Coherent Entanglement between Massive Oscillators from the Quantized Gravitational Field
Abstract
In this work, we investigate how entanglement between two massive quantum particles trapped in harmonic oscillator potentials is generated after they interact with propagating modes of the quantized gravitational field. Specifically, we consider only the entanglement arising from the coherent contribution of the gravitational field to investigate its causal structure. We employ the Feynman-Vernon influence functional approach, within which the contribution of the coherent gravitational field to entanglement generation can be traced to the commutation relation of the gravitational field. Our analysis shows that entanglement does not arise instantaneously after the interaction begins. Instead, there is a time delay proportional to the separation between the two particles before entanglement begins to develop. This result shows that the entanglement arising from the coherent contribution of the gravitational field exhibits a causal structure. The magnitude of the resulting entanglement is generally very small. However, when the initial quantum states of the two particles are prepared as separable squeezed states, the resulting entanglement can be enhanced, with the magnitude of the enhancement depending exponentially on the squeezing parameter.
Related
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BibTeX
@misc{trenggana2026coherent,
title = {{Coherent Entanglement between Massive Oscillators from the Quantized Gravitational Field}},
author = {Anom Trenggana and Freddy P. Zen},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2606.12901},
eprint = {2606.12901},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2606.12901},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Coherent Entanglement between Massive Oscillators from the Quantized Gravitational Field
AU - Anom Trenggana
AU - Freddy P. Zen
PY - 2026
DA - 2026/10/04
PB - arXiv
DO - 10.48550/arxiv.2606.12901
UR - https://arxiv.org/abs/2606.12901
AB - In this work, we investigate how entanglement between two massive quantum particles trapped in harmonic oscillator potentials is generated after they interact with propagating modes of the quantized gravitational field. Specifically, we consider only the entanglement arising from the coherent contribution of the gravitational field to investigate its causal structure. We employ the Feynman-Vernon influence functional approach, within which the contribution of the coherent gravitational field to entanglement generation can be traced to the commutation relation of the gravitational field. Our analysis shows that entanglement does not arise instantaneously after the interaction begins. Instead, there is a time delay proportional to the separation between the two particles before entanglement begins to develop. This result shows that the entanglement arising from the coherent contribution of the gravitational field exhibits a causal structure. The magnitude of the resulting entanglement is generally very small. However, when the initial quantum states of the two particles are prepared as separable squeezed states, the resulting entanglement can be enhanced, with the magnitude of the enhancement depending exponentially on the squeezing parameter.
ER -