People often refer to the fact that the vacuum is an entangled state (It's even described as a maximally entangled state).
I was trying to get a feeling for what that really means. The problem is that most descriptions of this are done in the formalism of AQFT, which I'm not very familiar with. The entanglement definitions which I have some feeling for are those of the form
System S Hilbert space $\mathcal{H}$ factorizes as $\mathcal{H}=\mathcal{H}_A \otimes \mathcal{H}_B$ where A and B are two subsystems of S. An entangled state can't be written in the form $\phi_A \otimes \phi_B$
There are then various measures of this, such as entanglement entropy.
So my question is - is it possible to describe the entanglement of the QFT vacuum in these more familiar terms?
Can such a description be given for a simple QFT example, say a Klein Gordon field on Minkowski space?
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