Radiative processes of two entangled atoms outside a Schwarzschild black hole

Abstract

We consider radiative processes of a quantum system composed by two identical two-level atoms in a black-hole background. We assume that these identical two-level atoms are placed at fixed radial distances outside a Schwarzschild black hole and interacting with a quantum electromagnetic field prepared in one of the usual vacuum states, namely the Boulware, Unruh or the Hartle-Hawking vacuum states. We study the structure of the rate of variation of the atomic energy. The intention is to identify in a quantitative way the contributions of vacuum fluctuations and radiation reaction to the entanglement generation between the atoms as well as the degradation of entangled states in the presence of an event horizon. We find that for a finite observation time the atoms can become entangled for the case of the field in the Boulware vacuum state, even if they are initially prepared in a separable state. In addition, the rate of variation of atomic energy is not well behaved at the event horizon due to the behavior of the proper accelerations of the atoms. We show that the thermal nature of the Hartle-Hawking and Unruh vacuum state allows the atoms to get entangled even if they were initially prepared in the separable ground state.

Accepted for publication in Physical Review D

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• Radiative process of two entangled uniformly accelerated atoms in a thermal bath: a possible case of anti-Unruh event
• Radiative process of two entanglement atoms in de Sitter spacetime
• Entanglement harvesting from conformal vacuums between two Unruh-DeWitt detectors moving along null paths
• Entanglement dynamics in a Kerr spacetime
• Boundarylike behaviors of the resonance interatomic energy in a cosmic string spacetime
• Spontaneous excitation of an atom in a Kerr spacetime
• Radiation-reaction-induced transitions of two maximally entangled atoms in non-inertial motion
• Local Description of Decoherence of Quantum Superpositions by Black Holes and Other Bodies
• Thermal and nonthermal scaling of the Casimir-Polder interaction in a black hole spacetime
• Interatomic interaction of two ground-state atoms in vacuum: contributions of vacuum fluctuations and radiation reaction
• Universal role of curvature in vacuum entanglement
• Entanglement dynamics in random media
• Radiative Processes of Entangled Detectors in Rotating Frames
• Entanglement dynamics: Generalized master equation for uniformly accelerated two-level systems
• Fulling-Davies-Unruh effect for accelerated two-level single and entangled atomic systems
• Collective dynamics of accelerated atoms
• Atom-field dynamics in curved spacetime
• Single and entangled atomic systems in thermal bath and the Fulling-Davies-Unruh effect
• Gravitational waves decohere quantum superpositions