http://arxiv.org/abs/2212.13723
We study the effects of reheating phase on the evolution of complexities for the primordial curvature perturbation using the squeezed formalism. We examine the evolution of the out-of-time correlator (OTOC) and the quantum discord starting from the inflationary epoch till the radiation-dominated epoch with different types of reheating scenarios. We find that, for a mode that re-enters the horizon after reheating, a finite reheating epoch clearly distinguishes the characteristic OTOC and quantum discord freeze-in amplitude into three different classes that only depend on whether the equation of state parameter: $(i)$ $w_\mathrm{re}=1/3$ $(ii)$ $w_\mathrm{re}<1/3$, or, (iii) $w_\mathrm{re}>1/3$ and not on separate reheating histories within the classes. Taking the central value of the scalar spectral index ($n_s=0.9649$) from Planck and the equation of state during reheating $w_\mathrm{re}=0.25$ as benchmark values, we found that the behavior of the complexities for all modes smaller than $1.27\times10^{16}\mathrm{Mpc^{-1}}$ can be classified as above. Conversely, for modes re-entering the horizon during reheating, the signature of EoS on the evolution of the complexities will be embedded in each of the cases separately.
M. Park and P. Saha
Thu, 29 Dec 22
23/47
Comments: 13 pages, 7 figures