Is equivalence principle valid for quantum gravitational field?

Abstract

Entanglement can be generated through the gravitational interaction between two massive bodies that are initially in a product state. This shows that the gravitational field is quantum. When the third massive body is introduced and the gravitational interaction only between the third body with either one of the former two bodies is considered, we find that no entanglement is generated between the former two bodies up to the monopole approximation, even though the considered gravitational interaction is quantum. This resembles the behavior of two accelerating two-level atoms that is usually regarded as the Unruh-DeWitt detectors. By linking the acceleration to that generated by the gravitational field, we show that the equivalence principle is still valid even though the gravitational field is quantum.

References in corpus (11)

• The Confrontation between General Relativity and Experiment
• The Unruh effect and its applications
• A Spin Entanglement Witness for Quantum Gravity
• Gravitationally-induced entanglement between two massive particles is sufficient evidence of quantum effects in gravity
• Atomic Interferometer with Amplitude Gratings of Light and its Applications to Atom Based Tests of the Equivalence Principle
• Acceleration-assisted entanglement harvesting and rangefinding
• Hawking radiation, Unruh radiation and the equivalence principle
• Exercices de style: a homotopy theory for set theory, I
• Anti-Unruh Phenomena
• Equivalence Principle for Quantum Systems: Dephasing and Phase Shift of Free-Falling Particles
• Quantum-gravity effects could in principle be witnessed in neutrino-like oscillations