Speaker
Description
In recent years, quantum circuits have emerged as useful effective models to understand generic quantum many-body dynamics, and as concrete platforms for quantum simulation. The most appealing feature of these systems is that, contrary to generic many-body systems in continuous time, the dynamics of quantum circuits are sometimes amenable to analytical treatment. In the talk I will present a fruitful route to achieve this goal based on imposing a duality symmetry between space and time. I will review how this symmetry allows to fully characterise interesting features of quantum many-body dynamics, such as entanglement spreading and operator growth, and examine its implications. I will then discuss how to systematically weaken this symmetry while retaining (some) solvability, and how an exchange of space and time can help characterising general aspects of quantum many-body dynamics.