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

We study the quasiparticle excitation and quench dynamics of the one-dimensional
transverse-field Ising model with power-law (1/r α) interactions. We find that long-range …

There is a dichotomy in the nonequilibrium dynamics of quantum many-body systems. In the
presence of integrability, expectation values of local operators equilibrate to values …

A bstract In this paper we study the non-unitary deformations of the two-dimensional
Tricritical Ising Model obtained by coupling its two spin ℤ 2 odd operators to imaginary …

In contrast to lattice systems where powerful numerical techniques such as matrix product
state based methods are available to study the non-equilibrium dynamics, the non …

The confinement of elementary excitations induces distinctive features in the non-
equilibrium quench dynamics. One of the most remarkable is the suppression of …

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 …

We discuss the nonequilibrium time evolution of the phase field in the sine-Gordon model
using two very different approaches: the truncated Wigner approximation and the truncated …

Hamiltonian truncation (also known as “truncated spectrum approach”) is a numerical
technique for solving strongly coupled quantum field theories, in which the full Hilbert space …

We study the leading and sub-leading magnetic perturbations of the thermal E 7 integrable
deformation of the tricritical Ising model. In the low-temperature phase, these magnetic …