680 citations · 3.5k across the 91 of their papers we have counts for
29 papers · 1 filter
Tensor-network Monte Carlo approach based on time-evolving block decimation
Shimpei Goto, Hidemaro Suwa, Synge Todo
We propose a tensor-network Monte Carlo (TNMC) approach for unitary evolution following the compression sequence of the time-evolving block decimation (TEBD) algorithm. In the TNMC…
Exchange Monte Carlo for continuous-space Path Integral Monte Carlo simulation
Xun Zhao, Synge Todo
We present a novel Exchange Monte Carlo (EMC) method designed for application in continuous-space Path Integral Monte Carlo (PIMC) simulations at finite temperature. Traditional PI…
Markov Chain Monte Carlo in Tensor Network Representation
Synge Todo
Markov chain Monte Carlo (MCMC) is a powerful tool for sampling from complex probability distributions. Despite its versatility, MCMC often suffers from strong autocorrelation and…
Stochastic parameter optimization analysis of dynamical quantum critical phenomena in long-range transverse-field Ising chain
Sora Shiratani, Synge Todo
The quantum phase transition of the one-dimensional long-range transverse-field Ising model is explored by combining the quantum Monte Carlo method and stochastic parameter optimiz…
Bond-weighted Tensor Renormalization Group
Daiki Adachi, Tsuyoshi Okubo, Synge Todo
We propose an improved tensor renormalization group (TRG) algorithm, the bond-weighted TRG (BTRG). In BTRG, we generalize the conventional TRG by introducing bond weights on the ed…
Dynamical phase transition in Floquet optical bistable systems: An approach from finite-size quantum systems
Tatsuhiko Shirai, Synge Todo, Seiji Miyashita
We study a dynamical phase transition in optical bistable systems subject to a time-periodic driving field. The phase transition occurs in the structure of limit cycle as a functio…
Anisotropic Tensor Renormalization Group
Daiki Adachi, Tsuyoshi Okubo, Synge Todo
We propose a new tensor renormalization group algorithm, Anisotropic Tensor Renormalization Group (ATRG), for lattice models in arbitrary dimensions. The proposed method shares the…
Fast algorithm for generating random bit strings and multispin coding for directed percolation
Hiroshi Watanabe, Satoshi Morita, Synge Todo +1
We present efficient algorithms to generate a bit string in which each bit is set with arbitrary probability. By adopting a hybrid algorithm, i.e., a finite-bit density approximati…
Localized Mode and Nonergodicity of a Harmonic Oscillator Chain
Fumihiro Ishikawa, Synge Todo
We present a simple and microscopic physical model that breaks the ergodicity. Our model consists of coupled classical harmonic oscillators, and the motion of the tagged particle o…
Optical Bistability in a Low Photon-Density Regime
Tatsuhiko Shirai, Synge Todo, Hans de Raedt +1
We give a microscopic description of the optical bistability, where the transmission coefficient has two different values as a function of input light intensity, and the system exh…
Upper and Lower Critical Decay Exponents of Ising Ferromagnets with Long-range Interaction
Toshiki Horita, Hidemaro Suwa, Synge Todo
We investigate the universality class of the finite-temperature phase transition of the two-dimensional Ising model with the algebraically decaying ferromagnetic long-range interac…
Stochastic approximation of dynamical exponent at quantum critical point
Shinya Yasuda, Hidemaro Suwa, Synge Todo
We have developed a unified finite-size scaling method for quantum phase transitions that requires no prior knowledge of the dynamical exponent . During a quantum Monte Carlo si…
Thermal Phase Transition of Generalized Heisenberg Models for SU(N) Spins on Square and Honeycomb Lattices
Takafumi Suzuki, Kenji Harada, Haruhiko Matsuo +2
We investigate thermal phase transitions to a valence-bond solid phase in SU(N) Heisenberg models with four- or six-body interactions on a square or honeycomb lattice, respectively…
Generalized Moment Method for Gap Estimation and Quantum Monte Carlo Level Spectroscopy
Hidemaro Suwa, Synge Todo
We formulate a convergent sequence for the energy gap estimation in the worldline quantum Monte Carlo method. The ambiguity left in the conventional gap calculation for quantum sys…
Geometric Allocation Approaches in Markov Chain Monte Carlo
Synge Todo, Hidemaro Suwa
The Markov chain Monte Carlo method is a versatile tool in statistical physics to evaluate multi-dimensional integrals numerically. For the method to work effectively, we must cons…
Monte Carlo simulation with aspect ratio optimization: Anomalous anisotropic scaling in dimerized antiferromagnet
Shinya Yasuda, Synge Todo
We present a method that optimizes the aspect ratio of a spatially anisotropic quantum lattice model during the quantum Monte Carlo simulation, and realizes the virtually isotropic…
Parallelized Quantum Monte Carlo Algorithm with Nonlocal Worm Updates
Akiko Masaki-Kato, Takafumi Suzuki, Kenji Harada +2
Based on the worm algorithm in the path-integral representation, we propose a general quantum Monte Carlo algorithm suitable for parallelizing on a distributed-memory computer by d…
Control of probability flow in Markov chain Monte Carlo -- Nonreversibility and lifting
Hidemaro Suwa, Synge Todo
The Markov chain Monte Carlo (MCMC) method is widely used in various fields as a powerful numerical integration technique for systems with many degrees of freedom. In MCMC methods,…
Critical temperature and correlation length of an elastic interaction model for spin-crossover materials
Taro Nakada, Takashi Mori, Seiji Miyashita +4
It has previously been pointed out that the coexistence of infinite-range and short-range interactions causes a system to have a phase transition of the mean-field universality cla…
Geometric Allocation Approach for Transition Kernel of Markov Chain
Hidemaro Suwa, Synge Todo
We introduce a new geometric approach that constructs a transition kernel of Markov chain. Our method always minimizes the average rejection rate and even reduce it to zero in many…
Markov Chain Monte Carlo Method without Detailed Balance
Hidemaro Suwa, Synge Todo
We present a specific algorithm that generally satisfies the balance condition without imposing the detailed balance in the Markov chain Monte Carlo. In our algorithm, the average…
Successive phase transitions at finite temperatures of the supersolid in the three-dimensional extended Bose-Hubbard model
Keisuke Yamamoto, Synge Todo, Seiji Miyashita
We study the finite temperature properties of the extended Bose-Hubbard model on a cubic lattice. This model exhibits the so-called supersolid state. To start with, we investigate…
Order-N Cluster Monte Carlo Method for Spin Systems with Long-range Interactions
Kouki Fukui, Synge Todo
An efficient O(N) cluster Monte Carlo method for Ising models with long-range interactions is presented. Our novel algorithm does not introduce any cutoff for interaction range and…
Universal Reduction of Effective Coordination Number in the Quasi-One-Dimensional Ising Model
Synge Todo
Critical temperature of quasi-one-dimensional general-spin Ising ferromagnets is investigated by means of the cluster Monte Carlo method performed on infinite-length strips, L time…