Quantum domain walls in the one-dimensional Ising model in a transverse field

1981 ◽  
Vol 81 (7) ◽  
pp. 407-410 ◽  
Author(s):  
P. Prelovšek ◽  
I. Sega
Keyword(s):  
Ising Model ◽  
Domain Walls ◽  
Transverse Field ◽  
One Dimensional ◽  
Quantum Domain ◽  
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

SOME EXACT CALCULATIONS OF AN ALTERNATING TRANSVERSE ISING MODEL

2002 ◽  
Vol 16 (26) ◽  
pp. 3871-3881 ◽  
Author(s):  
HIDENORI SUZUKI ◽  
MASUO SUZUKI
Keyword(s):  
Ising Model ◽  
Transverse Field ◽  
Two Dimensions ◽  
Honeycomb Lattice ◽  
Temperature Phase ◽  
One Dimensional ◽  
Transverse Ising Model ◽  
Temperature Phase Transition ◽  
Exact Calculations ◽  
The One

The alternating transverse Ising model with A and B sublattices is solved exactly in one and two dimensions, when a transverse field applied only to the A sublattice. The critical point of the honeycomb lattice is given as a function of the alternating transverse field. Moreover, the zero-temperature phase transition in the one-dimensional model with another alternating transverse field is discussed rigorously.

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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