Results 51 to 60 of about 2,535 (170)
An Efficient Compact Finite Difference Method for the Solution of the Gross-Pitaevskii Equation
Advances in Condensed Matter Physics, 2015 We present an efficient, unconditionally stable, and accurate numerical method for the solution of the Gross-Pitaevskii equation. We begin with an introduction on the gradient flow with discrete normalization (GFDN) for computing stationary states of a ...
Rongpei Zhang, Jia Liu, Guozhong Zhao
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Dynamical Symmetry and Breathers in a Two-Dimensional Bose Gas
Physical Review X, 2019 A fluid is said to be scale invariant when its interaction and kinetic energies have the same scaling in a dilation operation. In association with the more general conformal invariance, scale invariance provides a dynamical symmetry which has profound ...
R. Saint-Jalm +7 more
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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
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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
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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
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Stochastic fluctuations in the Gross-Pitaevskii equation [PDF]
, 2007 We study from a mathematical point of view a model equation for Bose Einstein condensation, in the case where the trapping potential varies randomly in time.
De Bouard, Anne, Fukuizumi, Reika
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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
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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
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Rigorous Derivation of the Gross-Pitaevskii Equation
, 2017 The time-dependent Gross-Pitaevskii equation describes the dynamics of initially trapped Bose-Einstein condensates. We present a rigorous proof of this fact starting from a many-body bosonic Schrödinger equation with a short-scale repulsive interaction ...
Erdős, László +2 more
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Solutions of the Gross-Pitaevskii equation in prolate spheroidal coordinates
, 2020 With the help of the method of similarity transformations, an approach is considered that makes it possible to find particular solutions of the Gross–Pitaevskii equation with a nonstationary coefficient of nonlinearity in prolate spheroidal coordinates ...
Shapovalov, Alexander V. +1 more
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