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

Author: Mark Hillery, Ho Trung Dung, Julien Niset



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