In single-field inflation, gravitational interactions mixing short-wavelength tensor and scalar modes decohere long-wavelength scalar perturbations at a rate proportional to (H/M_p)^2, with no suppression by the slow-roll parameter.
The Accuracy of Perturbative Master Equations
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abstract
We consider open quantum systems with dynamics described by master equations that have perturbative expansions in the system-environment interaction. We show that, contrary to intuition, full-time solutions of order-2n accuracy require an order-(2n+2) master equation. We give two examples of such inaccuracies in the solutions to an order-2n master equation: order-2n inaccuracies in the steady state of the system and order-2n positivity violations, and we show how these arise in a specific example for which exact solutions are available. This result has a wide-ranging impact on the validity of coupling (or friction) sensitive results derived from second-order convolutionless, Nakajima-Zwanzig, Redfield, and Born-Markov master equations.
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Tensor Catalyzed Decoherence of Primordial Scalar Fluctuations
In single-field inflation, gravitational interactions mixing short-wavelength tensor and scalar modes decohere long-wavelength scalar perturbations at a rate proportional to (H/M_p)^2, with no suppression by the slow-roll parameter.