English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

Investigating the quantum nature of gravity is an important issue in modernphysics. Recently, studies pertaining to the quantum superposition ofgravitational potential have garnered significant interest. Inspired by Mari\textit{et al.} [Sci. Rep. {\bf 6} 22777 (2016)] and Baym and Ozawa [Proc.Natl. Acad. Sci. U.S.A. {\bf 106}, 3035 (2009)], Belenchia \textit{et al.}[Phys. Rev. D {\bf 98}, 126009 (2018)] considered a gedanken experimentinvolving such a quantum superposition and mentioned that the superpositionrenders causality and complementarity inconsistent. They resolved thisinconsistency by considering the quantized dynamical degrees of freedom ofgravity. This suggests a strong relationship between the quantum superpositionof the gravitational potential and the quantization of the gravitational field.In our previous study [Phys. Rev. D {\bf 106}, 125002 (2022)], we have shownthat the quantum uncertainty of a field guarantees the consistency betweencausality and complementarity. In this study, we focus on the entanglementbetween two particles' states due to the electromagnetic/gravitationalpotential and investigate its relationship with quantum uncertainty, causality,and complementarity. Our numerical analyses show that the quantum uncertaintyof the electromagnetic/gravitational field results in vacuum fluctuations andprohibits the entanglement between two particles' states when causality issatisfied. We further demonstrate that complementarity holds when the particlesdo not get entangled. The uncertainty relation does not cause the entanglementbetween two particles' states, which guarantees complementarity.

Quantum uncertainty of gravitational field and entanglement in superposed massive particles