methods and Applications, 2005
The complex WKB-Maslov method is used to consider an approach to the semiclassical integrability of the multidimensional Gross-Pitaevskii equation with an external field and nonlocal nonlinearity previously developed by the authors.
Alexander Shapovalov, Andrey Trifonov, Alexander Lisok   +2 more
doaj  

Chiral Solitons With Fractional Temporal Evolution in Quantum Hall Effect

Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.
This study investigates the chiral nonlinear Schrödinger equation for current‐dependent nonlinear wave propagation in the fractional quantum Hall setting when temporal evolution is represented by the conformable fractional derivative. This derivative is defined operationally as the ordinary first time derivative multiplied by a time‐dependent power ...
Elsayed M. E. Zayed, Mona El–Shater, Muhammad Amin S. Murad, Ahmed H. Arnous, Oswaldo González-Gaxiola, Anjan Biswas, Oluwole D. Makinde   +6 more
wiley   +1 more source

The stochastic Gross-Pitaevskii equation: II

, 2003
We provide a derivation of a more accurate version of the stochastic Gross-Pitaevskii equation, as introduced by Gardiner et al (2002 J. Phys. B: At. Mol. Opt. Phys. 35 1555).
M J Davis, Davis, M. J., C W Gardiner, Gardiner, C. W.   +3 more
core   +1 more source

Conservation Laws and Dynamics of Solitons to the Multicomponent Fractional Gross–Pitaevskii System: Application in the Bose–Einstein Condensation

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In this work, we study the β‐fractional multicomponent Gross–Pitaevskii (G–P) system, which plays an important role in modeling Bose–Einstein condensates (BECs) and propagation in nonlinear waves. In Bose–Einstein condensation, the G–P equation is of great importance as it describes the condensate wave function’s behavior.
Naila Nasreen, Usman Younas, Muhammad Arshad, Zhaoliang Jiang, David Yaro, Smritijit Sen   +5 more
wiley   +1 more source

Derivation of the Gross-Pitaevskii dynamics through renormalized excitation number operators

Forum of Mathematics, Sigma
We revisit the time evolution of initially trapped Bose-Einstein condensates in the Gross-Pitaevskii regime. We show that the system continues to exhibit BEC once the trap has been released and that the dynamics of the condensate is described by the time-
Christian Brennecke, Wilhelm Kroschinsky
doaj   +1 more source

Supercurrents and Tunneling in Massive Many‐Vortex Necklaces and Star‐Lattices

Annalen der Physik, Volume 537, Issue 12, December 2025.
It is numerically shown how massive many‐vortex systems, in a mixture of Bose–Einstein condensates, can host the bosonic tunneling of the infilling component in an almost‐periodic way when the vortices are organized in necklaces or star‐lattices. The purpose is to explore the conditions for the onset of Josephson supercurrents in rotating many‐vortex ...
Alice Bellettini, Vittorio Penna
wiley   +1 more source