Explicit solutions to an effective Gross–Pitaevskii equation: One-dimensional Bose–Einstein condensate in specific traps

DOI10.1063/1.2834917zbMath1153.81385OpenAlexW2001951128MaRDI QIDQ3544628

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Publication date: 8 December 2008

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

Full work available at URL: https://doi.org/10.1063/1.2834917

zbMATH Keywords

solitons vortices tunneling topological excitations Josephson effect Bose-Einstein condensates in periodic potentials entanglement and decoherence in Bose-Einstein condensates

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10)

Related Items (7)

Modulational instability of Bose-Einstein condensate in a complex polynomial in elliptic Jacobian functions potential ⋮ Parameters controlling matter waves in the one-dimensional generalized Gross-Pitaevskii equation with the varying potential and source ⋮ Exact wave solutions for Bose–Einstein condensates with time-dependent scattering length and spatiotemporal complicated potential ⋮ MODULATIONAL INSTABILITY AND EXACT SOLITON AND PERIODIC SOLUTIONS FOR TWO WEAKLY COUPLED EFFECTIVELY 1D CONDENSATES TRAPPED IN A DOUBLE-WELL POTENTIAL ⋮ Non-autonomous solitons in inhomogeneous nonlinear media with distributed dispersion ⋮ Exact equilibrium solutions of a diffusion equation with a nonlinear diffusion term by means of Jacobian elliptic functions ⋮ Bright-matter solitons in a uniformly feeded Bose–Einstein condensate with expulsive harmonic potential

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