Stationary states of a nonlinear Schrödinger lattice with a harmonic trap

DOI10.1063/1.3625953zbMath1272.35172arXiv1110.3172OpenAlexW3103102651MaRDI QIDQ2849752

V. A. Achilleos, Nikos I. Karachalios, F. K. Diakonos, G. Theocharis, Dimitrios J. Frantzeskakis, Panayotis G. Kevrekidis

Publication date: 24 September 2013

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

Full work available at URL: https://arxiv.org/abs/1110.3172

zbMATH Keywords

dark-solitonBose-Einstein condensate dropletsparabolic trapping potential

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Discrete version of topics in analysis (39A12) Bifurcations in context of PDEs (35B32) Soliton solutions (35C08) Ion traps (78A37)

Related Items (2)

Self-trapping transition for a nonlinear impurity within a linear chain ⋮ The ground state of a Gross-Pitaevskii energy with general potential in the Thomas-Fermi limit

Cites Work

• Unnamed Item
• Unnamed Item
• Stability theory of solitary waves in the presence of symmetry. II
• The discrete nonlinear Schrödinger equation. Mathematical analysis, numerical computations and physical perspectives
• An instability mechanism for radially symmetric standing waves of a nonlinear Schrödinger equation
• Nonlinear modes of a macroscopic quantum oscillator
• Some global results for nonlinear eigenvalue problems
• Nonlinear waves in Bose–Einstein condensates: physical relevance and mathematical techniques
• Dark solitons in atomic Bose–Einstein condensates: from theory to experiments
• Energy thresholds for the existence of breather solutions and travelling waves on lattices
• Excited states in the large density limit: a variational approach
• Linearized instability for nonlinear schrödinger and klein-gordon equations
• Excitation thresholds for nonlinear localized modes on lattices
• Disk-shaped Bose–Einstein condensates in the presence of an harmonic trap and an optical lattice
• Nonlinear modes for the Gross–Pitaevskii equation—a demonstrative computation approach

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