Lattice gauge theories, which originated from particle physics in the context of Quantum
Chromodynamics (QCD), provide an important intellectual stimulus to further develop …

Formulating gauge theories on a lattice offers a genuinely non-perturbative way of studying
quantum field theories, and has led to impressive achievements. In particular, it significantly …

Lattice gauge theories are fundamental to our understanding of high-energy physics.
Nevertheless, the search for suitable platforms for their quantum simulation has proven …

We speed up thermal simulations of quantum many-body systems in both one-(1D) and two-
dimensional (2D) models in an exponential way by iteratively projecting the thermal density …

We have made a detailed study of the phase structure for the lattice Schwinger model with
one flavor of Wilson fermion on the (m, g) plane. For numerical investigation, we develop a …

Symmetries such as gauge invariance and anyonic symmetry play a crucial role in quantum
many-body physics. We develop a general approach to constructing gauge-invariant or …

We numerically study the spectral properties, the entanglement and the zero-temperature
phase structure at nonvanishing chemical potential of the O (3) nonlinear sigma model …

The O (2) model in Euclidean space-time is the zero-gauge-coupling limit of the compact
scalar quantum electrodynamics. We obtain a dual representation of it called the charge …

A bstract We investigate the entanglement and Rényi entropies for the (1+ 1)-dimensional O
(3) nonlinear sigma model using the tensor renormalization group method. The central …

We study the low-energy physics of a chain of Majorana fermions in the presence of
interaction and disorder, emphasizing the difference between Majoranas and conventional …