Stable Optimization of a Tensor Product Variational State

Details Stable Optimization of a Tensor Product Variational State Stable Optimization of a Tensor Product Variational State

2003-03-19

arxiv.org/abs/cond-mat/0303376v4

Prog. Theor. Phys. 110, No. 4 (2003) 691

Physics

Condensed Matter

Statistical Mechanics

9 pages, 5 figures, in LaTex2e style. accepted for publication in Prog. Theor. Phys. 110

Scientific paper

10.1143/PTP.110.691

We consider a variational problem for three-dimensional (3D) classical lattice models. We construct the trial state as a two-dimensional product of local variational weights that contain auxiliary variables. We propose a stable numerical algorithm for the maximization of the variational partition function per layer. The numerical stability and efficiency of the new method are examined through its application to the 3D Ising model.

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