scholarly journals Quantum quench dynamics in the transverse field Ising model at nonzero temperatures

2016 ◽  
Vol 93 (10) ◽  
Author(s):  
Nils O. Abeling ◽  
Stefan Kehrein
Keyword(s):  
Ising Model ◽  
Transverse Field ◽  
Quantum Quench ◽  
Quench Dynamics ◽  
Transverse Field Ising Model

Quantum quench dynamics of the one-dimensional Ising model in transverse field

Pramana ◽  
2019 ◽  
Vol 92 (4) ◽  
Author(s):  
Wei-Ke Zou ◽  
Nuo-Wei Li ◽  
Chong Han ◽  
Dong-dong Liu
Keyword(s):  
Ising Model ◽  
Transverse Field ◽  
One Dimensional ◽  
Quantum Quench ◽  
Quench Dynamics ◽  
The One

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.

scholarly journals Pseudo-Yang-Lee Edge Singularity Critical Behavior in a Non-Hermitian Ising Model

Entropy ◽  
2020 ◽  
Vol 22 (7) ◽  
pp. 780
Author(s):  
Liang-Jun Zhai ◽  
Guang-Yao Huang ◽  
Huai-Yu Wang
Keyword(s):  
Phase Transition ◽  
Ising Model ◽  
Critical Behavior ◽  
Critical Region ◽  
Numerical Study ◽  
Transverse Field ◽  
Scaling Theory ◽  
New Order ◽  
Edge Singularity ◽  
Transverse Field Ising Model

The quantum phase transition of a one-dimensional transverse field Ising model in an imaginary longitudinal field is studied. A new order parameter M is introduced to describe the critical behaviors in the Yang-Lee edge singularity (YLES). The M does not diverge at the YLES point, a behavior different from other usual parameters. We term this unusual critical behavior around YLES as the pseudo-YLES. To investigate the static and driven dynamics of M, the (1+1) dimensional ferromagnetic-paramagnetic phase transition ((1+1) D FPPT) critical region, (0+1) D YLES critical region and the (1+1) D YLES critical region of the model are selected. Our numerical study shows that the (1+1) D FPPT scaling theory, the (0+1) D YLES scaling theory and (1+1) D YLES scaling theory are applicable to describe the critical behaviors of M, demonstrating that M could be a good indicator to detect the phase transition around YLES. Since M has finite value around YLES, it is expected that M could be quantitatively measured in experiments.

scholarly journals Worm-algorithm-type simulation of the quantum transverse-field Ising model

2020 ◽  
Vol 102 (9) ◽  
Author(s):  
Chun-Jiong Huang ◽  
Longxiang Liu ◽  
Yi Jiang ◽  
Youjin Deng
Keyword(s):  
Ising Model ◽  
Transverse Field ◽  
Transverse Field Ising Model
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