Detecting entanglement with non-hermitian operators

Details Detecting entanglement with non-hermitian operators Detecting entanglement with non-hermitian operators

2009-10-23

arxiv.org/abs/0910.4567v2

Phys. Rev. A 80 052335 (2009)

Physics

Quantum Physics

Typos corrected

Scientific paper

We derive several entanglement conditions employing non-hermitian operators. We start with two conditions that were derived previously for field mode operators, and use them to derive conditions that can be used to show the existence of field-atom entanglement and entanglement between groups of atoms. The original conditions can be strengthened by making them invariant under certain sets of local unitary transformations, such as Gaussian operations. We then apply these conditions to several examples, such as the Dicke model. We conclude with a short discussion of how local uncertainty relations with non-hermitian operators can be used to derive entanglement conditions.

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