Results 81 to 90 of about 1,617,542 (166)
The Dynamical Casimir Effect in quasi-one-dimensional Bose condensates: the breathing ring
Comptes Rendus. PhysiqueWe present a detailed investigation of one of the cleanest examples where it is possible to detect the “analog” Dynamical Casimir Effect in a Bose–Einstein condensate: an ultracold atom gas in toroidal confinement.
Tettamanti, Manuele, Parola, Alberto
doaj +1 more source
Travelling waves for the Gross-Pitaevskii equation II
, 2008 Final version accepted for publication in Communications in Mathematical Physics with a few minor corrections and added remarksThe purpose of this paper is to provide a rigorous mathematical proof of the existence of travelling wave solutions to the ...
Philippe Gravejat +5 more
core +1 more source
Exact soliton solutions of the generalized Gross-Pitaevskii equation based on expansion method
AIP Advances, 2014 We give a more generalized treatment of the 1D generalized Gross-Pitaevskii equation (GGPE) with variable term coefficients. External harmonic trapping potential is fully considered and the nonlinear interaction term is of arbitrary polytropic index of ...
Ying Wang, Yu Zhou
doaj +1 more source
Physical Review ResearchSolving partial differential equations across multiple length scales represents a formidable challenge where reaching high precision can require a prohibitive amount of computer memory or computing time.
Marcel Niedermeier +4 more
doaj +1 more source
International Journal of Applied Mathematics and Computer Science, 2019 The present work departs from an extended form of the classical multi-dimensional Gross–Pitaevskii equation, which considers fractional derivatives of the Riesz type in space, a generalized potential function and angular momentum rotation.
Hendy Ahmed S., Macías-Díaz Jorge E.
doaj +1 more source
Partial Differential Equations in Applied MathematicsWe investigate the spatial profiles of periodic localized modes in attractive Bose-Einstein condensates, by solving the mean-field Gross-Pitaevskii equation in the presence of elliptic-type periodic potential.
Nkeh Oma Nfor +2 more
doaj +1 more source
Dynamics of Bose-Einstein Condensates Subject to the Pöschl-Teller Potential through Numerical and Variational Solutions of the Gross-Pitaevskii Equation. [PDF]
Materials (Basel), 2020 Pereira LC, Nascimento VAD.
europepmc +1 more source
Quantum Gross-Pitaevskii Equation
We introduce a non-commutative generalization of the Gross-Pitaevskii equation for one-dimensional quantum gasses and quantum liquids. This generalization is obtained by applying the time-dependent variational principle to the variational manifold of ...
Verstraete, F +5 more
core
Special solutions of the Riccati equation with applications to the Gross-Pitaevskii nonlinear PDE
Electronic Journal of Differential Equations, 2010 A method for finding solutions of the Riccati differential equation $y' = P(x) + Q(x)y + R(x)y^2$ is introduced. Provided that certain relations exist between the coefficient $P(x)$, $Q(x)$ and $R(x)$, the above equation can be solved in closed form.
Anas Al Bastami +2 more
doaj
Transverse Evolution Operator for the Gross-Pitaevskii Equation in Semiclassical Approximation
Symmetry, Integrability and Geometry: Methods and Applications, 2005 The Gross-Pitaevskii equation with a local cubic nonlinearity that describes a many-dimensional system in an external field is considered in the framework of the complex WKB-Maslov method.
Alexey Borisov +2 more
doaj