Results 21 to 30 of about 2,535 (170)
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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Logarithmic Gross-Pitaevskii equation
, 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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Gradient flow finite element discretizations with energy-based adaptivity for the Gross-Pitaevskii equation [PDF]
, 2021 We present an effective adaptive procedure for the numerical approximation of the steady-state Gross–Pitaevskii equation. Our approach is solely based on energy minimization, and consists of a combination of a novel adaptive finite element mesh ...
Stamm, Benjamin +2 more
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Orbital frontiers: harnessing higher modes in photonic simulators. [PDF]
NanophotonicsAbstract Photonic platforms have emerged as versatile and powerful classical simulators of quantum dynamics, providing clean, controllable optical analogs of extended structured (i.e., crystalline) electronic systems. While most realizations to date have used only the fundamental mode at each site, recent advances in structured light – particularly the
Noh J, Schulz J, Benalcazar W, Jörg C.
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Semiclassical solutions localized in a neighborhood of a circle for the Gross-Pitaevskii equation [PDF]
Компьютерные исследования и моделирование, 2009 Non-collapsing soliton-like wave functions are shown to exist in semiclassical approximation for the Bose-Einstein condensate model based on the Gross-Pitaevskii equation with attractive nonlinearity and external field of magnetic trap of special form.
Aleksei Vladimirovich Borisov +2 more
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Evolution of Bose–Einstein condensate systems beyond the Gross–Pitaevskii equation
Frontiers in Physics, 2023 While many phenomena in cold atoms and other Bose–Einstein condensate (BEC) systems are often described using the mean-field approaches, understanding the kinetics of BECs requires the inclusion of particle scattering via the collision integral of the ...
Yuli Lyanda-Geller, Yuli Lyanda-Geller
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Beyond Gross-Pitaevskii equation for 1D gas: quasiparticles and solitons
SciPost Physics, 2022 Describing properties of a strongly interacting quantum many-body system poses a serious challenge both for theory and experiment. In this work, we study excitations of one-dimensional repulsive Bose gas for arbitrary interaction strength using a ...
Jakub Kopyciński, Maciej Łebek, Maciej Marciniak, Rafał Ołdziejewski, Wojciech Górecki, Krzysztof Pawłowski
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The Gross-Pitaevskii Equation and Bose-Einstein Condensates [PDF]
, 2013 The Gross-Pitaevskii equation is discussed at the level of an advanced course on statistical physics. In the standard literature the Gross-Pitaevskii equation is usually obtained in the framework of the second quantisation formalism, which in many cases ...
Rogel-Salazar, Jesus
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Vortex helices for the Gross-Pitaevskii equation
, 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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Stationary martingale solution for the 2D stochastic Gross-Pitaevskii equation
, 2022 In this short report we give a proof of the existence of a stationary solution to the Gross-Pitaevskii equation in $2d$ driven by a space-time white ...
Debussche, Arnaud +2 more
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