Momentum space quantum monte carlo on twisted bilayer graphene

X Zhang, G Pan, Y Zhang, J Kang… - Chinese Physics …, 2021 - iopscience.iop.org
We report an implementation of the momentum space quantum Monte Carlo (QMC) method
on the interaction model for the twisted bilayer graphene (TBG). The long-range Coulomb …

Stable computation of entanglement entropy for two-dimensional interacting fermion systems

G Pan, Y Da Liao, W Jiang, J D'Emidio, Y Qi, ZY Meng - Physical Review B, 2023 - APS
There is no doubt that the information hidden in entanglement entropy (EE), for example, the
n th order Rényi EE, ie, S n A= 1 1− n ln Tr (ρ A n), where ρ A= Tr A¯ ρ is the reduced density …

Measuring Rényi entanglement entropy with high efficiency and precision in quantum Monte Carlo simulations

J Zhao, BB Chen, YC Wang, Z Yan, M Cheng… - npj Quantum …, 2022 - nature.com
We develop a nonequilibrium increment method in quantum Monte Carlo simulations to
obtain the Rényi entanglement entropy of various quantum many-body systems with high …

Many versus one: The disorder operator and entanglement entropy in fermionic quantum matter

W Jiang, BB Chen, ZH Liu, J Rong, FF Assaad… - SciPost Physics, 2023 - scipost.org
Motivated by recent development of the concept of the disorder operator and its relation with
entanglement entropy in bosonic systems, here we show the disorder operator successfully …

Two-dimensional attractive Hubbard model and the BCS-BEC crossover

RA Fontenele, NC Costa, RR dos Santos, T Paiva - Physical Review B, 2022 - APS
Recent experiments with ultracold fermionic atoms in optical lattices have provided a
tuneable and clean realization of the attractive Hubbard model (AHM). In view of this …

Entanglement microscopy and tomography in many-body systems

TT Wang, M Song, L Lyu, W Witczak-Krempa… - Nature …, 2025 - nature.com
Quantum entanglement uncovers the essential principles of quantum matter, yet determining
its structure in realistic many-body systems poses significant challenges. Here, we employ a …

Sign problem in quantum monte carlo simulation

G Pan, ZY Meng - arxiv preprint arxiv:2204.08777, 2022 - arxiv.org
Sign problem in quantum Monte Carlo (QMC) simulation appears to be an extremely hard
yet interesting problem. In this article, we present a pedagogical overview on the origin of …

A sport and a pastime: Model design and computation in quantum many-body systems

G Pan, W Jiang, ZY Meng - Chinese Physics B, 2022 - iopscience.iop.org
We summarize the recent developments in the model design and computation for a few
representative quantum many-body systems, encompassing quantum critical metals beyond …

Quantum Monte Carlo calculation of critical exponents of the Gross-Neveu-Yukawa on a two-dimensional fermion lattice model

TT Wang, ZY Meng - Physical Review B, 2023 - APS
It is expected that the Gross-Neveu-Yukawa (GNY) chiral Ising transition of Dirac fermions
coupled with a scalar field in (2+ 1) dimensions will be the first fermionic quantum critical …

Designer Monte Carlo simulation for the gross-neveu-yukawa transition

Y Liu, W Wang, K Sun, ZY Meng - Physical Review B, 2020 - APS
In this paper, we study the quantum criticality of Dirac fermions via large-scale numerical
simulations, focusing on the Gross-Neveu-Yukawa chiral-Ising quantum critical point (QCP) …