Results 211 to 220 of about 33,314 (234)

Long-Time Asymptotics for the Spin-1 Gross–Pitaevskii Equation

, 2021
X. Geng, Kedong Wang, Mingming Chen
semanticscholar   +1 more source

Comparative Analysis of Numerical with Optical Soliton Solutions Ofstochastic Gross-Pitaevskii Equation in Dispersive Media

Social Science Research Network, 2022
M. Baber, N. Ahmed, M. Yasin, M. Iqbal, A. Akgül, M. Riaz, M. Rafiq, A. Raza   +7 more
semanticscholar   +1 more source

Accurate Numerical Eigenstates of the Gross-Pitaevskii Equation

2020
We consider a bosonic gas of N bosons. Hartree-Fock approximation allows for a product wave function of single particle solutions \({\Psi (\vec {x_i})}\) $$\displaystyle \Psi (x_1, x_2, \cdots , x_N) = \prod _i^N \Psi (\vec {x}_i) $$ Using a pseudo-potential to account for the condensate self-interaction, the Hamiltonian is found to be ...
Bo Gervang, Christian Bach
openaire   +2 more sources

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.
openaire   +1 more source

Gross‐Pitaevskii equation: Variational approach

physica status solidi (c), 2005
In this paper we present an analytical method for solving the Gross-Pitaevskii equation for the Bose-Einstein condensation in the dilute atomic alkali gases. Using a variational ansatz, we are able to obtain an analytical solution for the order parameter and for the chemical potential as a function of a unique universal parameter: λ/(ħ ω l) (l is the ...
Julio C. Drake Perez, C. Trallero‐Giner, V. Lopez Richard, C. Trallero‐Herrero, Joseph L. Birman   +4 more
openaire   +1 more source

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
openaire   +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

The Gross-Pitaevskii Equation and Eigenvector Nonlinearities: Numerical Methods and Algorithms

SIAM Review
P. Henning, E. Jarlebring
semanticscholar   +1 more source

Concentrated vorticity in the Gross-Pitaevskii equations

2016
We will present recent results describing the behavior of certain solutions of the Gross-Pitaevskii equations, in a particular scaling regime, for initial data with concentrated vorticity.
openaire   +1 more source

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.
openaire   +1 more source