scholarly journals Dynamical quantum phase transitions in the axial next-nearest-neighbor Ising chain

2014 ◽  
Vol 90 (12) ◽  
Author(s):  
J. N. Kriel ◽  
C. Karrasch ◽  
S. Kehrein
Keyword(s):  
Phase Transitions ◽  
Nearest Neighbor ◽  
Quantum Phase Transitions ◽  
Quantum Phase ◽  
Ising Chain

scholarly journals Quantum phase transitions of a square-lattice Heisenberg antiferromagnet with two kinds of nearest-neighbor bonds: A high-order coupled-cluster treatment

2000 ◽  
Vol 61 (21) ◽  
pp. 14607-14615 ◽  
Author(s):  
Sven E. Krüger ◽  
Johannes Richter ◽  
Jörg Schulenburg ◽  
Damian J. J. Farnell ◽  
Raymond F. Bishop
Keyword(s):  
Phase Transitions ◽  
Nearest Neighbor ◽  
Quantum Phase Transitions ◽  
High Order ◽  
Quantum Phase ◽  
Square Lattice ◽  
Coupled Cluster ◽  
Heisenberg Antiferromagnet

Experimentally detecting dynamical quantum phase transitions in a slowly quenched Ising-chain model

2020 ◽  
Vol 102 (4) ◽  
Author(s):  
Zhe Chen ◽  
Jin-Ming Cui ◽  
Ming-Zhong Ai ◽  
Ran He ◽  
Yun-Feng Huang ◽  
...  
Keyword(s):  
Phase Transitions ◽  
Quantum Phase Transitions ◽  
Quantum Phase ◽  
Chain Model ◽  
Ising Chain

scholarly journals Quantum correlations in critical XXZ system and LMG model

2018 ◽  
Vol 16 (03) ◽  
pp. 1850029 ◽  
Author(s):  
Biao-Liang Ye ◽  
Bo Li ◽  
Xianqing Li-Jost ◽  
Shao-Ming Fei
Keyword(s):  
Phase Transitions ◽  
Nearest Neighbor ◽  
Quantum Phase Transitions ◽  
Quantum Correlations ◽  
Quantum Phase ◽  
Trace Distance ◽  
Quantum Uncertainty ◽  
Hartree Fock ◽  
Local Quantum Uncertainty ◽  
Local Quantum

We investigate the quantum phase transitions for the [Formula: see text] spin-1/2 chains via the quantum correlations between the nearest and next-to-nearest neighbor spins characterized by negativity, information deficit, trace distance discord and local quantum uncertainty. It is shown that all these correlations exhibit the quantum phase transitions at [Formula: see text]. However, only information deficit and local quantum uncertainty can demonstrate quantum phase transitions at [Formula: see text]. The analytical and numerical behaviors of the quantum correlations for the [Formula: see text] system are presented. We also consider quantum correlations in the Hartree–Fock ground state of the Lipkin–Meshkov–Glick (LMG) model.

RIGOROUS RESULTS FOR THE QUANTUM PHASE TRANSITIONS IN A DIMERIZED S = 1 ISING LATTICE

2007 ◽  
Vol 22 (07n10) ◽  
pp. 727-731 ◽  
Author(s):  
HAINA WU ◽  
ZHIHUA YANG ◽  
JIANHUI DAI ◽  
HEPING YING
Keyword(s):  
Phase Transitions ◽  
Critical Points ◽  
Ground State ◽  
Quantum Phase Transitions ◽  
Quantum Phase ◽  
Ising Chain ◽  
Ising Lattice ◽  
Rigorous Results ◽  
Crystal Fields ◽  
Transverse Fields

We examine the ground state properties of a dimerized ferromagnetic S = 1 Ising chain with single-ion crystal fields by mapping the model onto the dimerized S = 1/2 Ising chain with transverse fields. We show that the system exhibits a series of Ising transitions depending on the dimerization strength of the crystal fields, while the critical points can be determined exactly.

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