Entanglement, Discord, and Residual Coherence in Scalar-Induced Gravitational Waves

• URL: http://arxiv.org/abs/2606.21901v1
• Date: Sat, 20 Jun 2026 06:37:34 GMT
• Title: Entanglement, Discord, and Residual Coherence in Scalar-Induced Gravitational Waves
• Abstract summary: We investigate whether residual quantum-information properties of the scalar sector can survive decoherence and leave imprints in the induced tensor background.<n>Our results suggest that scalar-induced gravitational waves may offer a new probe of primordial quantum correlations beyond entanglement.
• Score: 1.4975436239088316
• License: http://creativecommons.org/licenses/by-nc-sa/4.0/
• Abstract: Scalar-induced gravitational waves are usually modeled as a classical stochastic background sourced by primordial curvature perturbations. We investigate whether residual quantum-information properties of the scalar sector can survive decoherence and leave imprints in the induced tensor background. Using the covariance-matrix formalism, we describe primordial curvature perturbations as decohered two-mode squeezed Gaussian states and identify the anomalous scalar coherence that may remain after scalar entanglement has vanished. We then derive the leading scalar-to-tensor transfer relations for opposite-momentum induced tensor modes. The ordinary tensor power is sourced by scalar power contractions, whereas the opposite-mode tensor coherence is sourced by anomalous scalar-coherence contractions. This tensor coherence controls the induced Gaussian discord and generates connected and phase-sensitive observables, including a connected power covariance $κ(k)\propto |γ_k|^2/α_k^2$. Thus the robust signature is not a universal shift of the gravitational-wave spectrum, but a correlated tensor background with nontrivial covariance and phase structure. We discuss phenomenological templates and provide an illustrative Fisher estimate for future gravitational-wave observations. Our results suggest that scalar-induced gravitational waves may offer a new probe of primordial quantum correlations beyond entanglement.

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