The dynamical behavior of quantum coherence in one-dimensional transverse-field Ising model

2020 ◽  
Vol 540 ◽  
pp. 122944
Author(s):  
Meng Qin ◽  
Li Wang ◽  
Manli He ◽  
Xiao Wang
Keyword(s):  
Ising Model ◽  
Quantum Coherence ◽  
Dynamical Behavior ◽  
Transverse Field ◽  
One Dimensional ◽  
Transverse Field Ising Model

ONE-DIMENSIONAL QUANTUM TRANSVERSE-FIELD ISING MODEL: A SEMICLASSICAL TRANSFER MATRIX APPROACH

2010 ◽  
Vol 24 (27) ◽  
pp. 5457-5468
Author(s):  
TUNCER KAYA
Keyword(s):  
Ising Model ◽  
Transfer Matrix ◽  
Transverse Field ◽  
Paramagnetic Phase ◽  
Ferromagnetic Phase ◽  
Quantum Field ◽  
One Dimensional ◽  
Average Magnetization ◽  
Transfer Matrix Approach ◽  
Transverse Field Ising Model

In this work we present a semi-classical transfer matrix method to study one-dimensional modified quantum transverse-field Ising model. Both average magnetization per spin along the z-direction 〈σz〉 and along the x-direction 〈σx〉 are calculated in this picture. It is predicted that the t > 1 case is the corresponding effective ferromagnetic phase [Formula: see text] at sufficiently high Hz whereas t < 1 case is an effective paramagnetic phase [Formula: see text]. Consequently, it is concluded that t = Hz/K = 1, here Hz is the transverse field along the z-axis and K is the coupling strength, which corresponds to quantum ferromagnetic-paramagnetic phase transition. In other words, the same result of the sophisticated quantum field theoretical calculation is predicted unexpectedly in the naive semiclassical picture.

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