CQD Special Seminar

7. November 2019 14:30

Seminar box 2.107, Kirchhoff-Institut für Physik, INF 227

Non-equilibrium dynamics in two-dimensional quantum matter from (deep) neural networks

Dr. Markus Schmitt
University of California, Berkeley, USA

Despite a growing number of realizations in experiment the efficient numerical simulation of real time evolution of isolated quantum many-body systems far from equilibrium remains challenging. Especially, systems of intermediate spatial dimensions are still largely elusive to the established approaches. In this work we demonstrate that combining a time-dependent variational principle with deep neural networks as ansatz for the wave function yields a versatile and reliable method in the sense that it is not tailored to the specific problem and the error can be quantified and systematically reduced. A deep network architecture is particularly well suited to exploit the locality of physical dynamics for the representation of the time-evolved wave function. As a concrete example, we simulate the dynamics of the paradigmatic and experimentally relevant two-dimensional transverse field Ising model. The maximal times reached are comparable to or exceed the capabilities of state-of-the-art tensor network methods.


Prof. Dr. M. Weidemüller
Physikalisches Institut
Im Neuenheimer Feld 226
69120 Heidelberg
Claudia Krämer
21.6.2023 16:15 / 17:00
Dipolar quantum gases: From rotons to supersolids to vortices
Dr. Manfred Johann Mark, Institut für Experimentalphysik, Universität Innsbruck, INF 227, Hörsaal 1