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Quantum phase transition dynamics in the two-dimensional transverse-field Ising model
- Source :
- Science Advances
- Publication Year :
- 2022
-
Abstract
- 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 {\it extended QKZM} taking into account spectral information as well as phase ordering. Our work provides a testing platform for higher-dimensional quantum simulators.<br />Comment: 12 pages, 7 figures
- Subjects :
- Condensed Matter - Strongly Correlated Electrons
Quantum Physics
Multidisciplinary
Strongly Correlated Electrons (cond-mat.str-el)
Statistical Mechanics (cond-mat.stat-mech)
Quantum Gases (cond-mat.quant-gas)
FOS: Physical sciences
ddc:530
Condensed Matter - Quantum Gases
Quantum Physics (quant-ph)
Condensed Matter - Statistical Mechanics
Subjects
Details
- Language :
- English
- Database :
- OpenAIRE
- Journal :
- Science Advances
- Accession number :
- edsair.doi.dedup.....ac98c5c328b616bd37edb1a0883280e9