Quantum many-body dynamics in two dimensions with artificial neural networks

Markus Heyl (Max-Planck Institute for the Physics of Complex Systems, Dresden)

22-Mar-2021, 17:00-18:00 (3 years ago)

Abstract: In the last two decades the field of nonequilibrium quantum many-body physics has seen a rapid development driven, in particular, by the remarkable progress in quantum simulators, which today provide access to dynamics in quantum matter with an unprecedented control. However, the efficient numerical simulation of nonequilibrium real-time evolution in isolated quantum matter still remains a key challenge for current computational methods especially beyond one spatial dimension. In this talk I will present a versatile and efficient machine learning inspired approach. I will first introduce the general idea of encoding quantum many-body wave functions into artificial neural networks. I will then identify and resolve key challenges for the simulation of real-time evolution, which previously imposed significant limitations on the accurate description of large systems and long-time dynamics. As a concrete example, I will consider the dynamics of the paradigmatic two-dimensional transverse field Ising model, where we observe collapse and revival oscillations of ferromagnetic order and demonstrate that the reached time scales are comparable to or exceed the capabilities of state-of-the-art tensor network methods.

condensed mattermathematical physics

Audience: researchers in the topic


Quantum Matter meets Maths (IST, Lisbon)

Series comments: To receive the series announcements, please register in
math.tecnico.ulisboa.pt/seminars/QM3/index.php?action=subscribe#subscribe
QM3 video channel for the past talks:
portal.educast.fccn.pt/videos?c=6292

Organizers: João P. Nunes, Jose Mourao*, Pedro Ribeiro, Roger Picken, Vítor Rocha Vieira
*contact for this listing

Export talk to