For zero-mean Gaussian states in generalized free field theories, one-way local excitability always implies two-way excitability, generalizing the quasiequivalence theorems of Powers, Stormer, van Daele, Araki, and Yamagami.
Verch,Continuity of symplectically adjoint maps and the algebraic structure of Hadamard vacuum representations for quantum fields on curved space-time,Rev
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Excitability in quantum field theory
For zero-mean Gaussian states in generalized free field theories, one-way local excitability always implies two-way excitability, generalizing the quasiequivalence theorems of Powers, Stormer, van Daele, Araki, and Yamagami.