Results 71 to 80 of about 2,535 (170)
Advances in Mathematical Physics, Volume 2025, Issue 1, 2025.This study examines the optical soliton structure solutions, sensitivity, and modulation stability analysis of the chiral nonlinear Schrödinger equation (NLSE) with Bohm potential, a basic model in nonlinear optics and quantum mechanics. The equation represents wave group dynamics in numerous physical systems, involving quantum Hall and nonlinear ...
Ishrat Bibi +4 more
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q-Deformed Gross Pitaevskii Equation
, 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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Analytical Solution for the Gross-Pitaevskii Equation in Phase Space and Wigner Function
Advances in High Energy Physics, 2020 In this work, we study symplectic unitary representations for the Galilei group. As a consequence a nonlinear Schrödinger equation is derived in phase space.
A. X. Martins +6 more
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Journal of Mathematics, Volume 2025, Issue 1, 2025.This work reveals the novel types of exact solitons for the coupled (2 + 1)‐dimensional Painlevé’s–Burgers model in the sense of novel fractional derivative. To gain the different kinds of exact solitons, we utilized the modified extended direct algebraic technique.
Waseem Razzaq +4 more
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Physical Review Research, 2020 We propose a superfluid phase of “many-fracton system” in which charge and total dipole moments are conserved quantities. In this work, both microscopic model and long-wavelength effective theory are analyzed. We start with a second quantized microscopic
Jian-Keng Yuan, Shuai A. Chen, Peng Ye
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A critique on the misuse of the Gross-Pitaevskii equation
, 2009 The Gross-Pitaevskii equation, which is valid only for diffuse boson gases having purely positive interatomic potentials, continues to be used where this condition is not satisfied.
Sydney Geltman
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Expansion of the condensate in a ring-shaped trap in a semiclassical approximation for the Gross-Pitaevskii equation [PDF]
, 2020 The nonlocal Gross-Pitaevskii equation describing the expansion of the Bose-Einstein in the ringshaped trap potential is studied in a semiclassical approximation. The first-order Hamilton-Ehrenfest system for the semiclassically concentrated solutions of
Кулагин, Антон Евгеньевич
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Travelling Waves for the Gross-Pitaevskii Equation
, 2017 本文的目標是探討Fabrice Bethuel,Philippe Gravejat,和 Jean-Claude Saut 在Gross- Pitaevskii方程式中關於二,三維度的行波解 c∂1u + ∆u + u(1 − |u|2) = 0 前四章節我們透過最小化能量在動量固定下來探討解之存在性,並提供一些構造 這些定理的動機。 最後一章節我們討論Gross-Pitaevskii equation未來的研究方向。In this thesis, Fabrice Bethuel, Philippe ...
葉冠廷, Yeh, Kuan-Ting
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Tensor network methods for the Gross–Pitaevskii equation on fine grids
New Journal of PhysicsThe Gross–Pitaevskii equation and its generalisations to dissipative and dipolar gases have been very useful in describing dynamics of cold atomic gases, as well as polaritons and other nonlinear systems.
Ryan J J Connor +2 more
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The Dynamical Casimir Effect in quasi-one-dimensional Bose condensates: the breathing ring
Comptes Rendus. PhysiqueWe present a detailed investigation of one of the cleanest examples where it is possible to detect the “analog” Dynamical Casimir Effect in a Bose–Einstein condensate: an ultracold atom gas in toroidal confinement.
Tettamanti, Manuele, Parola, Alberto
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