2006/11/30 by Eva-Maria Graefe, E. -M. Graefe, H. J. Korsch · 3 citations
Mathematics · Physics and Astronomy · #Algorithm #Bose–Hubbard model #Cold Atom Physics and Bose-Einstein Condensates #Eigenvalues and eigenvectors #Hubbard model #Mathematical physics #Mathematics #Physics #Quantization (signal processing) #Quantum #Quantum mechanics #Quantum, superfluid, helium dynamics #Semiclassical physics #Strong Light-Matter Interactions #quant-ph
paper · pdf · doi:10.1103/physreva.76.032116
published as Phys.Rev.A 76 (2007) 032116 · 8 pages, 8 figures
arxiv created 2007/09/06 · openalex publication_date 2007/09/24 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
A semiclassical Bohr-Sommerfeld approximation is derived for an N-particle, two-mode Bose-Hubbard system modeling a Bose-Einstein condensate in a double-well potential. This semiclassical description is based on the ``classical'' dynamics of the mean-field Gross-Pitaevskii equation and is expected to be valid for large N. We demonstrate the possibility to reconstruct quantum properties of the N-particle system from the mean-field dynamics. The resulting semiclassical eigenvalues and eigenstates are found to be in very good agreement with the exact ones, even for small values of N, both for subcritical and supercritical particle interaction strength where tunneling has to be taken into account.