Results 181 to 190 of about 1,617,592 (202)

The Gross–Pitaevskii (GP) Equation

Abstract In the next few chapters we cover some further techniques based on NLS-type equations by focusing on a particularly attractive application in atomic physics: Bose-Einstein condensates (BECs). The mean-field dynamics of BECs can be modeled by the Gross-Pitaevskii (GP) equation which is a generalization of the NLS equation that ...
R. Carretero-González, D.J. Frantzeskakis, P.G. Kevrekidis   +2 more
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On the derivation of the Gross-Pitaevskii equation

2005
This article reflects in its content the talk the author gave at the XVII Congresso dell'Unione Matematica Italiana, held in Milano, 8-13 September 2003. We review about some recent results on the problem of deriving the Gross-Pitaevskii equation in dimension one from the dynamics of a quantum system with a large number of identical bosons.
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Existence and stability of standing waves for the inhomogeneous Gross-Pitaevskii equation with a partial confinement

Journal of Mathematical Analysis and Applications, 2022
Zhiqian He
exaly  

High-dimensional vector solitons for a variable-coefficient partially nonlocal coupled Gross–Pitaevskii equation in a harmonic potential

Applied Mathematics Letters, 2022
Hai-Ping Zhu
exaly  

New Dynamics of the Classical and Nonlocal Gross-Pitaevskii Equation with a Parabolic Potential

Reports on Mathematical Physics, 2020
Da-jun Zhang
exaly  

The Gross–Pitaevskii Equation with a Nonlocal Interaction in a Semiclassical Approximation on a Curve

Symmetry, 2020
Anton Kulagin, Alexander Shapovalov
exaly  

Study of Reconnection and Acoustic Emission of Quantized Vortices in Superfluid by the Numerical Analysis of the Gross–Pitaevskii Equation

Journal of the Physical Society of Japan, 2002
Yuji Hattori, Makoto Tsubota
exaly  

The limit equation for the Gross–Pitaevskii equations and S. Terraciniʼs conjecture

Journal of Functional Analysis, 2012
Kelei Wang, E N Dancer
exaly  

On the Korteweg–de Vries Long-Wave Approximation of the Gross–Pitaevskii Equation II

Communications in Partial Differential Equations, 2009
Didier Smets, Fabrice Bethuel, Philippe Gravejat   +2 more
exaly  

ANALOG GRAVITY IN GROSS-PITAEVSKII EQUATION

We study the dynamics of a Bose-Einstein condensate (BEC) to find solutions that correspond to a sonic black/white hole. In such configurations, the condensate goes from subsonic to supersonic when crossing a particular region that can be understood as a horizon. This is because sound cannot go back from the supersonic to the subsonic region. Therefore,
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