State-Selective Signatures of Quantum and Classical Gravitational Environments

Fuente: arXiv
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Autori principali: Nandi, Partha, Sahu, Sankarshan, Majhi, Bibhas Ranjan, Petruccione, Francesco
Natura: Preprint
Pubblicazione: 2026
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author Nandi, Partha
Sahu, Sankarshan
Majhi, Bibhas Ranjan
Petruccione, Francesco
author_facet Nandi, Partha
Sahu, Sankarshan
Majhi, Bibhas Ranjan
Petruccione, Francesco
contents A unified framework is developed for determining whether a gravitational-wave (GW) background behaves as a classical field or as a genuinely quantum environment. Unified here means that both descriptions originate from the same tidal coupling derived from geodesic deviation, which yields an identical quadratic interaction Hamiltonian for the detector; the only distinction lies in whether the GW degrees of freedom are modeled as classical phase-randomized coherent states or as quantized graviton modes. Within this common framework, the reduced dynamics of a quantum harmonic oscillator exhibit a sharp structural contrast: a quantized graviton bath preserves coherence within the lowest phonon-number manifold, forming a protected sector at leading order, whereas a classical stochastic GW field inevitably induces decoherence even inside this subspace. This difference provides an operational criterion for diagnosing the classical or quantum nature of gravitational waves using mesoscopic optomechanical systems. Our results establish decoherence structure - not merely its magnitude - as a sensitive probe of gravitational quantumness and delineate the experimental regimes under which such tests may become feasible.
format Preprint
id arxiv_https___arxiv_org_abs_2603_05731
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle State-Selective Signatures of Quantum and Classical Gravitational Environments
Nandi, Partha
Sahu, Sankarshan
Majhi, Bibhas Ranjan
Petruccione, Francesco
General Relativity and Quantum Cosmology
Statistical Mechanics
High Energy Physics - Theory
Quantum Physics
A unified framework is developed for determining whether a gravitational-wave (GW) background behaves as a classical field or as a genuinely quantum environment. Unified here means that both descriptions originate from the same tidal coupling derived from geodesic deviation, which yields an identical quadratic interaction Hamiltonian for the detector; the only distinction lies in whether the GW degrees of freedom are modeled as classical phase-randomized coherent states or as quantized graviton modes. Within this common framework, the reduced dynamics of a quantum harmonic oscillator exhibit a sharp structural contrast: a quantized graviton bath preserves coherence within the lowest phonon-number manifold, forming a protected sector at leading order, whereas a classical stochastic GW field inevitably induces decoherence even inside this subspace. This difference provides an operational criterion for diagnosing the classical or quantum nature of gravitational waves using mesoscopic optomechanical systems. Our results establish decoherence structure - not merely its magnitude - as a sensitive probe of gravitational quantumness and delineate the experimental regimes under which such tests may become feasible.
title State-Selective Signatures of Quantum and Classical Gravitational Environments
topic General Relativity and Quantum Cosmology
Statistical Mechanics
High Energy Physics - Theory
Quantum Physics
url https://arxiv.org/abs/2603.05731