Bosonic and fermionic mutual information of N-partite systems in dilaton black hole background

Abstract

We investigate multipartite total amount of correlations by analyzing the mutual information of N-partite states for both free bosonic and fermionic fields in the background of a Garfinkle-Horowitz-Strominger (GHS) dilaton black hole. Focusing on multipartite GHZ and W states, we examine how the Hawking effect influences the N-partite mutual information when one observer hovers near the event horizon while the remaining observers stay in the asymptotically flat region. By tracing over the inaccessible modes inside the event horizon, we derive analytical expressions for the N-partite mutual information in dilaton spacetime for both bosonic and fermionic fields. Our results show that fermionic mutual information is larger than its bosonic counterpart under the influence of the dilaton black hole, whereas the fermionic relative entropy of coherence (REC) is smaller than the bosonic REC. Moreover, the mutual information of GHZ states is consistently larger than that of W states, while the REC of GHZ states is smaller than that of W states in curved spacetime. These findings reveal distinct behaviors of multipartite mutual information and quantum coherence for different particle statistics and multipartite state structures under gravitational effects, providing further insight into many-body total correlations in curved spacetime.

29 pages, 5 figures

References in corpus (45)

• Entanglement of Dirac fields in non-inertial frames
• Continuous variable entanglement sharing in non-inertial frames
• Hawking radiation, Entanglement and Teleportation in background of an asymptotically flat static black hole
• Quantum Mutual Information as a Probe for Many-Body Localization
• Light rings and shadows of static black holes in effective quantum gravity
• Lorentz violation alleviates gravitationally induced entanglement degradation
• Satellite-based entanglement distribution and quantum teleportation with continuous variables
• Entanglement amplification between superposed detectors in flat and curved spacetimes
• Quantum signatures of black hole mass superpositions
• Accessible and inaccessible quantum coherence in relativistic quantum systems
• Hawking effect can generate physically inaccessible genuine tripartite nonlocality
• Quantum superpositions of Minkowski spacetime
• Entropic uncertainty relations in Schwarzschild space-time
• Harvesting correlations from BTZ black hole coupled to a Lorentz-violating vector field
• Would quantum coherence be increased by curvature effect in de Sitter space?
• Quantum Characteristics Near Event Horizons
• Maximal steered coherence in the background of Schwarzschild space-time
• Basis-independent quantum coherence and its distribution under relativistic motion
• Entanglement harvesting in cosmic string spacetime
• Entanglement degradation as a tool to detect signatures of quantum gravity
• Light rings and shadows of static black holes in effective quantum gravity II: A new solution without Cauchy horizons
• Observational signature of Lorentz violation in acceleration radiation
• Quantum entanglement in cosmology
• Simulation of the massless Dirac field in 1+1D curved spacetime
• Gaussian tripartite steering in Schwarzschild black hole
• Bosonic and fermionic coherence of N-partite states in the background of a dilaton black hole
• Entanglement dynamics in $\kappa$-deformed spacetime
• Inflationary Krylov complexity
• Harvesting correlations from vacuum quantum fields in the presence of a reflecting boundary
• Optimal quantum strategy for locating Unruh channels
• Genuine four-partite Bell nonlocality in the curved spacetime
• Does acceleration always degrade quantum entanglement for tetrapartite Unruh-DeWitt detectors?
• Entanglement harvesting in quantum superposed spacetime
• Toward the Observation of Entangled Pairs in BEC analogue Expanding Universes
• Violation of Bell inequalities in an analogue black hole
• Dissipation suppression for an Unruh-DeWitt battery with a reflecting boundary
• Entanglement Degradation in Causal Diamonds
• Signatures of gravitational wave memory in the radiative process of entangled quantum probes
• Generation of quantum coherence for continuous variables between causally disconnected regions in dilaton spacetime
• Entropic uncertainty and quantum non-classicality of Unruh-Dewitt detectors in relativity
• Can the latent signatures of quantum superposition be detected through correlation harvesting?
• Minkowski vacuum entanglement and accelerated oscillator chains
• Nonseparability of multipartite systems in dilaton black hole
• Fermionic condensate and the mean energy-momentum tensor in the Fulling-Rindler vacuum
• The importance of using the averaged mutual information when quantifying quantum objectivity