Inflationary Reheating Classes via Spectral Methods

Abstract

Inflationary reheating is almost completely controlled by the Floquet indices, ${\mu }_k$. Using spectral theory we demonstrate that the stability bands (where ${\mu }_k=0$) of the Mathieu and Lamé equations are destroyed even in Minkowski spacetime, leaving a fractal Cantor set or a measure zero set of stable modes in the cases where the inflaton evolves in an almost-periodic or stochastic manner respectively. These two types of potential model the expected multi-field and quantum backreaction effects during reheating.

5 pages, 2 ps figures, Revtex. Version to appear in Phys. Rev. D (Rapid Communication, July 15)

References in corpus (10)

• Towards the Theory of Reheating After Inflation
• Structure of Resonance in Preheating after Inflation
• On the Back Reaction Problem for Gravitational Perturbations
• Lattice study of classical inflaton decay
• Inflaton Decay and Heavy Particle Production with Negative Coupling
• Geometric Reheating after Inflation
• Stochastic semiclassical cosmological models
• Reheating in the Presence of Noise
• Resonance Structure for Preheating with Massless Fields
• The Preheating - Gravitational Wave Correspondence

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• Reheating the Universe After Multi-Field Inflation
• Gravitational Waves From the End of Inflation: Computational Strategies
• Preheating with non-minimally coupled scalar fields in higher-curvature inflation models
• From Wires to Cosmology
• Reheating in the Presence of Inhomogeneous Noise
• Preheating after N-flation
• Preheating of the nonminimally coupled inflaton field
• Quantum Out-of-Equilibrium Cosmology
• On the Suppression of Parametric Resonance and the Viability of Tachyonic Preheating after Multi-Field Inflation
• Larger Domains from Resonant Decay of Disoriented Chiral Condensates
• Multifield Stochastic Particle Production: Beyond a Maximum Entropy Ansatz
• Fine-Tuning Solution for Hybrid Inflation in Dissipative Chaotic Dynamics
• Curvature Perturbations From Stochastic Particle Production During Inflation
• Stochastic Particle Production in a de Sitter Background
• Preheating after Multi-field Inflation
• Enhanced Preheating after Multi-Field Inflation: On the Importance of being Special
• Particle Production during Inflation in Light of PLANCK
• Chaos and Preheating
• Reheating induced by competing decay modes