Exact transmission state of a Bose-Einstein condensate in a near-harmonic trap

DOI10.1016/j.physleta.2009.03.004zbMath1228.82067OpenAlexW2040201453MaRDI QIDQ653573

Jianwen Song, Xiao-Bing Luo, Wen Hua Hai

Publication date: 19 December 2011

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2009.03.004

zbMATH Keywords

superfluiditymetastabilityexact soliton solutionrealistic confining potentialtransmission state

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Statistical mechanics of superfluids (82D50) Transport processes in time-dependent statistical mechanics (82C70) Exactly solvable dynamic models in time-dependent statistical mechanics (82C23)

Related Items

Nonclassical properties of a particle in a finite range trap: The f-deformed quantum oscillator approach ⋮ Chaoticity-dependent atomic transport of a spin-orbit coupled Bose-Einstein condensate

Cites Work

• Stabilities of one-dimensional stationary states of Bose-Einstein condensates
• Integrability of the Gross-Pitaevskii equation with Feshbach resonance management
• Stationary solutions of the Gross-Pitaevskii equation with linear counterpart
• Uniform semiclassical approximations of the nonlinear Schrödinger equation by a Painlevé mapping
• Bound and resonance states of the nonlinear Schrödinger equation in simple model systems
• Stability and collapse of a coupled Bose-Einstein condensate
• Stability of exact solutions of the defocusing nonlinear Schrödinger equation with periodic potential in two dimensions
• Exact eigenfunctions of the linear ramp potential in the Gross-Pitaevskii equation for the Bose-Einstein condensate