Results 61 to 70 of about 634 (180)
STABILITY OF BOSE-EINSTEIN CONDENSATES IN A PT-SYMMETRIC DOUBLE-δ POTENTIAL CLOSE TO BRANCH POINTS
Acta Polytechnica, 2014 A Bose-Einstein condensate trapped in a double-well potential, where atoms are incoupled to one side and extracted from the other, can in the mean-field limit be described by the nonlinear Gross-Pitaevskii equation (GPE) with a PT symmetric external ...
Andreas Löhle +5 more
doaj +1 more source
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
The Cauchy problem for the Gross–Pitaevskii equation
Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2006 We prove global wellposedness of the two-dimensional and three-dimensional Gross–Pitaevskii equations in the natural energy space. Résumé On établit que le problème de Cauchy pour l'équation de Gross–Pitaevskii est bien posé dans l'espace d'énergie naturel, en dimensions deux et trois.
openaire +3 more sources
On the linear wave regime of the Gross-Pitaevskii equation [PDF]
Journal d'Analyse Mathématique, 2010 We study a long wave-length asymptotics for the Gross-Pitaevskii equation corresponding to perturbation of a constant state of modulus one. We exhibit lower bounds on the first occurence of possible zeros (vortices) and compare the solutions with the corresponding solutions to the linear wave equation or variants.
Bethuel, Fabrice +2 more
openaire +2 more sources
Advanced Quantum Technologies, Volume 8, Issue 6, June 12, 2025.Light–pulse atom interferometry with ultra‐cold quantum gases is proposed and numerically benchmarked as a competitive platform to test the modulo‐square hypothesis of Born's rule. The interferometric protocol utilizes a combination of double Bragg and single Raman diffraction pulses to induce multipath interference in Bose–Einstein condensates and ...
Simon Kanthak +3 more
wiley +1 more source
Symmetry, Integrability and Geometry: Methods and Applications, 2005 The complex WKB-Maslov method is used to consider an approach to the semiclassical integrability of the multidimensional Gross-Pitaevskii equation with an external field and nonlocal nonlinearity previously developed by the authors.
Alexander Shapovalov +2 more
doaj
New opportunities for creating quantum states of light and matter with intense laser fields
Nanophotonics, Volume 14, Issue 11, Page 1837-1855, June 2025.Abstract Nonlinear dynamics provide an indispensable resource for creating quantum states of light, as well as other bosonic systems. Seminal work using second‐ and third‐order nonlinear optical crystals, cavity quantum electrodynamics, and superconducting circuits, have enabled generating squeezed states, as well as various non‐Gaussian quantum states
Nicholas Rivera
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
The Gross–Pitaevskii equation: Bäcklund transformations and admitted solutions [PDF]
Ricerche di Matematica, 2018 Bäcklund transformations are applied to study the Gross-Pitaevskii equation. Supported by previous results, a class of Bäcklund transformations admitted by this equation are constructed. Schwartzian derivative as well as its invariance properties turn out to represent a key tool in the present investigation. Examples and explicit solutions of the Gross-
Carillo, Sandra, Zullo, Federico
openaire +3 more sources
Optical control of topological end states via soliton formation in a 1D lattice
Nanophotonics, Volume 14, Issue 6, Page 769-775, April 2025.Abstract Discrete spatial solitons are self‐consistent solutions of the discrete nonlinear Schrödinger equation that maintain their shape during propagation. Here we show, using a pump‐probe technique, that soliton formation can be used to optically induce and control a linear topological end state in the bulk of a Su–Schrieffer–Heeger lattice, using ...
Christina Jörg +3 more
wiley +1 more source