2008/07/15 by Hiroshi Ueda, Tomotoshi Nishino, Koichi Kusakabe · 9 citations
Physics and Astronomy · #Density matrix renormalization group #Ground state #Lattice (music) #Matrix product state #Physics of Superconductivity and Magnetism #Quantum #Quantum and electron transport phenomena #Quantum many-body systems #Renormalization #Renormalization group #Wave function #cond-mat.stat-mech #quant-ph
paper · pdf · doi:10.1143/jpsj.77.114002
published in Journal of the Physical Society of Japan 77(11), 114002 (Physical Society of Japan) · 7 pages, 6figures
arxiv created 2008/07/15 · openalex publication_date 2008/10/27 · arxiv updated 2011/02/11 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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.