1997/12/24 by N. S. Witte, Witte, N. S.
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #Quantum many-body systems #Spectroscopy and Quantum Chemical Studies #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.stat-mech
paper · pdf · doi:10.48550/arxiv.cond-mat/9712284
4 pages + 5 postscript files, Latex2e + amstex + amssyb
arxiv created 1997/12/24 · openalex publication_date 1997/12/24 · arxiv updated 2009/11/30 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/28
The Lanczos process has been analytically and exactly carried out for the spin 1/2 isotropic XY chain in the thermodynamic limit, yielding a form for the Lanczos coefficient β2(s). This coefficient has a monotonic variation for real positive s and confirms a general theorem on the ground state properties of extensive Many-body Systems. The Taylor expansion of the coefficient about s=0 has a finite radius of convergence, and ground state estimates based on a finite truncation of this are shown to be asymptotic.