We review two important non-perturbative approaches for extracting the physics of low-
dimensional strongly correlated quantum systems. Firstly, we start by providing a …

Confinement of topological excitations into particle-like states-typically associated with
theories of elementary particles-are known to occur in condensed matter systems, arising as …

We show how to perform accurate, nonperturbative and controlled calculations in quantum
field theory in d dimensions. We use the truncated conformal space approach, a Hamiltonian …

Analog quantum simulation has the potential to be an indispensable technique in the
investigation of complex quantum systems. In this work, we numerically investigate a one …

The Fock-space Hamiltonian truncation method is developed further, paying particular
attention to the treatment of the scalar field zero mode. This is applied to the two …

Recent developments of theoretical studies on spin nanotubes are reviewed, especially
focusing on the S= 1/2 three-leg spin tube. In contrast to the three-leg spin ladder, the tube …

We discuss the nature of criticality in the β2= 2πN self-dual extension of the sine-Gordon
model. This field theory is related to the two-dimensional classical XY model with a N-fold …

We study signatures of quantum chaos in (1+ 1) D quantum field theory (QFT) models. Our
analysis is based on the method of Hamiltonian truncation, a numerical approach for the …

Quantum simulation has the potential to be an indispensable technique for the investigation
of non-perturbative phenomena in strongly-interacting quantum field theories (QFTs). In the …

A bstract We apply the massive analogue of the truncated conformal space approach to
study the two dimensional ϕ 4 theory in finite volume. We focus on the broken phase and …