Two-point correlators in de Sitter-prepared states with bra-ket wormholes

Abstract: Motivated by the finiteness of de Sitter (dS) horizon entropy, we study how `bra-ket wormholes'' modify correlation functions in gravitationally prepared states. Euclidean wormhole saddles in gravitational path integrals can generate non-factorizing contributions to correlation functions, as in replica-wormhole explanation of the Page curve and bra-ket-wormhole restoration of strong subadditivity. By definingtime' variables and computing observables in a flat region attached to the dS boundary, we evaluate bra-ket wormhole contributions to scalar two-point functions and find a late-time transition in the dominant saddle, accompanied by ramp-and-plateau behavior of correlations and characteristic timescale comparable to the fast scrambling. Our results are built upon (i) inflationary horizon exit and re-entry, (ii) enhancement of correlation at small comoving momentum $k$ by wormhole contribution, and (iii) a competition between mode counting and topological suppression that drives a transition to wormhole dominance. Although results are qualitatively consistent, one needs to address wormhole stabilization to clearly interpret in terms of the entropy context.