Quantifying ground state entanglement of the BCS model

Details Quantifying ground state entanglement of the BCS model Quantifying ground state entanglement of the BCS model

2004-11-04

arxiv.org/abs/quant-ph/0411032v2

Phys.Rev.Lett. 94 (2005) 227002

Physics

Quantum Physics

5 pages, 3 figures. V2: added new results & discussion on crossover regime

Scientific paper

10.1103/PhysRevLett.94.227002

The concept of local concurrence is used to quantify the entanglement between a single qubit and the remainder of a multi-qubit system. For the ground state of the BCS model in the thermodynamic limit the set of local concurrences completely describe the entanglement. As a measure for the entanglement of the full system we investigate the Average Local Concurrence (ALC). We find that the ALC satisfies a simple relation with the order parameter. We then show that for finite systems with fixed particle number, a relation between the ALC and the condensation energy exposes a threshold coupling. Below the threshold, entanglement measures besides the ALC are significant.

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