In this talk, I will overview recent advances in the study of the Eigenstate Thermalisation Hypothesis (ETH) in the contest of quantum simulation of Lattice gauge theories. Motivated by recent experiment in col atoms quantum simulators, I will present the concept of quantum many body scars and elucidate the structure and properties of a class of anomalous high-energy states of matter-free U(1)...
We consider the spontaneously broken regime of the $O(n)$ vector model in $d=n+1$ space-time dimensions, with boundary conditions enforcing the presence of a topological defect line. Comparing theory and finite size dependence of one-point functions observed in recent numerical simulations [1,2] we argue that the mass of the underlying topological quantum particle becomes infinite for $d\ge...
Out of equilibrium dynamics of integrable systems have been intensively studied in the past 20 years. However, a full characterisation of time evolution of an integrable field theory after a quantum quench is still missing. We investigate processes occurring during relaxation towards a steady state and describe them in terms of analytical properties of matrix elements of operators in the...
I will review the concept of temporal entropies and their relation to CFTs and the computational cost of performing the simulation of out-of-equilibrium simulations.
The study of entanglement in quantum field theories provides insight into universal properties which are typically challenging to extract by means of more local observables. In the context of strongly coupled gauge theories, entanglement is expected to play a role in understanding many defining phenomena, among which confinement. However, calculations of entanglement-related quantities in...
