Physics – Quantum Physics
Scientific paper
2004-01-23
Physical Review A 70, 062318 (2004)
Physics
Quantum Physics
7 pages, 13 figures, final version (accepted for publication in PRA)
Scientific paper
10.1103/PhysRevA.70.062318
Motivated by its relation to an $\cal{NP}$-hard problem, we analyze the ground state properties of anti-ferromagnetic Ising-spin networks embedded on planar cubic lattices, under the action of homogeneous transverse and longitudinal magnetic fields. This model exhibits a quantum phase transition at critical values of the magnetic field, which can be identified by the entanglement behavior, as well as by a Majorization analysis. The scaling of the entanglement in the critical region is in agreement with the area law, indicating that even simple systems can support large amounts of quantum correlations. We study the scaling behavior of low-lying energy gaps for a restricted set of geometries, and find that even in this simplified case, it is impossible to predict the asymptotic behavior, with the data allowing equally good fits to exponential and power law decays. We can therefore, draw no conclusion as to the algorithmic complexity of a quantum adiabatic ground-state search for the system.
Orus Roman
Wellard Cameron
No associations
LandOfFree
Quantum Phase Transitions in Anti-ferromagnetic Planar Cubic Lattices does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Quantum Phase Transitions in Anti-ferromagnetic Planar Cubic Lattices, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quantum Phase Transitions in Anti-ferromagnetic Planar Cubic Lattices will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-8115