Wands-dual quasi-de Sitter backgrounds produce identical symplectic eigenvalues in the Gaussian covariance matrix of localized scalar modes, revealing a quantum-informatic symmetry preserved by the duality's canonical transformation properties.
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The special case of slow-roll attractors in de Sitter: Non-Markovian noise and evolution of entanglement entropy
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abstract
We analyse the evolution of the reduced density matrix of inflationary perturbations, coupled to a heavy entropic field via the leading-order term within the Effective Field Theory of Inflation, for two nearly de Sitter backgrounds. We perform a full quantum treatment of the open system and derive a Fokker-Planck equation to describe decoherence and the entanglement structure of the adiabatic perturbations. We find that exotic phenomena, such as recoherence and transient negative growth of entanglement entropy, appearing for the attractor solution, are absent for the non-attractor background. We comment on the relationship of these to the non-Markovian nature of the system. Finally, we generalise to the case where a few e-folds of ultra-slow roll evolution are sandwiched between phases of slow-roll inflation to find its (memory) effects on the curvature perturbation.
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The conventional truncation in stochastic inflation is inconsistent because quadratic-noise contributions are the same perturbative order as the deterministic non-Markovian corrections.
Constructs a manifestly diagonal-BRST-invariant Schwinger-Keldysh path integral for open non-Abelian gauge theories with arbitrary physical initial states, yielding Ward-Takahashi-Slavnov-Taylor identities and a Keldysh BRST symmetry for the Open EFT.
An open quantum system treatment of curvature perturbations during Ultra-Slow-Roll inflation shows that environmental decoherence erases the interference dip, modifies the growth slope, and induces oscillatory features in the scalar power spectrum and scalar-induced gravitational waves.
Two-loop Yukawa corrections in de Sitter yield ⟨ϕ²⟩ ~ ln⁴a at late times, with a resummed expression that is bounded, decreases with larger Yukawa coupling, and implies a growing dynamical scalar mass.
An expression is derived to compute time-dependent Wigner functions directly from initial values in open quantum systems of a non-relativistic particle with a general environment.
citing papers explorer
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Hidden quantum-informatic symmetries of quasi-de Sitter backgrounds
Wands-dual quasi-de Sitter backgrounds produce identical symplectic eigenvalues in the Gaussian covariance matrix of localized scalar modes, revealing a quantum-informatic symmetry preserved by the duality's canonical transformation properties.
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A consistent formulation of stochastic inflation I: Non-Markovian effects and issues beyond linear perturbations
The conventional truncation in stochastic inflation is inconsistent because quadratic-noise contributions are the same perturbative order as the deterministic non-Markovian corrections.
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Schwinger-Keldysh Path Integral for Gauge theories
Constructs a manifestly diagonal-BRST-invariant Schwinger-Keldysh path integral for open non-Abelian gauge theories with arbitrary physical initial states, yielding Ward-Takahashi-Slavnov-Taylor identities and a Keldysh BRST symmetry for the Open EFT.
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When the Environment Speaks: Quantum Signatures in Non-Attractor Inflation
An open quantum system treatment of curvature perturbations during Ultra-Slow-Roll inflation shows that environmental decoherence erases the interference dip, modifies the growth slope, and induces oscillatory features in the scalar power spectrum and scalar-induced gravitational waves.
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Yukawa scalar self energy at two loop and $\langle \phi^2 \rangle$ in the inflationary de Sitter spacetime
Two-loop Yukawa corrections in de Sitter yield ⟨ϕ²⟩ ~ ln⁴a at late times, with a resummed expression that is bounded, decreases with larger Yukawa coupling, and implies a growing dynamical scalar mass.
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Directly computing Wigner functions for open quantum systems
An expression is derived to compute time-dependent Wigner functions directly from initial values in open quantum systems of a non-relativistic particle with a general environment.