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.

arXiv comment29 pages, accepted for publication in PRD

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Cited by in corpus (38)

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• The Berry phase from the entanglement of future and past light cones: detecting the timelike Unruh effect
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• Unified formalism for Thermal Quantum Field Theories: a geometric viewpoint
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• Entangled vacuum state for accelerated observers
• Modular theory and affine representations on the Rindler horizon