We show that Bogoliubov excited scalar and tensor modes do not alleviate Planckian evolution during inflation if one assumes that $r$ and the Bogoliubov coefficients are approximately scale invariant.
We constrain the excitation parameter for the scalar fluctuations, $\beta$, and tensor perturbations, $\tilde{\beta}$, by requiring that there be at least three decades of scale invariance in the scalar and tensor power spectrum.
For the scalar fluctuations this is motivated by the observed nearly scale invariant scalar power spectrum.
For the tensor fluctuations this assumption may be shown to be valid or invalid by future experiments.
Bogoliubov Excited States and the Lyth Bound · Around
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D. H. Lyth, “What would we learn by detecting a gravitational wave signal in the cosmic microwave background anisotropy?,” Phys. Rev. Lett. 78
1997
Earlier work this paper cites.
J. M. Maldacena, “Non-Gaussian features of primordial fluctuations in single field inflationary models,” JHEP 0305
2003
Earlier work this paper cites.
L. Sriramkumar and T. Padmanabhan, “Initial state of matter fields and trans-Planckian physics: Can CMB observations disentangle the two?,” Phys. Rev. D 71