2015/10/20 by A. K. Zhuravlev · 6 citations
Mathematics · Physics and Astronomy · #Cumulant #Energy (signal processing) #Extrapolation #Fermion #Ground state #Hamiltonian (control theory) #Mathematical analysis #Mathematical optimization #Mathematical physics #Mathematics #Physics #Physics of Superconductivity and Magnetism #Quantum Chromodynamics and Particle Interactions #Quantum and electron transport phenomena #Quantum electrodynamics #Quantum mechanics #Statistical physics #Statistics #cond-mat.stat-mech #cond-mat.str-el
paper · pdf · doi:10.1016/j.physleta.2016.04.003
published in Physics Letters A 380(22-23), 1995-1999 (Elsevier BV)
arxiv created 2015/10/20 · openalex publication_date 2016/04/10 · arxiv updated 2016/05/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
A systematic nonperturbative scheme is implemented to calculate the ground state energy for a wide class of strongly correlated fermion models. The scheme includes: (a) method of automatic calculations of the cumulants of the model Hamiltonian; (b) method of the ground state energy calculation from these cumulants using the t-expansion proposed by Horn and Weinstein [Phys. Rev. D 30, 1256 (1984)] with new procedure of its extrapolation to t→∞. As an example of application of the method all cumulants up to the 8-th order for spinless fermion model are calculated exactly, and converging sequences of approximations to the ground state energy are obtained for one-, two- and three-dimensional versions of the model.