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With the detection of gravitational waves from merging binary black holes,over the last few years, there has been a considerable interest in theliterature to understand if these black holes could have originated in theearly universe. If the primordial scalar power over small scales is boostedconsiderably when compared to the COBE normalized amplitude over large scales,then, such an increased power can lead to a copious production of primordialblack holes that can constitute a significant fraction of the cold dark matterdensity today. Recently, many models of inflation involving single or twoscalar fields have been constructed which lead to enhanced power on smallscales. In this work, we examine the evolution of the quantum state of thecurvature perturbations in such single and two field models of inflation usingmeasures of squeezing, entanglement entropy or quantum discord. We find that,in the single as well as the two field models, the extent of squeezing of themodes is enhanced to a certain extent (when compared to the scenarios involvingonly slow roll) over modes which exhibit increased scalar power. Moreover, weshow that, in the two field models, the entanglement entropy associated withthe curvature perturbation, arrived at when the isocurvature perturbation hasbeen traced out, is also enhanced over the small scales. We also take theopportunity to discuss the relation between entanglement entropy and quantumdiscord in the case of the two field model. We conclude with a brief discussionon the wider implications of the results.

Enhanced power on small scales and evolution of quantum state of perturbations in single and two field inflationary models