scholarly journals Renormalization group study of the two-dimensional random transverse-field Ising model

2010 ◽  
Vol 82 (5) ◽  
Author(s):  
István A. Kovács ◽  
Ferenc Iglói
Keyword(s):  
Renormalization Group ◽  
Ising Model ◽  
Transverse Field ◽  
Two Dimensional ◽  
Transverse Field Ising Model

scholarly journals Eigenstate thermalization in the two-dimensional transverse field Ising model

2016 ◽  
Vol 93 (3) ◽  
Author(s):  
Rubem Mondaini ◽  
Keith R. Fratus ◽  
Mark Srednicki ◽  
Marcos Rigol
Keyword(s):  
Ising Model ◽  
Transverse Field ◽  
Two Dimensional ◽  
Transverse Field Ising Model

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

2020 ◽  
Vol 9 (3) ◽  
Author(s):  
Jonas Richter ◽  
Tjark Heitmann ◽  
Robin Steinigeweg
Keyword(s):  
Ising Model ◽  
Real Time ◽  
Transverse Field ◽  
Two Dimensional ◽  
Longitudinal Magnetization ◽  
Time Dynamics ◽  
Quantum Quenches ◽  
Many Body Systems ◽  
Quench Dynamics ◽  
Transverse Field Ising Model

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.

Sign in / Sign up

Export Citation Format

Share Document