1999/05/28 by András Sütö, Andras Suto, Suto, Andras
Mathematics · Physics and Astronomy · #FOS: Physical sciences #Markov Chains and Monte Carlo Methods #Random Matrices and Applications #Statistical Mechanics (cond-mat.stat-mech) #Stochastic processes and statistical mechanics #cond-mat.stat-mech
paper · pdf · doi:10.48550/arxiv.cond-mat/9905421
17 pages, 4 tables
arxiv created 1999/05/28 · openalex publication_date 1999/05/28 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We investigate the properties of the ground state of a system of interacting bosons on regular lattices with coordination number k≥ 2. The interaction is a pure, infinite, on-site repulsion. Our concern is to give an improved upper bound on the ground state energy per site. For a density ρ a trivial upper bound is known to be -kρ(1-ρ). We obtain a smaller variational bound within a reasonably large family of trial functions. The estimates make use of a large deviation principle for the energy of the Ising model on the same lattice.