41 citations · 112 across the 13 of their papers we have counts for
14 papers
Local representation of N-body Coulomb energy with path integrals
Takanori Sugihara, Junichi Higo, Haruki Nakamura
We represent N-body Coulomb energy in a localized form to achieve massive parallelism. It is a well-known fact that Green's functions can be written as path integrals of field theo…
Parallelization of Markov chain generation and its application to the multicanonical method
Takanori Sugihara, Junichi Higo, Haruki Nakamura
We develop a simple algorithm to parallelize generation processes of Markov chains. In this algorithm, multiple Markov chains are generated in parallel and jointed together to make…
Gauge invariance in a Z_2 hamiltonian lattice gauge theory
Takanori Sugihara
We propose an efficient variational method for lattice gauge theory based on the matrix product ansatz. The method is applied to ladder and square lattices. The Gauss law nee…
Matrix product representation of gauge invariant states in a Z_2 lattice gauge theory
Takanori Sugihara
The Gauss law needs to be imposed on quantum states to guarantee gauge invariance when one studies gauge theory in hamiltonian formalism. In this work, we propose an efficient vari…
Matrix product variational formulation for lattice gauge theory
Takanori Sugihara
For hamiltonian lattice gauge theory, we introduce the matrix product anzats inspired from density matrix renormalization group. In this method, wavefunction of the target state is…
Density matrix renormalization group approach to a two-dimensional bosonic model
Takanori Sugihara
Density matrix renormalization group (DMRG) is applied to a (1+1)-dimensional model to study spontaneous breakdown of discrete symmetry numerically. We obtain the crit…