Physics – Quantum Physics
Scientific paper
2007-05-25
Phys. Rev. A 78, 012335 (2008)
Physics
Quantum Physics
10 pages, 8 figures; v3: further results about spin systems added
Scientific paper
10.1103/PhysRevA.78.012335
We address the presence of non-distillable (bound) entanglement in natural many-body systems. In particular, we consider standard harmonic and spin-1/2 chains, at thermal equilibrium and characterized by few interaction parameters. The existence of bound entanglement is addressed by calculating explicitly the negativity of entanglement for different partitions. This allows to individuate a range of temperatures for which no entanglement can be distilled by means of local operations, despite the system being globally entangled. We discuss how the appearance of bound entanglement can be linked to entanglement-area laws, typical of these systems. Various types of interactions and topologies are explored, showing that the presence of bound entanglement is an intrinsic feature of these systems. In the harmonic case, we analytically prove that thermal bound entanglement persists for systems composed by an arbitrary number of particles. Our results strongly suggest the existence of bound entangled states in the macroscopic limit also for spin-1/2 systems.
Acin Antonio
Cavalcanti Daniel
Ferraro Alessandro
Garcia-Saez Artur
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