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We show in this article that the Reeh-Schlieder property holds for states ofquantum fields on real analytic spacetimes if they satisfy an analyticmicrolocal spectrum condition. This result holds in the setting of generalquantum field theory, i.e. without assuming the quantum field to obey aspecific equation of motion. Moreover, quasifree states of the Klein-Gordonfield are further investigated in this work and the (analytic) microlocalspectrum condition is shown to be equivalent to simpler conditions. We alsoprove that any quasifree ground- or KMS-state of the Klein-Gordon field on astationary real analytic spacetime fulfills the analytic microlocal spectrumcondition.Comment: 31 pages, latex2

Microlocal analysis of quantum fields on curved space–times: Analytic wave front sets and Reeh–Schlieder theorems