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Impact of quantum entanglement induced by magnetic fields on primordial gravitational waves
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There exist observational evidence to believe the existence of primordial magnetic fields generated during inflation. We study primordial gravitational waves (PGWs) during inflation in the presence of magnetic fields sustained by a gauge kinetic coupling. In the model, not only gravitons as excitations of PGWs, but also photons as excitations of electromagnetic fields are highly squeezed. They become entangled with each other through graviton to photon conversion and vice versa. We derive the reduced density matrix for the gravitons and calculate their entanglement entropy. It turns out that the state of the gravitons is not a squeezed state but a mixed state. Although witnessing such an entanglement is not feasible at present, it would be an important experimental challenge.
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Toward graviton detection via photon-graviton quantum state conversion
Photon-to-graviton conversion in a magnetic field is shown to be enhanced by squeezed photon states and by the squeezed vacuum of primordial gravitational waves, with entanglement generation proposed as a quantum signature.
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