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.

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