scholarly journals Quantum phase transitions in the one-dimensionalS=1spin-orbital model: Implications for cubic vanadates

2004 ◽  
Vol 69 (10) ◽  
Author(s):  
Satoshi Miyashita ◽  
Akira Kawaguchi ◽  
Norio Kawakami ◽  
Giniyat Khaliullin
Keyword(s):  
Phase Transitions ◽  
Quantum Phase Transitions ◽  
Quantum Phase ◽  
The One

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 Macroscopic multispecies entanglement near quantum phase transitions

2011 ◽  
Vol 11 (1&2) ◽  
pp. 1-7
Author(s):  
V. Subrahmanyam
Keyword(s):  
Phase Transitions ◽  
Particle System ◽  
Quantum Phase Transitions ◽  
Quantum Critical Point ◽  
System Size ◽  
Transverse Magnetic ◽  
Quantum Phase ◽  
Jump Discontinuity ◽  
One Dimensional ◽  
The One

Multi-Species entanglement, defined for a many-particle system as the entanglement between different species of particles, is shown to exist in the thermodynamic limit of the system size going to infinity. This macroscopic entanglement, as it can exhibit singular behavior, is capable of tracking quantum phase transitions. The entanglement between up and down spins has been analytically calculated for the one-dimensional Ising model in a transverse magnetic field. As the coupling strength is varied, the first derivative of the entanglement shows a jump discontinuity and the second derivative diverges near the quantum critical point.

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.

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