Relativistic Dips in Entangling Power of Gravity
arxiv(2024)
摘要
The salient feature of both classical and quantum gravity is its universal
and attractive character. However, less is known about the behaviour and
build-up of quantum correlations when quantum systems interact via graviton
exchange. In this work, we show that quantum correlations can remain strongly
suppressed for certain choices of parameters even when considering two adjacent
quantum systems in delocalized states. Using the framework of linearized
quantum gravity with post-Newtonian contributions, we find that there are
special values of delocalization where gravitationally induced entanglement
drops to negligible values, albeit non-vanishing. We find a pronounced
cancellation point far from the Planck scale, where the system tends towards
classicalization. In addition, we show that quantum correlations begin to
reemerge for large and tiny delocalizations due to Heisenberg's uncertainty
principle and the universal coupling of gravity to the energy-momentum tensor,
forming a valley of gravitational entanglement.
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