Entanglement of the Vacuum between Left, Right, Future, and Past: The Origin of Entanglement-Induced Quantum Radiation

Abstract

The Minkowski vacuum state is expressed as an entangled state between the left and right Rindler wedges when it is constructed on the Rindler vacuum. In this paper, we further examine the entanglement structure and extend the expression to the future (expanding) and past (shrinking) Kasner spacetimes. This clarifies the origin of the quantum radiation produced by an Unruh--DeWitt detector in uniformly accelerated motion in the four-dimensional Minkowski spacetime. We also investigate the two-dimensional massless case where the quantum radiation vanishes but the same entanglement structure exists.

29 pages, accepted for publication in PRD

References in corpus (7)

• The Unruh effect and its applications
• Entanglement between the future and past in the quantum vacuum
• Signatures of the Unruh effect from electrons accelerated by ultra-strong laser fields
• On the relation between Unruh and Sokolov--Ternov effects
• Table-top creation of entangled multi-keV photon pairs via the Unruh effect
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Cited by in corpus (7)

• Quantum fields in the future Rindler wedge
• Atom-Field Interaction: From Vacuum Fluctuations to Quantum Radiation and Quantum Dissipation / Radiation Reaction
• The Particle and Energy Cost of Entanglement of Hawking Radiation with the Final Vacuum State
• The Casimir densities for a sphere in the Milne universe
• Gravitational waves in Kasner spacetimes and Rindler wedges in Regge-Wheeler gauge: Unruh effect
• On Firewalls in quantum-corrected General Relativity
• Fluctuations and non-Gaussianity in de Sitter spacetime from holographic entanglement entropy