Results 251 to 260 of about 32,263 (260)

Gross-Pitaevskii Equation as the Mean Field Limit of Weakly Coupled Bosons

, 2004
We consider the dynamics of N boson systems interacting through a pair potential N−1Va(xi−xj) where Va(x)=a−3V(x/a). We denote the solution to the N-particle Schrödinger equation by ΨN, t.
A. Elgart, L. Erdős, B. Schlein, H. Yau
semanticscholar   +1 more source

Excitation management of crossed Akhmediev and Ma breather for a nonautonomous partially nonlocal Gross–Pitaevskii equation with an external potential

Nonlinear dynamics, 2020
Yi-Xiang Chen, Fang-Yan Ou-Yang
semanticscholar   +1 more source

On the quantum Gross-Pitaevskii equation

2016
Gegenstand dieser Dissertation ist die Entwicklung neuer variationeller Algorithmen zur Untersuchung von stark korrelierten eindimensionalen Quantenfeldtheorien. Zu diesem Zweck wird das Dirac-Frenkel zeitabhaengige Variationsprinzip auf die Klasse der kontinuierlichen Matrix Produkt Zustaende (cMPS) angewandt.
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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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The Gross-Pitaevskii Equation and Eigenvector Nonlinearities: Numerical Methods and Algorithms

SIAM Review
P. Henning, E. Jarlebring
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Numerical investigation based on direct meshless local Petrov Galerkin (direct MLPG) method for solving generalized Zakharov system in one and two dimensions and generalized Gross–Pitaevskii equation

Engineering computations, 2017
M. Dehghan, M. Abbaszadeh
semanticscholar   +1 more source

Modeling of matter-wave solitons in a nonlinear inductor-capacitor network through a Gross-Pitaevskii equation with time-dependent linear potential.

Physical Review E, 2017
E. Kengne, A. Lakhssassi, Wuyang Liu
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Appendix: The Gross–Pitaevskii equation

2019
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The time-dependent Gross-Pitaevskii equation

2020
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Gross-Pitaevskii Equation for Trapped Bosons

2005
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