scholarly journals Dynamical crossover in the transient quench dynamics of short-range transverse-field Ising models

2021 ◽  
Vol 103 (21) ◽  
Author(s):  
Ceren B. Dağ ◽  
Kai Sun
Keyword(s):  
Short Range ◽  
Transverse Field ◽  
Ising Models ◽  
Quench Dynamics ◽  
Dynamical Crossover

FRUSTRATED TRANSVERSE ISING MODELS: A CLASS OF FRUSTRATED QUANTUM SYSTEMS

1992 ◽  
Vol 06 (14) ◽  
pp. 2439-2469 ◽  
Author(s):  
P. SEN ◽  
B. K. CHAKRABARTI
Keyword(s):  
Excited States ◽  
Transverse Field ◽  
Ising Models ◽  
Quantum Systems ◽  
Nearest Neighbour ◽  
Competing Interactions ◽  
Annni Model ◽  
Kirkpatrick Model ◽  
Transverse Fields ◽  
Exact Diagonalisation

The analytical and numerical (Monte Carlo and exact diagonalisation) estimates of phase diagrams of frustrated Ising models in transverse fields are discussed here. Specifically we discuss the Sherrington–Kirkpatrick model in transverse field and the Axial Next-Nearest Neighbour Ising (ANNNI) model in transverse field. The effects of quantum fluctuations (induced by the transverse field) on the ground and excited states of such systems with competing interactions (frustration) are also discussed. The results are compared to those available for other frustrated quantum systems.

scholarly journals Relations between short-range and long-range Ising models

2014 ◽  
Vol 89 (6) ◽  
Author(s):  
Maria Chiara Angelini ◽  
Giorgio Parisi ◽  
Federico Ricci-Tersenghi
Keyword(s):  
Long Range ◽  
Short Range ◽  
Ising Models

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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