113 citations · 204 across the 9 of their papers we have counts for
9 papers
Clifford Circuits Augmented Grassmann Matrix Product States
Atis Yosprakob, Wei-Lin Tu, Tsuyoshi Okubo +2
Recent progress in combining Clifford circuits with tensor-network (TN) methods has shown that local Clifford disentanglers can reduce bipartite entanglement across TN bonds prior…
Holographic Aspects of Dynamical Mean-Field Theory
Kouichi Okunishi, Akihisa Koga
Dynamical mean-field theory (DMFT) is one of the most standard theoretical frameworks for addressing strongly correlated electron systems. In this study, we explore a holographic r…
Improving accuracy of tree-tensor network approach by optimization of network structure
Toshiya Hikihara, Hiroshi Ueda, Kouichi Okunishi +2
Numerical methods based on tensor networks have been extensively explored in the research of quantum many-body systems in recent years. It has been recognized that the ability of t…
Holographic analysis of boundary correlation functions for the hyperbolic-lattice Ising model
Kouichi Okunishi, Tomotoshi Nishino
We analyze boundary spin correlation functions of the hyperbolic-lattice Ising model from the holographic point of view. Using the corner-transfer-matrix renormalization group (CTM…
Tensor renormalization group study of the three-dimensional SU(2) and SU(3) gauge theories with the reduced tensor network formulation
Atis Yosprakob, Kouichi Okunishi
We perform a tensor renormalization group simulation of non-Abelian gauge theory in three dimensions using a formulation based on the `armillary sphere.' In this formulation, matri…
Statistical Mechanics Approach to the Holographic Renormalization Group: Bethe Lattice Ising Model and p-adic AdS/CFT
Kouichi Okunishi, Tadashi Takayanagi
The Bethe lattice Ising model -- a classical model of statistical mechanics for the phase transition -- provides a novel and intuitive understanding of the prototypical relationshi…
A new technique to incorporate multiple fermion flavors in tensor renormalization group method for lattice gauge theories
Atis Yosprakob, Jun Nishimura, Kouichi Okunishi
We propose a new technique to incorporate multiple fermion flavors in the tensor renormalization group method for lattice gauge theories, where fermions are treated by the Grassman…
Vertical Density Matrix Algorithm: A Higher-Dimensional Numerical Renormalization Scheme based on the Tensor Product State Ansatz
Nobuya Maeshima, Yasuhiro Hieida, Yasuhiro Akutsu +2
We present a new algorithm to calculate the thermodynamic quantities of three-dimensional (3D) classical statistical systems, based on the ideas of the tensor product state and the…
Product Wave Function Renormalization Group Method
T. Nishino, K. Okunishi
The authors propose a fast numerical renormalization group method --- the product wave function renormalization group (PWFRG) method --- for 1D quantum lattice models and 2D classi…