On Measure of Entanglement Between Any Two Parts of a Many-body System

Details On Measure of Entanglement Between Any Two Parts of a Many-body System On Measure of Entanglement Between Any Two Parts of a Many-body System

2012-01-26

arxiv.org/abs/1201.5620v3

Physics

Quantum Physics

16 pages, 3 figures; minor changes in text

Scientific paper

Here we derive the optimality condition for a measure of entanglement between two spatially separated parts of a many-body system (in a pure state). We then introduce concept of a basis-independent and unique measure by extending the notion of entanglement entropy for a single-step measurement to that for a multi-step measurement. The measure one gets here can easily be calculated without any need for an optimization process. We also discuss the important cases when this measure satisfies the optimality condition. In the last part of the paper some numerical results are presented, both for spin and fermionic models, to show how the measure of entanglement varies with the distance between two sites and also with the parameters of a model.

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