Probing the self-coherence of primordial quantum fluctuations with complexity

TL;DR

This paper investigates the quantum origins of primordial density fluctuations by analyzing recoherence phenomena, using complexity measures to understand the interplay between decoherence and recoherence in early universe models.

Contribution

It introduces a comprehensive analysis of linear entropy and complexity measures in a Gaussian model to diagnose quantum coherence dynamics in cosmological perturbations.

Findings

COF effectively diagnoses system dynamics

Recoherence can occur despite entropy increases

Complexity measures reveal quantum coherence behavior

Abstract

A smoking gun for our current paradigm of the early universe would be direct evidence for the quantum mechanical origin of density perturbations which are conjectured to seed the large scale structure of our universe. A recently-proposed novel phenomenon is that of recoherence, wherein a specific interaction between the adiabatic and the entropic sector leads to the adiabatic mode retaining a coherent state after a transient increase in linear entropy. In this paper, we choose the most general Gaussian action and analyze the evolution of linear entropy, complexity of purification (COP), and complexity of formation (COF) to capture the interplay between decoherence and recoherence in this model. In the presence of two types of couplings that drive these two opposing characteristics, we highlight how COF is an efficient tool for diagnosing dynamics for such an open quantum system.