Results 91 to 100 of about 3,107,805 (229)

Using Artificial Neural Networks to Solve the Gross–Pitaevskii Equation

Axioms
The current work proposes the incorporation of an artificial neural network to solve the Gross–Pitaevskii equation (GPE) efficiently, using a few realistic external potentials.
Ioannis G. Tsoulos, Vasileios N. Stavrou, Dimitrios Tsalikakis   +2 more
doaj   +1 more source

Berry phases for the nonlocal Gross-Pitaevskii equation with a quadratic potential

, 2005
A countable set of asymptotic space -- localized solutions is constructed by the complex germ method in the adiabatic approximation for the nonstationary Gross -- Pitaevskii equation with nonlocal nonlinearity and a quadratic potential.
A V Shapovalov, A Yu Trifonov, Bang O Krolikowski W Wyller J Rasmussen J J, Belov V V, Belov V V, Belov V V, Berry M V, Berry M V, Biswas S N, Chen Z-D Liang J-Q Shen S-Q Xie W F, Deconinck B Kutz J N, Dodonov V V, F N Litvinets, Ginibre J, Gross E P, Hannay J H, Hartree D R, Hartree D R, Hartree D R, Hayashi N, Kivshar Y S, Klyshko D N, Landau L D, Lisok A L, Lisok A L, Maslov V P, Maslov V P, Messia A, Pitaevskii L P, Pitaevskii L P, Pitaevskii L P, Shchesnovich V S, Trifonov A Yu, Vinitskii S I, Yakubovich V A, Zakharov V E, Zakharov V E   +36 more
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On the linear wave regime of the Gross-Pitaevskii equation

, 2008
We study a long wave-length asymptotics for the Gross-Pitaevskii equation corresponding to perturbation of a constant state of modulus one. We exhibit lower bounds on the first occurence of possible zeros (vortices) and compare the solutions with the ...
Bethuel, Fabrice, Danchin, Raphael, Smets, Didier   +2 more
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Derivation of the Gross-Pitaevskii Equation for Rotating Bose Gases [PDF]

, 2005
We prove that the Gross-Pitaevskii equation correctly describes the ground state energy and corresponding one-particle density matrix of rotating, dilute, trapped Bose gases with repulsive two-body interactions.
E. Lieb, R. Seiringer
semanticscholar   +1 more source

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
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GPUE: Graphics Processing Unit Gross-Pitaevskii Equation solver

Journal of Open Source Software, 2018
Bose–Einstein Condensates (BECs) are superfluid systems consisting of bosonic atoms that have been cooled and condensed into a single, macroscopic ground state (Fetter, 2009; Pethick & Smith, 2008).
J. Schloss, J. Riordan
semanticscholar   +1 more source

Analytical Solution for the Gross-Pitaevskii Equation in Phase Space and Wigner Function

Advances in High Energy Physics, 2020
In this work, we study symplectic unitary representations for the Galilei group. As a consequence a nonlinear Schrödinger equation is derived in phase space.
A. X. Martins, R. A. S. Paiva, G. Petronilo, R. R. Luz, R. G. G. Amorim, S. C. Ulhoa, T. M. R. Filho   +6 more
doaj   +1 more source

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
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Hydrodynamical form for the one-dimensional Gross-Pitaevskii equation

Electronic Journal of Differential Equations, 2014
We establish a well-posedness result for the hydrodynamical form (HGP) of the one dimensional Gross-Pitaevskii equation (GP) via the classical form of this equation.
Haidar Mohamad
doaj  

Stationary and Dynamical Solutions of the Gross-Pitaevskii Equation for a Bose-Einstein Condensate in a PT symmetric Double Well [PDF]

, 2017
We investigate the Gross-Pitaevskii equation for a Bose-Einstein condensate in a PT symmetric double-well potential by means of the time-dependent variational principle and numerically exact solutions.
Cartarius , Holger, Dast , Dennis, Eichler , Rüdiger, Haag , Daniel, Main , Jorg, Wunner , Günter   +5 more
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