Symmetry breaking in a two-component system with repulsive interactions and linear coupling

DOI10.1016/J.CNSNS.2020.105496zbMath1452.78024arXiv2008.04610OpenAlexW3049150339MaRDI QIDQ2212000

Hidetsugu Sakaguchi, Boris A. Malomed

Publication date: 17 November 2020

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.04610

zbMATH Keywords

Bose-Einstein condensatessymmetry-breakingcoupled Gross-Pitaevskii equationssoliton and vortex

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Symmetry breaking in quantum theory (81R40) Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Antennas, waveguides in optics and electromagnetic theory (78A50) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10) Lasers, masers, optical bistability, nonlinear optics (78A60) Dynamic and nonequilibrium phase transitions (general) in statistical mechanics (82C26) Soliton solutions (35C08)

Cites Work

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• Symmetric and asymmetric solitons and vortices in linearly coupled two-dimensional waveguides with the cubic-quintic nonlinearity
• Ultracold quantum fields
• The discrete self-trapping equation
• Symmetry breaking for a nonlinear Schrödinger equation
• Spontaneous symmetry breaking, self-trapping, and Josephson oscillations
• Novel soliton states and bifurcation phenomena in nonlinear fiber couplers
• Computing the Ground State Solution of Bose--Einstein Condensates by a Normalized Gradient Flow

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