Surviving correlations across a horizon: reflected entropy for bosonic fields in non-inertial frames and black hole spacetimes

• URL: http://arxiv.org/abs/2608.05473v2
• Date: Wed, 12 Aug 2026 15:22:54 GMT
• Title: Surviving correlations across a horizon: reflected entropy for bosonic fields in non-inertial frames and black hole spacetimes
• Abstract summary: We study the reflected entropy and the Markov gap for modes of a free bosonic field shared by inertial observers.<n>The construction transfers verbatim to a Schwarzschild black hole, where the saturation values become mass-independent constants.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We study the reflected entropy and the Markov gap for modes of a free bosonic field shared by inertial observers (Alice, Charlie) and a uniformly accelerated one (Bob), for a bipartite Bell state and the tripartite Werner (W) and Greenberger--Horne--Zeilinger (GHZ) states. The bosonic Bogoliubov transformation spans an infinite-dimensional Fock space with an unbounded squeezing parameter unlike the fermionic case. By identifying a conserved charge, we block-diagonalize the reduced density matrices into exact two-dimensional sectors, yielding closed or semi-analytic forms for all three states. Although bosonic entanglement is known to vanish asymptotically, the Alice--Bob reflected entropy instead saturates at a nonzero floor, retaining the surviving classical correlation, and converges to the value Alice shares with Bob's causally disconnected partner. Crucially, only the inter-wedge reflected entropy diverges, linearly in the squeezing parameter---the sharp distinction from the fermionic case, where it stays bounded---while the Markov gaps saturate. The construction transfers verbatim to a Schwarzschild black hole, where the saturation values become mass-independent constants.

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