Dynamics of large boson systems with attractive interaction and a derivation of the cubic focusing NLS equation in R3
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Publication:4987879
DOI10.1063/1.5099113zbMath1462.81216OpenAlexW3152872658MaRDI QIDQ4987879
Publication date: 4 May 2021
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.5099113
NLS equations (nonlinear Schrödinger equations) (35Q55) Coherent states (81R30) Bosonic systems in quantum theory (81V73)
Related Items (9)
The mean-field limit of the Lieb-Liniger model ⋮ Quantitative derivation and scattering of the 3D cubic NLS in the energy space ⋮ Beyond Bogoliubov dynamics ⋮ Norm approximation for many-body quantum dynamics: Focusing case in low dimensions ⋮ Bogoliubov dynamics and higher-order corrections for the regularized Nelson model ⋮ Beyond mean-field: Condensate coupled with pair excitations ⋮ On the emergence of quantum Boltzmann fluctuation dynamics near a Bose-Einstein condensate ⋮ On the time dependence of the rate of convergence towards Hartree dynamics for interacting bosons ⋮ Dynamical Hartree-Fock-Bogoliubov approximation of interacting bosons
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