Efficient quantum Monte Carlo update schemes called directed loops have recently been
proposed, which improve the efficiency of simulations of quantum lattice models. We …

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 …

The effect of many-body interaction in curved space is studied based on the extended Bose–
Hubbard model on hyperbolic lattices. Using the mean-field approximation and quantum …

The pseudomagnetic field created by a nonuniform uniaxial strain is introduced into the
antiferromagnetic honeycomb nanoribbons. The formation of magnon pseudo-Landau …

Quantum Monte Carlo algorithms based on a world-line representation such as the worm
algorithm and the directed loop algorithm are among the most powerful numerical …

An irreversible Markov-chain Monte Carlo (MCMC) algorithm with skew detailed balance
conditions originally proposed by Turitsyn et al. is extended to general discrete systems on …

We numerically investigate mixtures of two interacting bosonic species with unequal
parameters in one-dimensional optical lattices. In large parameter regions full phase …

The honeycomb antiferromagnet under a triaxial strain is studied using the quantum Monte
Carlo simulation. The strain dimerizes the exchange couplings near the corners, thus …

Searching for and investigating supersolids is a long-term outstanding problem in physics. In
addition to the solid element He 4 and cold atoms as potential candidates for the supersolid …

We use Monte Carlo simulations and tensor network methods to study a classical monomer-
dimer model on the square lattice with a hole (monomer) fugacity z, an aligning dimer-dimer …