Séminaire du LPTMS : Lorenzo Piroli (LPENS)

Synthetic models for quantum many-body physics out of equilibrium

Lorenzo Piroli (Laboratoire de Physique de l’Ecole Normale Supérieure)

Onsite seminar + zoom.

Zoom link:
https://cnrs.zoom.us/j/91247177739?pwd=bE9GZTFQaGFKTzNZbDZqbFk2eG5UQT09

Meeting ID: 912 4717 7739
Passcode: rxVCY0

In the past decade a great deal of progress has been made in the study of many-body systems out of equilibrium, where certain integrable models have played a significant role in our understanding of specific but prototypical problems. Even in these cases, however, the full relaxation dynamics has proven to be hard to tackle in the presence of interactions, both analytically and numerically. In this talk, I will discuss how analytically tractable systems may be obtained by considering 1D “quantum circuit’’ toy models for the many-body dynamics, allowing for analytic solutions even in the absence of conservation laws (i.e. integrability). I will focus on a class of chaotic “dual-unitary” quantum circuits, and certain integrable quantum cellular automata, showing that in both cases the dynamics of correlation functions and entanglement can be described exactly. Our approach is based on a representation of the effect of the global evolution on finite subsystems in terms of tensor networks, which is applicable even beyond the exactly solvable cases presented. I will conclude by discussing how related ideas may lead to the construction of more general solvable dynamics beyond integrability.

Date/Time : 08/03/2022 - 11:00 - 12:00

Location : Salle des séminaires du FAST et du LPTMS, bâtiment Pascal n°530