Results 51 to 60 of about 3,107,805 (229)
Journal of Taibah University for ScienceBased on the generalized model of the cubic-quintic Gross-Pitaevskii equation with polytropic approximation, we novelly utilize an F-expansion method to identify bright soliton dynamics of systems modelled by the cubic-quintic Gross-Pitaevskii with ...
Qingru Wang +3 more
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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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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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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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Going beyond the threshold: Blowup criteria with arbitrary large energy in trapped quantum gases
AIMS Mathematics, 2022 The present paper considers the blowup properties in trapped dipolar quantum gases modelled by the Gross-Pitaevskii equation. More precisely, through analyzing the temporal evolution of J′(t) in the form of uncertain principle [1], we provide some ...
Lingfei Li +3 more
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Vortex Line Density in a Superfluid Turbulent Wake in the Zero Temperature Limit
Annalen der Physik, EarlyView.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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PGPE theory of finite temperature collective modes for a trapped Bose gas
, 2008 We develop formalism based on the projected Gross Pitaevskii equation to simulate the finite temperature collective mode experiments of Jin et al. [PRL 78, 764 (1997)].
A. Bezett, A. Geddes, P. B. Blakie
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Discrete Chiral Ballistic Polariton Laser
Laser &Photonics Reviews, Volume 19, Issue 15, August 7, 2025.Planar microcavities in the strong light–matter coupling regime exhibit exciton‐polariton modes with a strong chiral response toward circularly polarized light. This feature is exploited alongside inherent spin‐orbit coupling of cavity light to generate giant discrete optical vortices in polygonal arrays of exciton‐polariton condensates.
Zuzanna Werner +5 more
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The Casimir-like effect in a one-dimensional Bose gas
New Journal of Physics, 2019 The electromagnetic Casimir effect manifests as the interaction between uncharged conducting objects that are placed in a vacuum. More generally, the Casimir-like effect denotes an induced interaction between external bodies in a fluctuating medium.
Benjamin Reichert +2 more
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