Results 101 to 110 of about 2,535 (170)

Stability analysis of 3D cubic-quintic Gross–Pitaevskii equation with elastic and inelastic collisions

AIP Advances
In this paper, we study the stability of three-dimensional Bose–Einstein condensates of finite temperatures at which both elastic and inelastic collisions are taken into account.
Rajmohan Sasireka, Olivier Tiokeng Lekeufack, Ambikapathy Uthayakumar, Subramaniyan Sabari   +3 more
doaj   +1 more source

Finite volumes for the Gross-Pitaevskii equation

We study the approximation by a semi-discrete finite-volume scheme of the Gross-Pitaevskii equation with time-dependent potential in two dimensions, performing a two-point flux approximation scheme in space. We rigorously analyze the error bounds relying
Chauleur, Quentin
core  

Global solutions for 3D nonlocal Gross-Pitaevskii equations with rough data

Electronic Journal of Differential Equations, 2012
We study the Cauchy problem for the Gross-Pitaevskii equation with a nonlocal interaction potential of Hartree type in three space dimensions. If the potential is even and positive definite or a positive function and its Fourier transform decays ...
Hartmut Pecher
doaj  

Asymptotics for the travelling waves in the Gross-Pitaevskii equation

, 2005
We investigate the asymptotic behaviour of the subsonic travelling waves of finite energy in the Gross-Pitaevskii equation in dimension larger than two.
Gravejat, Philippe
core  

Leapfrogging vortex rings for the three dimensional Gross-Pitaevskii equation

, 2017
39 pages, 2 figuresLeapfrogging motion of vortex rings sharing the same axis of symmetry was first predicted by Helmholtz in his famous work on the Euler equation for incompressible fluids.
Jerrard, Robert L., Smets, Didier
core  

The gravitational bending of acoustic Schwarzschild black hole. [PDF]

Eur Phys J C Part Fields, 2023
Qiao CK, Zhou M.
europepmc   +1 more source

Stationary and Dynamical Solutions of the Gross-Pitaevskii Equation for a Bose-Einstein Condensate in a PT symmetric Double Well

, 2017
We investigate the Gross-Pitaevskii equation for a Bose-Einstein condensate in a PT symmetric double-well potential by means of the time-dependent variational principle and numerically exact solutions.
Wunner , Günter, Eichler , Rüdiger, Main , Jorg, Dast , Dennis, Cartarius , Holger, Haag , Daniel   +5 more
core  

Interaction between an Impurity and Nonlinear Excitations in a Polariton Condensate. [PDF]

Entropy (Basel), 2022
Jia C, Liang Z.
europepmc   +1 more source

Deconstructing dynamics of symmetry breaking. [PDF]

Proc Natl Acad Sci U S A
Suzuki F, Zurek WH.
europepmc   +1 more source

Fragmentation and correlations in a rotating Bose-Einstein condensate undergoing breakup. [PDF]

Sci Rep, 2023
Dutta S, Lode AUJ, Alon OE.
europepmc   +1 more source