2008/02/29 by J. Christensson, C. Forssén, Sven Åberg +2 · 1 citation
Mathematics · Physics and Astronomy · #Applied mathematics #Boson #Cold Atom Physics and Bose-Einstein Condensates #Computer science #Construct (python library) #Convergence (economics) #Excitation #Hilbert space #Mathematical analysis #Mathematics #Nuclear physics research studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Scheme (mathematics) #Space (punctuation) #Statistical physics #Theoretical physics #cond-mat.other #nucl-th #physics.comp-ph
paper · pdf · doi:10.1103/physreva.79.012707
published as Phys. Rev. A 79, 012707 (2009) · 5 pages, 4 figures
openalex publication_date 2009/01/22 · arxiv created 2009/02/27 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We show that the convergence behavior of the many-body numerical diagonalization scheme for strongly interacting bosons in a trap can be significantly improved by the Lee-Suzuki method adapted from nuclear physics: One can construct an effective interaction that acts in a space much smaller than the original Hilbert space. In particular for short-ranged forces and strong correlations, the method offers a good estimate of the energy and the excitation spectrum, at a computational cost several orders of magnitude smaller than that required by the standard method.