Results 91 to 100 of about 1,617,542 (166)

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   +3 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

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

Integral equation for inhomogeneous condensed bosons generalizing the Gross-Pitaevskii differential equation

, 2004
: We give here the derivation of a Gross-Pitaevskii-type equation for inhomogeneous condensed bosons. Instead of the original Gross-Pitaevskii differential equation, we obtain an integral equation that implies less restrictive assumptions than are made ...
Angilella, GGN, Pucci, R, March, NH
core  

Solutions of the Gross-Pitaevskii and time-fractional Gross-Pitaevskii equations for different potentials with Homotopy Perturbation Method

, 2012
In this study, after we have briefly introduced the standard Gross-Pitaevskii equation, we have suggested fractional Gross-Pitaevskii equations to investigate the time-dependent ground state dynamics of the Bose-Einstein condensation of weakly ...
AYDINER, EKREM
core  

Deconstructing dynamics of symmetry breaking. [PDF]

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