Complexity of non-trivial sound speed in inflation

Treating the universe as a quantum system, we investigate the impact of the non-trivial sound speed of the circuit complexity on the inflationary period, in which the sound speed is within a type of resonant sound speed characterized by the parameter xi. The vacuum state of curvature perturbation could be treated as squeezed states with two modes, characterized by the two most essential parameters: angle parameter phi k and squeezing parameter rk. Through Schro spacing diaeresis dinger equation, the more deviation of sound speed will lead to a faster oscillation behavior in inflation. Consequently, the circuit complexity of scalar curvature perturbation will also show the rapid oscillation before the horizon exits compared with cS = 1. With the larger values of xi, it will show that the scrambling time will be lagged.(c) 2022 Elsevier B.V. All rights reserved.

Automated summary

This study investigated the impact of non-trivial sound speed on the inflationary period in a quantum system, finding that greater sound speed deviation leads to faster inflation behavior, and larger xi values result in lagging scrambling time.