Universität zu Köln

Schmitt, Markus ORCID: 0000-0003-2223-8696, Rams, Marek M., Dziarmaga, Jacek ORCID: 0000-0002-7361-4252, Heyl, Marku and Zurek, Wojciech H. (2022). Quantum phase transition dynamics in the two-dimensional transverse-field Ising model. Sci. Adv., 8 (37). WASHINGTON: AMER ASSOC ADVANCEMENT SCIENCE. ISSN 2375-2548

Full text not available from this repository.

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 sys-tems, 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 informa-tion as well as phase ordering. Our work provides a testing platform for higher-dimensional quantum simulators.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Schmitt, Markus UNSPECIFIED orcid.org/0000-0003-2223-8696 UNSPECIFIED Rams, Marek M. UNSPECIFIED UNSPECIFIED UNSPECIFIED Dziarmaga, Jacek UNSPECIFIED orcid.org/0000-0002-7361-4252 UNSPECIFIED Heyl, Marku UNSPECIFIED UNSPECIFIED UNSPECIFIED Zurek, Wojciech H. UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-684608
DOI:	10.1126/sciadv.abl6850
Journal or Publication Title:	Sci. Adv.
Volume:	8
Number:	37
Date:	2022
Publisher:	AMER ASSOC ADVANCEMENT SCIENCE
Place of Publication:	WASHINGTON
ISSN:	2375-2548
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language SPONTANEOUS SYMMETRY-BREAKING; COSMOLOGICAL EXPERIMENTS; STRING FORMATION; VORTEX FORMATION; SIMULATION; MATTER; BIG Multiple languages Multidisciplinary Sciences Multiple languages
URI:	http://kups.ub.uni-koeln.de/id/eprint/68460