| Autor: |
Schmitt M; Institute for Theoretical Physics, University of Cologne, 50937 Cologne, Germany., Rams MM; Institute of Theoretical Physics, Jagiellonian University, Łojasiewicza 11, PL-30348 Kraków, Poland., Dziarmaga J; Institute of Theoretical Physics, Jagiellonian University, Łojasiewicza 11, PL-30348 Kraków, Poland., Heyl M; Max Planck Institute for the Physics of Complex Systems, Nöthnitzer Straße 38, Dresden 01187, Germany.; Theoretical Physics III, Center for Electronic Correlations and Magnetism, Institute of Physics, University of Augsburg, D-86135 Augsburg, Germany., Zurek WH; Theory Division, Los Alamos National Laboratory, Los Alamos, NM 87545, USA. |
| Abstrakt: |
The quantum Kibble-Zurek mechanism (QKZM) predicts universal dynamical behavior near the quantum phase transitions (QPTs). It is now well understood for the one-dimensional quantum matter. Higher-dimensional systems, however, remain a challenge, complicated by the fundamentally different character of the associated QPTs and their underlying conformal field theories. In this work, we take the first steps toward theoretical exploration of the QKZM in two dimensions for interacting quantum matter. We study the dynamical crossing of the QPT in the paradigmatic Ising model by a joint effort of modern state-of-the-art numerical methods, including artificial neural networks and tensor networks. As a central result, we quantify universal QKZM behavior close to the QPT. We also note that, upon traversing further into the ferromagnetic regime, deviations from the QKZM prediction appear. We explain the observed behavior by proposing an extended QKZM taking into account spectral information as well as phase ordering. Our work provides a testing platform for higher-dimensional quantum simulators. |
