Rabi oscillations and entanglement between two atoms interacting by the Rydberg blockade studied by the Jaynes–Cummings Model

The interaction between atoms and a quantized radiation field is fundamentally important in quantum optics and quantum information science. Due to their unusual properties, Rydberg atoms are promising building blocks for two-qubit gates and atom-light quantum interfaces, exploiting the Rydberg block...

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Main Authors: Francisco D. Santillan, Andreas Hanke
Format: Article
Language:English
Published: Elsevier 2025-08-01
Series:Physics Open
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Online Access:http://www.sciencedirect.com/science/article/pii/S2666032625000420
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author Francisco D. Santillan
Andreas Hanke
author_facet Francisco D. Santillan
Andreas Hanke
author_sort Francisco D. Santillan
collection DOAJ
description The interaction between atoms and a quantized radiation field is fundamentally important in quantum optics and quantum information science. Due to their unusual properties, Rydberg atoms are promising building blocks for two-qubit gates and atom-light quantum interfaces, exploiting the Rydberg blockade interaction which prevents two atoms at close distance (<10μm) from being simultaneously excited to Rydberg states. Recently, this effect was used to engineer quantum processors based on arrays of interacting Rydberg atoms illuminated by Raman lasers. Motivated by these experiments, we extend the Jaynes–Cummings model to study the interaction between two Rydberg atoms interacting by the Rydberg blockade and a quantized radiation field. We consider both number (Fock) states of the field and single-mode quantum coherent states. In particular, we discuss different types of entanglements between various components of the total system consisting of the two Rydberg-interacting atoms and coherent states of the field, and show that the behavior is significantly different compared to a system with non-interacting atoms corresponding to the two-atom Tavis-Cummings model. Our results are relevant in view of atom-light quantum interfaces as components for future long-distance quantum communication.
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spelling doaj-art-9eff1c2ffb4549bda8c08c421bc918322025-08-20T03:09:32ZengElsevierPhysics Open2666-03262025-08-012410029210.1016/j.physo.2025.100292Rabi oscillations and entanglement between two atoms interacting by the Rydberg blockade studied by the Jaynes–Cummings ModelFrancisco D. Santillan0Andreas Hanke1Department of Physics and Astronomy, University of Texas Rio Grande Valley, 1 W University Blvd, Brownsville, TX 78520, USACorresponding author.; Department of Physics and Astronomy, University of Texas Rio Grande Valley, 1 W University Blvd, Brownsville, TX 78520, USAThe interaction between atoms and a quantized radiation field is fundamentally important in quantum optics and quantum information science. Due to their unusual properties, Rydberg atoms are promising building blocks for two-qubit gates and atom-light quantum interfaces, exploiting the Rydberg blockade interaction which prevents two atoms at close distance (<10μm) from being simultaneously excited to Rydberg states. Recently, this effect was used to engineer quantum processors based on arrays of interacting Rydberg atoms illuminated by Raman lasers. Motivated by these experiments, we extend the Jaynes–Cummings model to study the interaction between two Rydberg atoms interacting by the Rydberg blockade and a quantized radiation field. We consider both number (Fock) states of the field and single-mode quantum coherent states. In particular, we discuss different types of entanglements between various components of the total system consisting of the two Rydberg-interacting atoms and coherent states of the field, and show that the behavior is significantly different compared to a system with non-interacting atoms corresponding to the two-atom Tavis-Cummings model. Our results are relevant in view of atom-light quantum interfaces as components for future long-distance quantum communication.http://www.sciencedirect.com/science/article/pii/S2666032625000420Jaynes–Cummings modelCavity QEDRydberg atomsLight-matter interactions
spellingShingle Francisco D. Santillan
Andreas Hanke
Rabi oscillations and entanglement between two atoms interacting by the Rydberg blockade studied by the Jaynes–Cummings Model
Physics Open
Jaynes–Cummings model
Cavity QED
Rydberg atoms
Light-matter interactions
title Rabi oscillations and entanglement between two atoms interacting by the Rydberg blockade studied by the Jaynes–Cummings Model
title_full Rabi oscillations and entanglement between two atoms interacting by the Rydberg blockade studied by the Jaynes–Cummings Model
title_fullStr Rabi oscillations and entanglement between two atoms interacting by the Rydberg blockade studied by the Jaynes–Cummings Model
title_full_unstemmed Rabi oscillations and entanglement between two atoms interacting by the Rydberg blockade studied by the Jaynes–Cummings Model
title_short Rabi oscillations and entanglement between two atoms interacting by the Rydberg blockade studied by the Jaynes–Cummings Model
title_sort rabi oscillations and entanglement between two atoms interacting by the rydberg blockade studied by the jaynes cummings model
topic Jaynes–Cummings model
Cavity QED
Rydberg atoms
Light-matter interactions
url http://www.sciencedirect.com/science/article/pii/S2666032625000420
work_keys_str_mv AT franciscodsantillan rabioscillationsandentanglementbetweentwoatomsinteractingbytherydbergblockadestudiedbythejaynescummingsmodel
AT andreashanke rabioscillationsandentanglementbetweentwoatomsinteractingbytherydbergblockadestudiedbythejaynescummingsmodel