First- and second-order quantum phase transitions in the one-dimensional transverse-field Ising model with boundary fields

2021 ◽  
Vol 103 (2) ◽  
Author(s):  
Kun Hu ◽  
Xintian Wu
Keyword(s):  
Phase Transitions ◽  
Ising Model ◽  
Quantum Phase Transitions ◽  
Transverse Field ◽  
Second Order ◽  
Quantum Phase ◽  
One Dimensional ◽  
The One ◽  
Transverse Field Ising Model ◽  
Boundary Fields

Quantum phase transitions in the one-dimensional transverse Ising model with second-neighbor interactions

2002 ◽  
Vol 66 (6) ◽  
Author(s):  
Paulo R. Colares Guimarães ◽  
João A. Plascak ◽  
Francisco C. Sá Barreto ◽  
João Florencio
Keyword(s):  
Phase Transitions ◽  
Ising Model ◽  
Quantum Phase Transitions ◽  
Quantum Phase ◽  
One Dimensional ◽  
Transverse Ising Model ◽  
The One

scholarly journals FIDELITY APPROACH TO QUANTUM PHASE TRANSITIONS

2010 ◽  
Vol 24 (23) ◽  
pp. 4371-4458 ◽  
Author(s):  
SHI-JIAN GU
Keyword(s):  
Phase Transitions ◽  
Thermal State ◽  
Quantum Phase Transitions ◽  
Transverse Field ◽  
Quantum Phase ◽  
Leading Term ◽  
Many Body Systems ◽  
The One ◽  
Definition Of ◽  
Transverse Field Ising Model

We review the quantum fidelity approach to quantum phase transitions in a pedagogical manner. We try to relate all established but scattered results on the leading term of the fidelity into a systematic theoretical framework, which might provide an alternative paradigm for understanding quantum critical phenomena. The definition of the fidelity and the scaling behavior of its leading term, as well as their explicit applications to the one-dimensional transverse-field Ising model and the Lipkin–Meshkov–Glick model, are introduced at the graduate-student level. Besides, we survey also other types of fidelity approach, such as the fidelity per site, reduced fidelity, thermal-state fidelity, operator fidelity, etc; as well as relevant works on the fidelity approach to quantum phase transitions occurring in various many-body systems.

scholarly journals Dynamical Quantum Phase Transitions in the Transverse-Field Ising Model

2013 ◽  
Vol 110 (13) ◽  
Author(s):  
M. Heyl ◽  
A. Polkovnikov ◽  
S. Kehrein
Keyword(s):  
Phase Transitions ◽  
Ising Model ◽  
Quantum Phase Transitions ◽  
Transverse Field ◽  
Quantum Phase ◽  
Transverse Field Ising Model

scholarly journals Detect genuine multipartite entanglement in the one-dimensional transverse-field Ising model

2010 ◽  
Vol 325 (2) ◽  
pp. 367-372 ◽  
Author(s):  
Dong-Ling Deng ◽  
Shi-Jian Gu ◽  
Jing-Ling Chen
Keyword(s):  
Ising Model ◽  
Transverse Field ◽  
Multipartite Entanglement ◽  
One Dimensional ◽  
The One ◽  
Transverse Field Ising Model ◽  
Genuine Multipartite Entanglement

scholarly journals Matrix product state and quantum phase transitions in the one-dimensional extended quantum compass model

2012 ◽  
Vol 85 (18) ◽  
Author(s):  
Guang-Hua Liu ◽  
Wei Li ◽  
Wen-Long You ◽  
Guang-Shan Tian ◽  
Gang Su
Keyword(s):  
Phase Transitions ◽  
Quantum Phase Transitions ◽  
Quantum Phase ◽  
Matrix Product ◽  
Product State ◽  
One Dimensional ◽  
Matrix Product State ◽  
The One

scholarly journals Quantum phase transitions of one-dimensional period-two anisotropic XY models in a transverse field

2017 ◽  
Vol 66 (18) ◽  
pp. 180302
Author(s):  
Song Jia-Li ◽  
Zhong Ming ◽  
Tong Pei-Qing
Keyword(s):  
Phase Transitions ◽  
Quantum Phase Transitions ◽  
Transverse Field ◽  
Quantum Phase ◽  
One Dimensional
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