Causality in quantum optics and entanglement of Minkowski vacuum

Emission of photons by atoms can occur into modes which extend into a region causally disconnected with the emitter. For example, a uniformly accelerated ground-state atom emits a photon into the Unruh-Minkowski mode which is exponentially larger in the causally disconnected region. This makes an im...

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Main Authors: Anatoly Svidzinsky, Arash Azizi, Jonathan S. Ben-Benjamin, Marlan O. Scully, William Unruh
Format: Article
Language:English
Published: American Physical Society 2021-03-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/PhysRevResearch.3.013202
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author Anatoly Svidzinsky
Arash Azizi
Jonathan S. Ben-Benjamin
Marlan O. Scully
William Unruh
author_facet Anatoly Svidzinsky
Arash Azizi
Jonathan S. Ben-Benjamin
Marlan O. Scully
William Unruh
author_sort Anatoly Svidzinsky
collection DOAJ
description Emission of photons by atoms can occur into modes which extend into a region causally disconnected with the emitter. For example, a uniformly accelerated ground-state atom emits a photon into the Unruh-Minkowski mode which is exponentially larger in the causally disconnected region. This makes an impression that photon emission is acausal. Here we show that conventional quantum optical analysis yields that a detector atom will not detect the emitted photon in the region noncausally connected with the emitter. However, joint excitation probability of atoms in the causally disconnected regions can be correlated due to entanglement of Minkowski vacuum and be much larger than the product of independent excitation probabilities. Moreover, atoms uniformly accelerated in the same Rindler wedge cannot become simultaneously excited without changing the state of the field, that is, the Unruh-Minkowski photon emitted by one atom cannot be absorbed by the other atom. We discuss examples demonstrating interesting features of Minkowski vacuum entanglement.
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spelling doaj.art-ee75449a6abf4c53b13fd54329e138412024-04-12T17:07:52ZengAmerican Physical SocietyPhysical Review Research2643-15642021-03-013101320210.1103/PhysRevResearch.3.013202Causality in quantum optics and entanglement of Minkowski vacuumAnatoly SvidzinskyArash AziziJonathan S. Ben-BenjaminMarlan O. ScullyWilliam UnruhEmission of photons by atoms can occur into modes which extend into a region causally disconnected with the emitter. For example, a uniformly accelerated ground-state atom emits a photon into the Unruh-Minkowski mode which is exponentially larger in the causally disconnected region. This makes an impression that photon emission is acausal. Here we show that conventional quantum optical analysis yields that a detector atom will not detect the emitted photon in the region noncausally connected with the emitter. However, joint excitation probability of atoms in the causally disconnected regions can be correlated due to entanglement of Minkowski vacuum and be much larger than the product of independent excitation probabilities. Moreover, atoms uniformly accelerated in the same Rindler wedge cannot become simultaneously excited without changing the state of the field, that is, the Unruh-Minkowski photon emitted by one atom cannot be absorbed by the other atom. We discuss examples demonstrating interesting features of Minkowski vacuum entanglement.http://doi.org/10.1103/PhysRevResearch.3.013202
spellingShingle Anatoly Svidzinsky
Arash Azizi
Jonathan S. Ben-Benjamin
Marlan O. Scully
William Unruh
Causality in quantum optics and entanglement of Minkowski vacuum
Physical Review Research
title Causality in quantum optics and entanglement of Minkowski vacuum
title_full Causality in quantum optics and entanglement of Minkowski vacuum
title_fullStr Causality in quantum optics and entanglement of Minkowski vacuum
title_full_unstemmed Causality in quantum optics and entanglement of Minkowski vacuum
title_short Causality in quantum optics and entanglement of Minkowski vacuum
title_sort causality in quantum optics and entanglement of minkowski vacuum
url http://doi.org/10.1103/PhysRevResearch.3.013202
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