Monogamy and ground-state entanglement in highly connected systems
Abstract
We consider the ground-state entanglement in highly connected many-body systems consisting of harmonic oscillators and spin- 1/2 systems. Varying their degree of connectivity, we investigate the interplay between the enhancement of entanglement, due to connections, and its frustration, due to monogamy constraints. Remarkably, we see that in many situations the degree of entanglement in a highly connected system is essentially of the same order as in a low connected one. We also identify instances in which the entanglement decreases as the degree of connectivity increases.
- Publication:
-
Physical Review A
- Pub Date:
- November 2007
- DOI:
- 10.1103/PhysRevA.76.052321
- arXiv:
- arXiv:quant-ph/0701009
- Bibcode:
- 2007PhRvA..76e2321F
- Keywords:
-
- 03.67.Mn;
- 03.65.Ud;
- 05.30.-d;
- 05.50.+q;
- Entanglement production characterization and manipulation;
- Entanglement and quantum nonlocality;
- Quantum statistical mechanics;
- Lattice theory and statistics;
- Quantum Physics;
- Condensed Matter - Other Condensed Matter
- E-Print:
- 7 pages, 11 figures. Considerably extended version, with new numerical and analytical results