scholarly journals Dynamics of longitudinal magnetization in transverse-field quantum Ising model: from symmetry-breaking gap to Kibble–Zurek mechanism

2020 ◽  
Vol 2020 (1) ◽  
pp. 013108 ◽  
Author(s):  
Michał Białończyk ◽  
Bogdan Damski
Keyword(s):  
Ising Model ◽  
Symmetry Breaking ◽  
Transverse Field ◽  
Longitudinal Magnetization ◽  
Quantum Ising Model

scholarly journals Quantum Ising model in a period-2 modulated transverse field

2019 ◽  
Vol 100 (2) ◽  
Author(s):  
Adalberto D. Varizi ◽  
Raphael C. Drumond
Keyword(s):  
Ising Model ◽  
Transverse Field ◽  
Period 2 ◽  
Quantum Ising Model

scholarly journals Bounded Entanglement Entropy in the Quantum Ising Model

2019 ◽  
Vol 178 (1) ◽  
pp. 281-296
Author(s):  
Geoffrey R. Grimmett ◽  
Tobias J. Osborne ◽  
Petra F. Scudo
Keyword(s):  
Ising Model ◽  
Disordered Systems ◽  
Entanglement Entropy ◽  
Transverse Field ◽  
Stat Phys ◽  
Random Cluster Model ◽  
One Dimensional ◽  
Quantum Ising Model ◽  
The One ◽  
The Continuum

AbstractA rigorous proof is presented of the boundedness of the entanglement entropy of a block of spins for the ground state of the one-dimensional quantum Ising model with sufficiently strong transverse field. This is proved by a refinement of the stochastic geometric arguments in the earlier work by Grimmett et al. (J Stat Phys 131:305–339, 2008). The proof utilises a transformation to a model of classical probability called the continuum random-cluster model. Our method of proof is fairly robust, and applies also to certain disordered systems.

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