Results 21 to 30 of about 634 (180)
Results in Physics, 2023 In this paper, we investigate the nonlocal Gross–Pitaevskii equation which describes the phenomena of Bose–Einstein condensates under the mean field approximation.
Hongmei Li, Li Peng, Xuefei Wu
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Hydrodynamic Limit of the Gross-Pitaevskii Equation [PDF]
Communications in Partial Differential Equations, 2014 We study dynamics of vortices in solutions of the Gross-Pitaevskii equation $i \partial_t u = Δu + \varepsilon^{-2} u (1 - |u|^2)$ on $\mathbb{R}^2$ with nonzero degree at infinity. We prove that vortices move according to the classical Kirchhoff-Onsager ODE for a small but finite coupling parameter $\varepsilon$.
Jerrard, Robert L., Spirn, Daniel
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Stochastic fluctuations in the Gross–Pitaevskii equation [PDF]
Nonlinearity, 2007 Summary: We study from a mathematical point of view a model equation for a Bose-Einstein condensation, in the case where the trapping potential varies randomly in time. The model is the so-called Gross-Pitaevskii equation, with a quadratic potential with white noise fluctuations in time.
De Bouard, Anne, Fukuizumi, Reika
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Vortices in nonlocal Gross–Pitaevskii equation [PDF]
Journal of Physics A: Mathematical and General, 2004 Second revision: small changes; 23 pages; 8 ...
Shchesnovich, V. S. +1 more
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Scattering for the 3D Gross–Pitaevskii Equation [PDF]
Communications in Mathematical Physics, 2017 28 pages; Correct some mistakes, the main results remain the ...
Guo, Zihua +2 more
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Rigorous Derivation of the Gross-Pitaevskii Equation [PDF]
Physical Review Letters, 2007 4 pages, 1 ...
Erdős, László +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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Self-Consistent Derivation of the Modified Gross-Pitaevskii Equation with Lee-Huang-Yang Correction
Applied Sciences, 2018 We consider a dilute and ultracold bosonic gas of weakly-interacting atoms. Within the framework of quantum field theory, we derive a zero-temperature modified Gross–Pitaevskii equation with beyond-mean-field corrections due to quantum depletion ...
Luca Salasnich
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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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