On the stability of a quantum dynamics of a Bose-Einstein condensate trapped in a one-dimensional toroidal geometry

DOI10.1007/S10773-008-9673-6zbMath1168.82017OpenAlexW2104927666MaRDI QIDQ1008150

G. V. Shlyapnikov, D. A. R. Dalvit, A. R. Bishop, E. M. Timmermans, Gennady P. Berman, Nikolai N. Tarkhanov

Publication date: 24 March 2009

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10773-008-9673-6

zbMATH Keywords

singular perturbationGross-Pitaevskii equationrepulsive interactionattractive interaction

Mathematics Subject Classification ID

Many-body theory; quantum Hall effect (81V70) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10)

Related Items (2)

Quantum continuous time random walk in nonlinear Schrödinger equation with disorder ⋮ Subdiffusion in classical and quantum nonlinear Schrödinger equations with disorder

Cites Work

• Quantum dynamics in the Fermi-Pasta-Ulam problem
• Method of quasiclassical approximation for \(c\)-number projection in coherent states basis
• Crossover-Time in Quantum Boson and Spin Systems

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