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Mechanism for the quantum natured gravitons to entangle masses
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Mechanism for the quantum natured gravitons to entangle masses
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This paper points out the importance of the quantum nature of the gravitational interaction with matter in a linearized theory of quantum gravity induced entanglement of masses (QGEM). We will show how the quantum interaction entangles the steady states of a closed system (eigenstates) of two test masses placed in the harmonic traps, and how such a quantum matter-matter interaction emerges from an underlying quantum gravitational field. We will rely upon quantum perturbation theory highlighting the critical assumptions for generating a quantum matter-matter interaction and showing that a classical gravitational field does not render such an entanglement. We will consider two distinct examples; one where the two harmonic oscillators are static and the other where the harmonic oscillators are non-static. In both the cases it is the quantum nature of the gravitons interacting with the harmonic oscillators that are responsible for creating an entangled state with the ground and the excited states of harmonic oscillators as the Schmidt basis. We will compute the concurrence as a criterion for the above entanglement and highlight the role of the spin-2 nature of the graviton for entangling the two harmonic oscillators.
Forward citations
Cited by 5 Pith papers
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Witnessing entanglement between photon and matter due to graviton exchange
A PPT witness criterion is proposed to detect graviton-mediated entanglement between photons and matter qubits, attaining a maximal negativity of -0.052 for non-maximally entangled states when the photon coherent-stat...
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(De)Coherence of a quantum system in an anti-de Sitter spacetime
An oscillator coupled to the confined graviton modes of AdS has an oscillatory decoherence rate; setting its revival period equal to the boundary light-crossing time yields the selection rule 2n+ℓ = 2(1+ω_m L/c) and p...
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Graviton-mediated entanglement due to light bending from a quantum rotor
Virtual graviton exchange between a photon and a high-spinning quantum rotor generates entanglement between photon degrees of freedom and rotor position, with prograde-retrograde motion yielding observable differences...
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Quantum gravitational contrast in creating Schr\"odinger cat state
A matter-wave interferometer with a Schrödinger cat state displaces the graviton vacuum into coherent states, with the left-right overlap providing a gravitational contrast that quantifies entanglement between matter ...
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When does entanglement through gravity imply gravitons?
Entanglement through Newtonian potentials does not imply gravitons unless retardation effects are detected.
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