Interferences and solitons in the Bose-Einstein condensates with two- and three-body interactions

DOI10.1007/S10910-019-01093-2zbMath1433.81172OpenAlexW2996710256WikidataQ126530493 ScholiaQ126530493MaRDI QIDQ2299065

Teng Zhang, Wei Hua, Shi-Xing Liu

Publication date: 20 February 2020

Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10910-019-01093-2

zbMATH Keywords

Bose-Einstein condensationGross-Pitaevskii equationsymplectic methodthree-body interaction

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Phase transitions (general) in equilibrium statistical mechanics (82B26) Soliton solutions (35C08) Bosonic systems in quantum theory (81V73)

Uses Software

• Gross-Pitaevskii

Cites Work

• Unnamed Item
• Fortran programs for the time-dependent Gross-Pitaevskii equation in a fully anisotropic trap
• Numerical simulations of collision behaviors of optical solitons in birefringent fibres
• Numerical solution for the Gross-Pitaevskii equation
• Numerical methods and comparison for computing dark and bright solitons in the nonlinear Schrödinger equation
• Interference of two Bose-Einstein condensates with varying initial conditions
• Computation of quasiclassical trajectories by symplectic algorithm for the \(N(^4S)+O_2(X^3\Sigma^-_g)\to NO(X^2\Phi)+O(^3P)\) reaction system
• Stability and Collective Excitation of Two-Dimensional BECs with Two- and Three-Body Interactions in an Anharmonic Trap
• Computing Ground States of Spin-1 Bose–Einstein Condensates by the Normalized Gradient Flow

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