Results 41 to 50 of about 15,069 (140)
Numerical Solution of the Two-Dimensional Gross-Pitaevskii Equation for Trapped Interacting Atoms
, 2000 We present a numerical scheme for solving the time-independent nonlinear Gross-Pitaevskii equation in two dimensions describing the Bose-Einstein condensate of trapped interacting neutral atoms at zero temperature.
Bagnato +8 more
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Travelling waves for the Gross-Pitaevskii equation II [PDF]
, 2008 The purpose of this paper is to provide a rigorous mathematical proof of the existence of travelling wave solutions to the Gross-Pitaevskii equation in dimensions two and three.
A. Bouard de +34 more
core +3 more sources
Discrete Chiral Ballistic Polariton Laser
Laser &Photonics Reviews, Volume 19, Issue 15, August 7, 2025.Planar microcavities in the strong light–matter coupling regime exhibit exciton‐polariton modes with a strong chiral response toward circularly polarized light. This feature is exploited alongside inherent spin‐orbit coupling of cavity light to generate giant discrete optical vortices in polygonal arrays of exciton‐polariton condensates.
Zuzanna Werner +5 more
wiley +1 more source
Spin-wave growth via Shapiro resonances in a spinor Bose-Einstein condensate
Physical Review Research, 2021 We theoretically study the resonant phenomenon in a spin-1 Bose-Einstein condensate periodically driven by a quadratic Zeeman coupling. This phenomenon is closely related to the Shapiro steps in superconducting Josephson junctions, and the previous ...
Yuya Imaeda +2 more
doaj +1 more source
Deriving the Gross-Pitaevskii equation
, 2014 In experiments, Bose-Einstein condensates are prepared by cooling a dilute Bose gas in a trap. After the phase transition has been reached, the trap is switched off and the evolution of the condensate observed.
Benedikter, Niels
core +1 more source
Advanced Quantum Technologies, Volume 8, Issue 7, July 2025.The critical parameters and energies, at which the wave function of the Bose Einstein Condensate in a double well trap exhibit the symmetry breaking, are estimated. The phase space representation of the states is obtained trough the Wigner function and the trends of the negativities are analyzed.
D. J. Nader, E. Serrano‐Ensástiga
wiley +1 more source
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
Self-Similarity Analysis of the Nonlinear Schrödinger Equation in the Madelung Form
Advances in Mathematical Physics, 2018 In the present study a particular case of Gross-Pitaevskii or nonlinear Schrödinger equation is rewritten to a form similar to a hydrodynamic Euler equation using the Madelung transformation.
Imre F. Barna +2 more
doaj +1 more source
Ab initio methods for finite temperature two-dimensional Bose gases
, 2012 The stochastic Gross-Pitaevskii equation and modified Popov theory are shown to provide an ab initio description of finite temperature, weakly-interacting two-dimensional Bose gas experiments.
N. P. Proukakis +3 more
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Bose-Einstein condensation dynamics from the numerical solution of the Gross-Pitaevskii equation [PDF]
, 2002 We study certain stationary and time-evolution problems of trapped Bose-Einstein condensates using the numerical solution of the Gross-Pitaevskii equation with both spherical and axial symmetries. We consider time-evolution problems initiated by changing
Adhikari, Sadhan K. +1 more
core +2 more sources