Zobrazeno 1 - 10
of 186
pro vyhledávání: '"Okunishi, Kouichi"'
Autor:
Okunishi, Kouichi, Nishino, Tomotoshi
Publikováno v:
PTEP 2004, 093A02
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 (CTMRG) method, we demonstrate that the boundary correlation function exhi
Externí odkaz:
http://arxiv.org/abs/2407.14689
Autor:
Yosprakob, Atis, Okunishi, Kouichi
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, matrix indices are completely traced out, eliminating the degeneracy in the
Externí odkaz:
http://arxiv.org/abs/2406.16763
In tensor-network analysis of quantum many-body systems, it is of crucial importance to employ a tensor network with a spatial structure suitable for representing the state of interest. In the previous work [Hikihara et al., Phys. Rev. Research 5, 01
Externí odkaz:
http://arxiv.org/abs/2401.16000
Autor:
Sakai, Tôru, Okamoto, Kiyomi, Okunishi, Kouichi, Hashimoto, Masaru, Houda, Tomoki, Furuchi, Rito, Nakano, Hiroki
Publikováno v:
Phys. Rev. B 108, 174435 (2023)
We investigate the S=1 antiferromagnetic quantum spin chain with the exchange and single-ion anisotropies in a magnetic field, using the numerical exact diagonalization of finite-size clusters, the level spectroscopy analysis, and the density matrix
Externí odkaz:
http://arxiv.org/abs/2311.07123
Autor:
Okunishi, Kouichi, Takayanagi, Tadashi
Publikováno v:
Prog. Theor. Exp. Phys. 013A03 (2024)
The Bethe lattice Ising model -- a classical model of statistical mechanics for the phase transition -- provides a novel and intuitive understanding of the prototypical relationship between tensor networks and Anti-de Sitter (AdS)/conformal field the
Externí odkaz:
http://arxiv.org/abs/2310.12601
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 Grassmann tensor network formalism. The basic idea is to separate the site ten
Externí odkaz:
http://arxiv.org/abs/2309.01422
Publikováno v:
Prog. Theor. Exp. Phys. 023A02 (2023)
We propose the entanglement bipartitioning approach to design an optimal network structure of the tree-tensor-network (TTN) for quantum many-body systems. Given an exact ground-state wavefunction, we perform sequential bipartitioning of spin-cluster
Externí odkaz:
http://arxiv.org/abs/2210.11741
Publikováno v:
Phys. Rev. Research 5, 013031 (2023)
Tree tensor network (TTN) provides an essential theoretical framework for the practical simulation of quantum many-body systems, where the network structure defined by the connectivity of the isometry tensors plays a crucial role in improving its app
Externí odkaz:
http://arxiv.org/abs/2209.03196
Autor:
Nakajima, Koutaro, Okunishi, Kouichi
Publikováno v:
Phys. Rev. B 106, 134304 (2022)
We study the angular-time evolution that is a parameter-time evolution defined by the entanglement Hamiltonian for the bipartitioned ground state of the Affleck-Kennedy-Lieb-Tasaki (AKLT) chain with the open boundary. In particular, we analytically c
Externí odkaz:
http://arxiv.org/abs/2205.06428
Publikováno v:
Phys. Rev. B 107, 125158 (2023)
In quantum spin-1 chains, there is a nonlocal unitary transformation known as the Kennedy-Tasaki transformation $U_{\text{KT}}$, which defines a duality between the Haldane phase and the $\mathbb{Z}_2 \times \mathbb{Z}_2$ symmetry-breaking phase. In
Externí odkaz:
http://arxiv.org/abs/2203.15791