Tensor Product Variational Formulation for Quantum Systems

2004/01/08 by Yukinobu Nishio, Y. Nishio, Nobuya Maeshima +9 · 4 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #Quantum Chromodynamics and Particle Interactions #Quantum many-body systems #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.stat-mech

paper · pdf · doi:10.48550/arxiv.cond-mat/0401115

5 pages

arxiv created 2004/01/08 · openalex publication_date 2004/01/08 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider a variational problem for the two-dimensional (2D) Heisenberg and XY models, using a trial state which is constructed as a 2D product of local weights. Variational energy is calculated by use of the the corner transfer matrix renormalization group (CTMRG) method, and its upper bound is surveyed. The variational approach is a way of applying the density matrix renormalization group method (DMRG) to infinite size 2D quantum systems.

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