Results 141 to 150 of about 33,314 (234)

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

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, Milivoj R. Belic, Nikola Z. Petrovic   +2 more
doaj  

The stochastic Gross-Pitaevskii equation [PDF]

Journal of Physics B: Atomic, Molecular and Optical Physics, 2002
C W Gardiner, J R Anglin, T I A Fudge
openaire   +1 more source

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, Alexander Shapovalov, Andrey Trifonov   +2 more
doaj  

The stochastic Gross-Pitaevskii equation: III

, 2006
A generalised stochastic Gross-Pitaevskii equation describing a partially condensed trapped Bose gas with rotating thermal component is presented. We elucidate the manner in which the rotation changes the role of the high energy cutoff and introduces centrifugal effects in the classical field evolution.
Bradley, A. S., Gardiner, C. W.
openaire   +2 more sources

The Partition Function of the Bose-Einstein Condensation in Parabolic Trap

Makara Seri Sains, 2012
We have discussed the partition function of the Bose-Einstein condensation in parabolic trap associated to the one-dimensional Gross-Pitaevskii equation. The partition function itself is constructed by considering all the energy levels of the macroscopic
Sinta Latifa, Teguh Budi Prayitno
doaj  

Derivation of the Time Dependent Gross-Pitaevskii Equation in Two Dimensions. [PDF]

Commun Math Phys, 2019
Jeblick M, Leopold N, Pickl P.
europepmc   +1 more source

Tunable band-gap structure and gap solitons in the generalized Gross-Pitaevskii equation with a periodic potential. [PDF]

Sci Rep, 2018
Huang C, Dong L.
europepmc   +1 more source

Non-autonomous multi-rogue waves for spin-1 coupled nonlinear Gross-Pitaevskii equation and management by external potentials. [PDF]

Sci Rep, 2017
Li L, Yu F.
europepmc   +1 more source

Macroscopic quantum tunnelling of a Bose-Einstein condensate in a Cubic-Plus-Quadratic Well

AAPPS Bulletin
We study the macroscopic quantum tunnelling of an interacting Bose-Einstein condensate in a cubic-plus-quadratic well that was approximately realized in recent experiment.
Rui-Bin Liu, Mingyang Liu, Shizhong Zhang   +2 more
doaj   +1 more source