Results 81 to 90 of about 3,107,805 (229)
Emission of Solitons From an Obstacle Moving in the Bose-Einstein Condensate
Frontiers in Physics, 2021 Dark solitons dynamically generated from a potential moving in a one-dimensional Bose-Einstein condensate are displayed. Based on numerical simulations of the Gross-Pitaevskii equation, we find that the moving obstacle successively emits a series of ...
Yu Song +3 more
doaj +1 more source
Complex Ginzburg–Landau equation for time‐varying anisotropic media
Studies in Applied Mathematics, Volume 153, Issue 3, October 2024.Abstract When extending the complex Ginzburg–Landau equation (CGLE) to more than one spatial dimension, there is an underlying question of whether one is capturing all the interesting physics inherent in these higher dimensions. Although spatial anisotropy is far less studied than its isotropic counterpart, anisotropy is fundamental in applications to ...
Robert A. Van Gorder
wiley +1 more source
The inverse problem for the Gross - Pitaevskii equation [PDF]
, 2010 Two different methods are proposed for the generation of wide classes of exact solutions to the stationary Gross - Pitaevskii equation (GPE). The first method, suggested by the work by Kondrat'ev and Miller (1966), applies to one-dimensional (1D) GPE. It
Boris A. Malomed +6 more
core +2 more sources
Long Time Behavior of Gross-Pitaevskii Equation at Positive Temperature [PDF]
SIAM Journal on Mathematical Analysis, 2017 The stochastic Gross-Pitaevskii equation is used as a model to describe Bose-Einstein condensation at positive temperature. The equation is a complex Ginzburg Landau equation with a trapping potential and an additive space-time white noise. Two important
A. Bouard, A. Debussche, Reika Fukuizumi
semanticscholar +1 more source
Protocol for Nonlinear State Discrimination in Rotating Condensate
Advanced Quantum Technologies, Volume 7, Issue 6, June 2024.An approach to quantum computation leveraging the unique properties of Bose–Einstein condensates is considered. An experiment to implement single‐input quantum state discrimination in an atomtronic quantum interference device consisting of a rotating toroidal condensate is proposed.
Michael R. Geller
wiley +1 more source
Derivation of the Gross-Pitaevskii dynamics through renormalized excitation number operators
Forum of Mathematics, SigmaWe revisit the time evolution of initially trapped Bose-Einstein condensates in the Gross-Pitaevskii regime. We show that the system continues to exhibit BEC once the trap has been released and that the dynamics of the condensate is described by the time-
Christian Brennecke, Wilhelm Kroschinsky
doaj +1 more source
Defect modes of a Bose-Einstein condensate in an optical lattice with a localized impurity
, 2006 We study defect modes of a Bose-Einstein condensate in an optical lattice with a localized defect within the framework of the one-dimensional Gross-Pitaevskii equation.
A. I. Anselm +4 more
core +1 more source
Josephson plasma oscillations and the Gross-Pitaevskii equation: Bogoliubov approach versus two-mode model [PDF]
, 2016 We show that the Josephson plasma frequency for a condensate in a double-well potential, whose dynamics is described by the Gross-Pitaevskii (GP) equation, can be obtained with great precision by means of the usual Bogoliubov approach, whereas the two ...
A. Burchianti, C. Fort, M. Modugno
semanticscholar +1 more source
Slowly rotating Bose Einstein condensate galactic dark matter halos, and their rotation curves
European Physical Journal C: Particles and Fields, 2018 If dark matter is composed of massive bosons, a Bose–Einstein condensation process must have occurred during the cosmological evolution. Therefore galactic dark matter may be in a form of a condensate, characterized by a strong self-interaction.
Xiaoyue Zhang +4 more
doaj +1 more source
Quantum field effects in coupled atomic and molecular Bose-Einstein condensates
, 2001 This paper examines the parameter regimes in which coupled atomic and molecular Bose-Einstein condensates do not obey the Gross-Pitaevskii equation. Stochastic field equations for coupled atomic and molecular condensates are derived using the functional ...
B. Levi +30 more
core +2 more sources