Results 11 to 20 of about 1,617,542 (166)
Logarithmic Gross-Pitaevskii equation [PDF]
, 2022 31 pagesWe consider the Schrödinger equation with a logarithmic nonlinearty and non-trivial boundary conditions at infinity. We prove that the Cauchy problem is globally well posed in the energy space, which turns out to correspond to the energy space ...
Carles, Rémi, Ferriere, Guillaume
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Semiclassical Spectral Series Localized on a Curve for the Gross–Pitaevskii Equation with a Nonlocal Interaction [PDF]
, 2021 We propose the approach to constructing semiclassical spectral series for the generalized multidimensional stationary Gross–Pitaevskii equation with a nonlocal interaction term.
Anton E. Kulagin +8 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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Nonlinear quantum search using the Gross–Pitaevskii equation
New Journal of Physics, 2013 We solve the unstructured search problem in constant time by computing with a physically motivated nonlinearity of the Gross–Pitaevskii type. This speedup comes, however, at the novel expense of increasing the time-measurement precision.
David A Meyer, Thomas G Wong
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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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Vortex helices for the Gross-Pitaevskii equation [PDF]
, 2005 International audienceWe prove the existence of travelling vortex helices to the Gross-Pitaevskii equation in R^3. These solutions have an infi nite energy, are periodic in the direction of the axis of the helix and have a degree one at infinity in the ...
David Chiron, Chiron, David
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Dilute dipolar quantum droplets beyond the extended Gross-Pitaevskii equation
Physical Review Research, 2019 Dipolar quantum droplets are exotic quantum objects that are self-bound due to the subtle balance of attraction, repulsion, and quantum correlations. Here we present a systematic study of the critical atom number of these self-bound droplets, comparing ...
Fabian Böttcher +10 more
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q-Deformed Gross Pitaevskii Equation [PDF]
, 2023 We derive the Gross Pitaevskii equation (GPE) for condensate of bosons obeying deformed statistics under external potential and inter-particle interaction. First, we obtain the well-known Schrodinger equation.
Maleki, Mahnaz, Mohammadzadeh, Hosein
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Resonant Solutions to Gross-Pitaevskii Equation With Periodic Potential [PDF]
, 2022 Over the years, many methods have been used for solving the Gross-Pitaevskii equation which is also known as a nonlinear Schrodinger equation. In this thesis, we study a nonlinear polyharmonic equation with a periodic potential and quasi-periodic ...
Duaibes, Arien
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Dynamics of a Gross-Pitaevskii Equation with Phenomenological Damping
International Journal of Differential Equations, 2013 We study the dynamical behavior of solutions of an n-dimensional nonlinear Schrödinger equation with potential and linear derivative terms under the presence of phenomenological damping.
Renato Colucci +2 more
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