Quantum quench dynamics in the transverse-field Ising model: A numerical expansion in linked rectangular clusters

Autor(en): Richter, Jonas
Heitmann, Tjark
Steinigeweg, Robin 
Stichwörter: CHAOS; Physics; Physics, Multidisciplinary; RELAXATION; STATISTICAL-MECHANICS; THERMALIZATION; UNIVERSAL DYNAMICS; XY-MODEL
Erscheinungsdatum: 2020
Herausgeber: SCIPOST FOUNDATION
Journal: SCIPOST PHYSICS
Volumen: 9
Ausgabe: 3
Zusammenfassung: 
We study quantum quenches in the transverse-field Ising model defined on different lattice geometries such as chains, two- and three-leg ladders, and two-dimensional square lattices. Starting from fully polarized initial states, we consider the dynamics of the transverse and the longitudinal magnetization for quenches to weak, strong, and critical values of the transverse field. To this end, we rely on an efficient combination of numerical linked cluster expansions (NLCEs) and a forward propagation of pure states in real time. As a main result, we demonstrate that NLCEs comprising solely rectangular clusters provide a promising approach to study the real-time dynamics of two-dimensional quantum many-body systems directly in the thermodynamic limit. By comparing to existing data from the literature, we unveil that NLCEs yield converged results on time scales which are competitive to other state-of-the-art numerical methods.
ISSN: 25424653
DOI: 10.21468/SciPostPhys.9.3.031

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