For quadratic inflaton potentials Boltzmann and Bogoliubov spectra agree at short wavelengths, but for steeper potentials non-adiabatic transition effects captured only by Bogoliubov are sizable across a broad momentum range.
Allen,The Stochastic Gravity Wave Background in Inflationary Universe Models, Phys
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Graviton Production from Inflaton Condensate: Boltzmann vs Bogoliubov
For quadratic inflaton potentials Boltzmann and Bogoliubov spectra agree at short wavelengths, but for steeper potentials non-adiabatic transition effects captured only by Bogoliubov are sizable across a broad momentum range.