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Remarks on the Blow-Up Solutions for the Critical Gross-Pitaevskii Equation
Abstract and Applied Analysis, 2013 This paper is concerned with the blow-up solutions of the critical Gross-Pitaevskii equation, which models the Bose-Einstein condensate. The existence and qualitative properties of the minimal blow-up solutions are obtained.
Xiaoguang Li, Chong Lai
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Comparison of finite‐difference schemes for the Gross‐Pitaevskii equation
Mathematical Modelling and Analysis, 2009 A conservative finite‐difference scheme for numerical solution of the Gross‐Pitaevskii equation is proposed. The scheme preserves three invariants of the problem: the L 2 norm of the solution, the impulse functional, and the energy functional.
Vyacheslav A. Trofimov, Nikolai Peskov
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Results in Physics, 2021 A 3D nonautonomous partially nonlocal coupled Gross–Pitaevskii equation is paid attention under a linear potential. The similarity reduction from a 3D nonautonomous coupled equation into an autonomous one is implemented.
Jing Yang +4 more
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Haus/Gross-Pitaevskii equation for random lasers [PDF]
, 2010 We report on experimental tests of the trend of random laserlinewidth versus pumping power as predicted by an Haus master equation that is formally identical to the one-dimensional Gross- Pitaevskii equation in an harmonic potential. Experiments are done
Angelani +31 more
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Emerging Device Applications From Strong Light–Matter Interactions in 2D Materials
Advanced Science, Volume 13, Issue 17, 23 March 2026.Two‐dimensional semiconductors enable extremely compact optoelectronic devices such as solar cells, sensors, LEDs, and lasers. Their strong light–matter interactions allow efficient light emission, detection, and energy conversion. This review article discusses the recent progress in integrating these materials with optical cavities and nanostructures ...
Janani Archana K +7 more
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Polaron Dynamics in a Quasi-Two-Dimensional Bose–Einstein Condensate
Universe, 2023 The concept of polaron quasiparticles was first introduced in the pioneering papers by Landau and Feynman in the 1930s and 1940s. It describes the phenomenon of an external particle producing a bound state in an embedded medium.
Shukhrat N. Mardonov +3 more
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Integrability of the Gross-Pitaevskii Equation with Feshbach Resonance management
, 2008 In this paper we study the integrability of a class of Gross-Pitaevskii equations managed by Feshbach resonance in an expulsive parabolic external potential.
Abdullaev +39 more
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Vortex Line Density in a Superfluid Turbulent Wake in the Zero Temperature Limit
Annalen der Physik, Volume 538, Issue 1, January 2026.The quasiclassical conjecture for quantum turbulence in a pure superfluid straightforwardly leads to the definition of the superfluid Reynolds number, Res=ud/κ$Re_s=ud/\kappa$, and suggests that the effective quantum viscosity should be of the order of the circulation quantum κ$\kappa$.
Hiromitsu Takeuchi
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Journal of High Energy Physics, 2022 A dilute gas of Bose-Einstein condensed atoms in a non-rotated and axially symmetric harmonic trap is modelled by the time dependent Gross-Pitaevskii equation.
Julien Garaud, Antti J. Niemi
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Remarks on the derivation of Gross-Pitaevskii equation with magnetic Laplacian
, 2017 The effective dynamics for a Bose-Einstein condensate in the regime of high dilution and subject to an external magnetic field is governed by a magnetic Gross-Pitaevskii equation.
A. Knowles +4 more
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