We examine the conditions under which entanglement can be extracted from a quantum field using two localized modes A and B (detector modes). Building upon Simon’s entanglement criterion [1] for bipartite Gaussian states, we reformulate the condition in terms of commutators between the canonical operators of detector mode B and the partner mode P of detector mode A. This reformulation allows us to derive a no-go theorem for entanglement harvesting in certain settings, including uniformly accelerating detectors. Drawing upon the known correspondence between the Unruh effect and Hawking radiation, our result implies the absence of quantum correlations between “real particles” emitted as Hawking radiation.

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• Entanglement in field theory
• Quantum aspects of black holes
• Quantum fields in curved spacetime
• Unruh effect