scholarly journals Fidelity and entanglement entropy in the one-dimensional transverse-field quantum compass model

2013 ◽  
Vol 88 (1) ◽  
pp. 015003 ◽  
Author(s):  
Mostafa Motamedifar ◽  
Saeed Mahdavifar ◽  
Saber Farjami Shayesteh ◽  
Somayyeh Nemati
Keyword(s):  
Entanglement Entropy ◽  
Transverse Field ◽  
One Dimensional ◽  
The One

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.

scholarly journals Markovian and Non-Markovian Dynamics in the One-Dimensional Transverse-Field XY Model

2019 ◽  
Vol 176 (2) ◽  
pp. 492-504
Author(s):  
Z. Saghafi ◽  
S. Mahdavifar ◽  
E. Hosseini Lapasar
Keyword(s):  
Transverse Field ◽  
Xy Model ◽  
One Dimensional ◽  
Markovian Dynamics ◽  
The One

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
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