Journal article
Designing lattice structures with maximal nearest-neighbor entanglement



Publication Details
Authors:
Navarro-Munoz, J.; Lopez-Sandoval, R.; Garcia, M.
Publication year:
2009
Journal:
Journal of Physics A: Mathematical and Theoretical
Pages range:
315302
Volume number:
42
ISSN:
1751-8113

Abstract
In this paper, we study the numerical optimization of nearest-neighbor concurrence of bipartite one- and two-dimensional lattices, as well as non-bipartite two-dimensional lattices. These systems are described in the framework of a tight-binding Hamiltonian while the optimization of concurrence was performed using genetic algorithms. Our results show that the concurrence of the optimized lattice structures is considerably higher than that of non-optimized systems. In the case of one- dimensional chains, the concurrence increases dramatically when the system begins to dimerize, i.e., it undergoes a structural phase transition (Peierls distortion). This result is consistent with the idea that entanglement is maximal or shows a singularity near quantum phase transitions. Moreover, the optimization of concurrence in two-dimensional bipartite and non-bipartite lattices is achieved when the structures break into smaller subsystems, which are arranged in geometrically distinguishable configurations.


Authors/Editors

Last updated on 2019-01-11 at 16:05