Results 51 to 60 of about 32,263 (260)
Optimal Bilinear Control of Gross--Pitaevskii Equations [PDF]
SIAM Journal on Control and Optimization, 2013 A mathematical framework for optimal bilinear control of nonlinear Schr dinger equations of Gross-Pitaevskii type arising in the description of Bose-Einstein condensates is presented. The obtained results generalize earlier efforts found in the literature in several aspects.
Hintermüller, Michael +3 more
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Comparison of Splitting Methods for Deterministic/Stochastic Gross–Pitaevskii Equation
Mathematical and Computational Applications, 2019 In this paper, we discuss the different splitting approaches to numerically solvethe Gross–Pitaevskii equation (GPE). The models are motivated from spinor Bose–Einsteincondensate (BEC).
Jürgen Geiser, Amirbahador Nasari
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, 2020 An ultradilute quantum droplet is a self-bound liquidlike state recently observed in ultracold Bose-Einstein condensates. In most previous theoretical studies, it is described by a phenomenological low-energy effective theory, termed as the extended ...
Hui Hu, Xia-ji Liu
semanticscholar +1 more source
Multivortex Traveling Waves for the Gross-Pitaevskii Equation and the Adler-Moser Polynomials [PDF]
SIAM Journal on Mathematical Analysis, 2018 For $N\leq34,$ we construct traveling waves with small speed for the Gross-Pitaevskii equation, by gluing $N(N+1)/2$ pairs of degree $\pm1$ vortices of the Ginzburg-Landau equation.
Y. Liu, Juncheng Wei
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Turbulence in the two-dimensional Fourier-truncated Gross–Pitaevskii equation
New Journal of Physics, 2013 We undertake a systematic, direct numerical simulation of the two-dimensional, Fourier-truncated, Gross–Pitaevskii equation to study the turbulent evolutions of its solutions for a variety of initial conditions and a wide range of parameters.
Vishwanath Shukla +2 more
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Existence and nonexistence of traveling waves for the Gross-Pitaevskii equation in tori
Mathematics in Engineering, 2023 In this paper we consider traveling waves for the Gross-Pitaevskii equation which are $ T $-periodic in each variable. We prove that if $ T $ is large enough, there exists a solution as a global minimizer of the corresponding action functional.
Francisco Javier Martínez Sánchez +1 more
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Numerical comparison of mass-conservative schemes for the Gross-Pitaevskii equation [PDF]
Kinetic and Related Models, 2018 In this paper we present a numerical comparison of various mass-conservative discretizations for the time-dependent Gross-Pitaevskii equation. We have three main objectives.
P. Henning, Johan Warnegaard
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Dirac exciton-polariton condensates in photonic crystal gratings. [PDF]
NanophotonicsAbstract Bound states in the continuum have recently been utilized in photonic crystal gratings to achieve strong coupling and ultralow threshold condensation of exciton–polariton quasiparticles with atypical Dirac‐like features in their dispersion relation.
Sigurðsson H, Nguyen HC, Nguyen HS.
europepmc +2 more sources
Physical Review A, 2020 We present a number of solutions to the three-dimensional Gross--Pitaevskii equation describing atomic Bose-Einstein condensates. This model supports elaborate patterns, including excited states bearing vorticity. The coherent structures exhibit striking
Nicolas Boulle +4 more
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Linear "ship waves" generated in stationary flow of a Bose-Einstein condensate past an obstacle [PDF]
, 2006 Using stationary solutions of the linearized two-dimensional Gross-Pitaevskii equation, we describe the ``ship wave'' pattern occurring in the supersonic flow of a Bose-Einstein condensate past an obstacle.
A. Gammal +6 more
core +4 more sources