Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

arXiv:1106.2463 · Physical Review A

Magic-wavelength optical traps for Rydberg atoms

S. Zhang, F. Robicheaux, Mark E. Saffman

Published Oct 6, 2011• 111 citations
arXivHTMLPDF

Abstract

We propose blue-detuned optical traps that are suitable for trapping of both ground-state and Rydberg excited atoms. The addition of a background compensation field or a suitable choice of the trap geometry provides a magic trapping condition for ground-state and Rydberg atoms at the trap center. Deviations from the magic condition at finite temperature are calculated. Designs that achieve less than 200-kHz differential trap shift between Cs ground states and $125s$ Rydberg states for 10 $\ensuremath{\mu}\mathrm{K}$ Cs atoms are presented. Consideration of the trapping potential and photoionization rates suggests that these traps will be useful for quantum-information experiments with atomic qubits.

DOI
10.1103/physreva.84.043408

Related papers

Quasi-Magic optical traps for Rydberg atoms

S. Zhang, F. Robicheaux, Mark E. Saffman

We propose blue-detuned optical traps that are suitable for trapping of both ground state and Rydberg excited atoms. Addition of a background compensation field or suitable choice of the trap geometry provides a magic trapping condition for ground and Rydberg atoms at the trap center. Deviations from the magic condition at finite temperature are calculated. Designs that achieve less than 200 kHz differential trap shift between Cs ground and 125s Rydberg states for 10 {\mu}K Cs atoms are presented. Consideration of the trapping potential and photoionization rates

•Jun 13, 2011•0 citations

Towards implementation of a magic optical-dipole trap for confining ground-state and Rydberg-state cesium cold atoms

Jiandong Bai, Shuo Liu, Jun He +1 more

Abstract Long ground-Rydberg coherence lifetime is interesting for implementing high-fidelity quantum logic gates, many-body physics, and other quantum information protocols. However, the potential formed by a conventional far-off-resonance red-detuned optical-dipole trap (ODT) is usually repulsive for Rydberg atoms, which will result in fast atom loss and low repetition rate of the experimental sequence. These issues can be addressed by a magic ODT. We performed the calculation of ODT’s magic detuning for confinement of ground-state and Rydberg-state cesium atoms with the same potential well. We used a sum-over-states method to calculate the dynamic polarizabilities of 6S 1/2 ground state and highly-excited ( n S 1/2 and n P 3/2 ) Rydberg state of cesium atoms, and identify corresponding magic detuning for optical wavelengths in the range of 850–1950 nm. We estimated the trapping lifetime of cesium Rydberg atoms confined in the magic ODT by including different dissipative mechanisms. Furthermore, we have experimentally realized an 1879.43 nm single-frequency laser system with a watt-level output power for setting up the magic ODT for 6S 1/2 ground-state and 84P 3/2 Rydberg-state cesium cold atoms.

arXiv:2001.05698•Journal of Physics B Atomic Molecular and Optical Physics•May 11, 2020•10 citations

Analysis of Dissipation Mechanisms for Cesium Rydberg Atoms in Magic-Wavelength Optical Trap

Shaofeng Fan, Yang Liu, Wen-Yuan Liu +3 more

A magic optical dipole trap (ODT) can confine atoms in the ground state and a highly excited state with the same light shifts, resulting in a long-range coherent lifetime between them, which plays an important role in high-fidelity quantum logic gates, multi-body physics and other quantum information. Here, we use a sum-over-states model to calculate the dynamic polarizabilities of the 6S1/2 ground state and 46S1/2 Rydberg state of Cs atoms and identify corresponding magic wavelengths and magic detunings for trapping the two states in the range of 900–1950 nm. Then, we analyze the robustness of the magic condition and the feasibility of the experimental operation. Furthermore, we estimate the trapping lifetime of Cs Rydberg atoms by considering different dissipation mechanisms, such as photon scattering and photoionization in the magic ODT. The photoexcitation and photoionization of Cs atoms under the action of three-step laser pulses are calculated by the rate equation. The presented results for magic-wavelength ODTs are of great significance for quantum information and quantum computing based on Rydberg atoms.

Photonics•Feb 8, 2025•0 citations

Magic running- and standing-wave optical traps for Rydberg atoms

Lukas Ahlheit, Chris Nill, Daniil Svirskiy +6 more

The authors present an experimental and theoretical study of how the geometry of an optical trap influences the magic wavelength for a collective Rydberg excitation, and find the magic trap wavelength where the coherence time in photon storage experiments is maximized. This magic wavelength depends not only on the Rydberg state, but also on the trap geometry due to the wave function of the almost-free Rydberg electron exploring the potential landscape surrounding the core. Hence, it is necessary to take the size of both Rydberg atom and trapping beams into account when trapping Rydberg atoms.

arXiv:2410.20901•Physical Review A•Jan 24, 2025•4 citations

Magic wavelengths for the 5 s – 18 s transition in rubidium

Elizabeth A. Goldschmidt, D. G. Norris, Silvio Koller +5 more

Magic wavelengths, for which there is no differential ac Stark shift for the ground and excited state of the atom, are calculated and experimentally verified for such highly excited states as rubidium 18s, indicating the feasibility of magic trapping of Rydberg atoms for applications in, e.g., Rydberg-based quantum information processing.

arXiv:1503.02881•Physical Review A•Mar 30, 2015•27 citations

Doubly Magic Optical Trapping for Cs Atom Hyperfine Clock Transitions

Alex Carr, Mark E. Saffman

We analyze doubly magic trapping of Cs hyperfine transitions including previously neglected contributions from the ground state hyperpolarizability and the interaction of the laser light and a static magnetic field. Extensive numerical searches do not reveal any doubly magic trapping conditions for any pair of hyperfine states. However, including the hyperpolarizability reveals light intensity insensitive traps for a wide range of wavelengths at specific intensities. We then investigate the use of bichromatic trapping light fields. Deploying a bichromatic scheme, we demonstrate doubly magic red and blue detuned traps for pairs of states separated by one or two single photon transitions.

arXiv:1406.3560•Physical Review Letters•Oct 7, 2016•31 citations
We propose blue-detuned optical traps that are suitable for trapping of both ground-state and Rydberg excited atoms. The addition of a background compensation field or a suitable choice of the trap geometry provides a magic trapping condition for ground-state and Rydberg atoms at the trap center. Deviations from the magic condition at finite temperature are calculated. Designs that achieve less than 200-kHz differential trap shift between Cs ground states and 125s125s125s Rydberg states for 10 \ensuremathμK\ensuremath{\mu}\mathrm{K}\ensuremathμK Cs atoms are presented. Consideration of the trapping potential and photoionization rates suggests that these traps will be useful for quantum-information experiments with atomic qubits.
We propose blue-detuned optical traps that are suitable for trapping of both ground state and Rydberg excited atoms. Addition of a background compensation field or suitable choice of the trap geometry provides a magic trapping condition for ground and Rydberg atoms at the trap center. Deviations from the magic condition at finite temperature are calculated. Designs that achieve less than 200 kHz differential trap shift between Cs ground and 125s Rydberg states for 10 {\mu}K Cs atoms are presented. Consideration of the trapping potential and photoionization rates
Abstract Long ground-Rydberg coherence lifetime is interesting for implementing high-fidelity quantum logic gates, many-body physics, and other quantum information protocols. However, the potential formed by a conventional far-off-resonance red-detuned optical-dipole trap (ODT) is usually repulsive for Rydberg atoms, which will result in fast atom loss and low repetition rate of the experimental sequence. These issues can be addressed by a magic ODT. We performed the calculation of ODT’s magic detuning for confinement of ground-state and Rydberg-state cesium atoms with the same potential well. We used a sum-over-states method to calculate the dynamic polarizabilities of 6S 1/2 ground state and highly-excited ( n S 1/2 and n P 3/2 ) Rydberg state of cesium atoms, and identify corresponding magic detuning for optical wavelengths in the range of 850–1950 nm. We estimated the trapping lifetime of cesium Rydberg atoms confined in the magic ODT by including different dissipative mechanisms. Furthermore, we have experimentally realized an 1879.43 nm single-frequency laser system with a watt-level output power for setting up the magic ODT for 6S 1/2 ground-state and 84P 3/2 Rydberg-state cesium cold atoms.
A magic optical dipole trap (ODT) can confine atoms in the ground state and a highly excited state with the same light shifts, resulting in a long-range coherent lifetime between them, which plays an important role in high-fidelity quantum logic gates, multi-body physics and other quantum information. Here, we use a sum-over-states model to calculate the dynamic polarizabilities of the 6S1/2 ground state and 46S1/2 Rydberg state of Cs atoms and identify corresponding magic wavelengths and magic detunings for trapping the two states in the range of 900–1950 nm. Then, we analyze the robustness of the magic condition and the feasibility of the experimental operation. Furthermore, we estimate the trapping lifetime of Cs Rydberg atoms by considering different dissipation mechanisms, such as photon scattering and photoionization in the magic ODT. The photoexcitation and photoionization of Cs atoms under the action of three-step laser pulses are calculated by the rate equation. The presented results for magic-wavelength ODTs are of great significance for quantum information and quantum computing based on Rydberg atoms.
The authors present an experimental and theoretical study of how the geometry of an optical trap influences the magic wavelength for a collective Rydberg excitation, and find the magic trap wavelength where the coherence time in photon storage experiments is maximized. This magic wavelength depends not only on the Rydberg state, but also on the trap geometry due to the wave function of the almost-free Rydberg electron exploring the potential landscape surrounding the core. Hence, it is necessary to take the size of both Rydberg atom and trapping beams into account when trapping Rydberg atoms.
We analyze doubly magic trapping of Cs hyperfine transitions including previously neglected contributions from the ground state hyperpolarizability and the interaction of the laser light and a static magnetic field. Extensive numerical searches do not reveal any doubly magic trapping conditions for any pair of hyperfine states. However, including the hyperpolarizability reveals light intensity insensitive traps for a wide range of wavelengths at specific intensities. We then investigate the use of bichromatic trapping light fields. Deploying a bichromatic scheme, we demonstrate doubly magic red and blue detuned traps for pairs of states separated by one or two single photon transitions.