Results 1 to 10 of about 15,069 (140)
Quantum Gross-Pitaevskii Equation [PDF]
SciPost Physics, 2017 We introduce a non-commutative generalization of the Gross-Pitaevskii equation for one-dimensional quantum gasses and quantum liquids. This generalization is obtained by applying the time-dependent variational principle to the variational manifold of ...
Jutho Haegeman, Damian Draxler, Vid Stojevic, J. Ignacio Cirac, Tobias J. Osborne, Frank Verstraete
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Symmetry and Intertwining Operators for the Nonlocal Gross-Pitaevskii Equation [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2013 We consider the symmetry properties of an integro-differential multidimensional Gross-Pitaevskii equation with a nonlocal nonlinear (cubic) term in the context of symmetry analysis using the formalism of semiclassical asymptotics.
Aleksandr L. Lisok +2 more
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Exact analysis and elastic interaction of multi-soliton for a two-dimensional Gross-Pitaevskii equation in the Bose-Einstein condensation [PDF]
Journal of Advanced Research, 2022 Introduction: The Gross-Pitaevskii equation is a class of the nonlinear Schrödinger equation, whose exact solution, especially soliton solution, is proposed for understanding and studying Bose-Einstein condensate and some nonlinear phenomena occurring in
Haotian Wang, Qin Zhou, Wenjun Liu
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Self-Consistent Derivation of the Modified Gross-Pitaevskii Equation with Lee-Huang-Yang Correction [PDF]
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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Exact Solutions and Symmetry Operators for the Nonlocal Gross-Pitaevskii Equation with Quadratic Potential [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2005 The complex WKB-Maslov method is used to consider an approach to the semiclassical integrability of the multidimensional Gross-Pitaevskii equation with an external field and nonlocal nonlinearity previously developed by the authors.
Alexander Shapovalov +2 more
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Complex soliton wave patterns of Gross–Pitaevskii systems: application in quantum and optical engineering [PDF]
Scientific ReportsThe purpose of this work is to explore precise solutions, particularly soliton solutions, by fractionally analyzing the multicomponent Gross–Pitaevskii problem, a basic nonlinear Schrödinger equation. Soliton solutions are essential for comprehending the
Muhammad Bilal +5 more
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Results in Physics, 2023 This study applies computational and numerical techniques to develop some novel and accurate solutions for Gross–Pitaevskii (GP) equations. A quantum system of identical bosons is described using the Hartree–Fock approximation and pseudopotential ...
Mostafa M.A. Khater +3 more
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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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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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