Probing the self-coherence of primordial quantum fluctuations with complexity

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.

20 pages, 7 figures, version published in JCAP

References in corpus (70)

• Warm Inflation
• Quantum Computation as Geometry
• Circuit complexity in quantum field theory
• Towards Complexity for Quantum Field Theory States
• Ekpyrotic and Cyclic Cosmology
• Liouville Action as Path-Integral Complexity: From Continuous Tensor Networks to AdS/CFT
• Circuit Complexity in Fermionic Field Theory
• Complexity and entanglement for thermofield double states
• Quantum Computation as Gravity
• Circuit complexity for free fermions
• Circuit complexity in interacting QFTs and RG flows
• Purity of Gaussian states: measurement schemes and time-evolution in noisy channels
• Einstein's Equations from Varying Complexity
• Quantum Computational Complexity -- From Quantum Information to Black Holes and Back
• Circuit Complexity for Coherent States
• Complexity as a novel probe of quantum quenches: universal scalings and purifications
• Subsystem Complexity and Holography
• Path-Integral Complexity for Perturbed CFTs
• Time Evolution of Complexity: A Critique of Three Methods
• Chaos and Complexity in Quantum Mechanics
• Effective Field Theory and Decoupling in Multi-field Inflation: An Illustrative Case Study
• Complexity of Mixed States in QFT and Holography
• Complexity for Conformal Field Theories in General Dimensions
• Geometry of Complexity in Conformal Field Theory
• Renormalized Circuit Complexity
• Complexity measures from geometric actions on Virasoro and Kac-Moody orbits
• The Multi-faceted Inverted Harmonic Oscillator: Chaos and Complexity
• Cosmological Complexity
• Planck-Suppressed Operators
• Scale-invariance in expanding and contracting universes from two-field models
• A cosmological open quantum system
• Circuit Complexity across a Topological Phase Transition
• Post-Quench Evolution of Complexity and Entanglement in a Topological System
• The Rise of Cosmological Complexity: Saturation of Growth and Chaos
• Entanglement of Purification in Free Scalar Field Theories
• Discord and Decoherence
• Benchmarking the cosmological master equations
• The connection between holographic entanglement and complexity of purification
• Emergent Cosmology from Matrix Theory
• From CFTs to theories with Bondi-Metzner-Sachs symmetries: Complexity and out-of-time-ordered correlators
• Complexity from the Reduced Density Matrix: a new Diagnostic for Chaos
• Quantum corrections to the primordial tensor spectrum: Open EFTs & Markovian decoupling of UV modes
• Multifield inflation beyond $N_{\mathrm{field}}=2$: non-Gaussianities and single-field effective theory
• Quantum recoherence in the early universe
• Circuit complexity for generalised coherent states in thermal field dynamics
• Exact Gravity Duals for Simple Quantum Circuits
• Cutoff Dependence and Complexity of the CFT${}_2$ Ground State
• Four-mode squeezed states: two-field quantum systems and the symplectic group $\mathrm{Sp}(4,\mathbb{R})$
• Complexity and Momentum
• Cosmic Purity Lost: Perturbative and Resummed Late-Time Inflationary Decoherence
• $T\bar{T}$ Deformation and the Complexity=Volume Conjecture
• Integrability and complexity in quantum spin chains
• Decoherence out of fire: Purity loss in expanding and contracting universes
• Comparing quantumness criteria
• Quantum Circuit Complexity of Primordial Perturbations
• The Early Universe as an Open Quantum System: Complexity and Decoherence
• Complexity for Open Quantum System
• Pseudo complexity of purification for free scalar field theories
• Complexity and information geometry in spin chains
• Complexity of warped conformal field theory
• Decoherence, Entanglement Negativity and Circuit Complexity for Open Quantum System
• Intro to Effective Field Theories and Inflation
• Complexity, Information Geometry, and Loschmidt Echo near Quantum Criticality
• Circuit Complexity in Topological Quantum Field Theory
• Complexity of non-trivial sound speed in inflation
• Circuit Complexity for Carrollian Conformal (BMS) Field Theories
• Cosmological complexity of the modified dispersion relation
• Primordial cosmic complexity and effects of reheating
• Time-convolutionless cosmological master equations: Late-time resummations and decoherence for non-local kernels
• De Sitter space, complexity, and the double-scaled SYK model