pith. sign in

arxiv: cond-mat/0401115 · v1 · submitted 2004-01-08 · ❄️ cond-mat.stat-mech

Tensor Product Variational Formulation for Quantum Systems

Y. Nishio , N. Maeshima , A. Gendiar , T. Nishino This is my paper
classification ❄️ cond-mat.stat-mech
keywords variationalgroupmatrixmethodproductquantumrenormalizationsystems
0
0 comments X
read the original 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.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Accelerating two-dimensional tensor network contractions using QR decompositions

    cond-mat.str-el 2025-05 unverdicted novelty 5.0

    A QR-based CTMRG variant accelerates iPEPS contractions by up to two orders of magnitude on GPUs with no accuracy loss for the Heisenberg and J1-J2 models.