Two-Site shift Product Wave Function Renormalization Group Method Applied to Quantum Systems

Abstract

We report a way of wave function estimation for the density matrix renormalization group (DMRG) method applied to quantum systems, which has 2-site modulation, when the system size extension is necessary in both the finite and the infinite algorithms. The estimation is performed by renormalization group (RG) transformation applied to the ground state wave function, which is represented as the matrix product. This RG scheme is known as the product wave function renormalization group (PWFRG) method. In order to treat the 2-site modulation, the operation of the RG transformation is shifted by amount of 2 lattice sites. It turns out that this 2-site shift algorithm provides better wave function estimation in the thermodynamic limit, compared with the previously known PWFRG algorithm.

7 pages, 6figures

References in corpus (2)

• The density-matrix renormalization group
• Product Wave Function Renormalization Group: construction from the matrix product point of view

Cited by in corpus (7)

• The density-matrix renormalization group in the age of matrix product states
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• Uniform Matrix Product State in the Thermodynamic Limit
• Infinite-size density matrix renormalization group with parallel Hida's algorithm
• Hyperbolic Deformation Applied to S = 1 Spin Chains - Scaling Relation in Excitation Energy -
• Incommensurate Matrix Product State for Quantum Spin Systems