Quantum Information and Collective Systems: Factorization vs. Frustration, Long-Distance Entanglement, and Bell Inversion Laws

Seminar date and time: 
Thursday, 29 April, 2010 - 14:00
Affiliation: 
Dipartimento di Matematica e Informatica, Università di Salerno
Author: 
Fabrizio Illuminati
Location: 
IFAE seminar room

I will review some recent work carried out in Salerno on the investigation of quantum many-body systems from the viewpoint of quantum information theory. I will discuss ground state factorization and its use as a diagnostic tool to probe quantum frustrated systems. I will then review the phenomenon of long-distance entanglement in quantum spin models, some possible generalizations, and schemes of implementation in coupled cavity arrays and optical lattices. Finally, I will introduce the use of a geometric measure of block bipartite entanglement that allows to identify a hierarchy of 'inversion points' in the ordering of the reduced k-body states in the ground state of quantum spin systems.

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