Quantum Characteristics Near Event Horizons

Abstract

We investigate quantum characteristics around Schwarzschild black hole, exploring various quantum resources and their interplay in curved space-time. Our analysis reveals intriguing behaviors of quantum coherence, global and genuine multipartite entanglement, first-order coherence, and mutual information in different scenarios. Initially, we consider three particles shared among Alice, Bob, and Charlie in a Minkowski space far from the event horizon, where these particles are correlated via GHZ-type correlation. While Alice's particle remains in Minkowski space, Bob and Charlie accelerate towards the event horizon, experiencing black hole evaporation and generating antiparticles correlated via the Hawking effect. We employ the Kruskal basis formulation to derive a penta-partite pure state shared among particles inside and outside the event horizon. Investigating different scenarios among particles both inside and outside the event horizon, we observe how quantum resources evolve and distribute among consideration of different particles with Hawking temperature and mode frequency. The trade-off relationship between first-order coherence and concurrence fill persists, indicating the intricate interplay between coherence and entanglement. Notably, the mutual information between external observers and particles inside the black hole becomes non-zero, deepening our understanding of quantum effects in curved space-time and shedding light on the quantum nature of the black hole. We believe that these findings will pave the way for future investigations into the fundamental quantum mechanical aspects of gravity under extreme environments.

15 pages, 13 figures

References in corpus (27)

• Quantifying Coherence
• First M87 Event Horizon Telescope Results. IV. Imaging the Central Supermassive Black Hole
• The entropy of Hawking radiation
• Global entanglement in multiparticle systems
• Information Loss in Black Holes
• Quantum coherence and geometric quantum discord
• No-hair theorem for Black Holes in Astrophysical Environments
• Unveiling quantum entanglement degradation near a Schwarzschild black hole
• A Triangle Governs Genuine Tripartite Entanglement
• Genuine tripartite nonlocality and entanglement in curved spacetime
• Projective measurements and generation of entangled Dirac particles in Schwarzschild Spacetime
• Revealing Hidden Coherence in Partially Coherent Light
• Entanglement redistribution in the Schwarzschild spacetime
• Effects of Hawking radiation on the entropic uncertainty in a Schwarzschild space-time
• Generalized Monogamy Relations of Concurrence for N-qubit Systems
• Genuine multipartite entanglement measure
• Hawking effect can generate physically inaccessible genuine tripartite nonlocality
• Fermionic steering and its monogamy relations in Schwarzschild spacetime
• Concurrence triangle induced genuine multipartite entanglement measure
• On the Mutual Information in Hawking Radiation
• Complementarity relations for multi-qubit systems
• Complementary relations of entanglement, coherence, steering and Bell nonlocality inequality violation in three-qubit states
• Unification of quantum resources in tripartite systems
• Quantumness near a Schwarzschild black hole
• Genuine tripartite entanglement of W state subject to Hawking effect of a Schwarzschild black hole
• Complete Genuine Multipartite Entanglement Monotone
• Holographic entanglement entropy of the double Wick rotated BTZ black hole

Cited by in corpus (10)

• Gaussian tripartite steering in Schwarzschild black hole
• Does acceleration always degrade quantum entanglement for tetrapartite Unruh-DeWitt detectors?
• Nonseparability of multipartite systems in dilaton black hole
• Can boundary configuration be tuned to optimize directional quantum steering harvesting?
• Quantumness near the Schwarzschild black hole based on W-state
• Quantum steering for different types of Bell-like states in gravitational background
• Multiqubit coherence of mixed states near event horizon
• Entropic uncertainty and coherence in Einstein-Gauss-Bonnet gravity
• Bosonic and fermionic mutual information of N-partite systems in dilaton black hole background
• Non-monotonic evolution of multipartite entanglement under the Unruh effect