Spectroscopy of Rydberg states in erbium using electromagnetically induced transparency

Trautmann, A.; Mark, Manfred J.; Ilzhöfer, P.; Edri, Hagai; Arrach, Amal El; Maloberti, J. G.; Greene, Chris H.; Robicheaux, F.; Ferlaino, Francesca

doi:10.1103/physrevresearch.3.033165

“…Previous studies and also this review covers homonuclear macrodimers of alkali atoms. Recently, there is increasing interest in Rydberg states of atoms with more than one electron in the outer orbital, such as Sr, , Yb, , or Er . Here, Rydberg transitions depend on the coupled spin state between the Rydberg-excited electron and the electrons in lower orbitals.…”

Section: Theoretical Descriptionmentioning

confidence: 99%

Rydberg Macrodimers: Diatomic Molecules on the Micrometer Scale

Hollerith

¹

,

Zeiher

²

2023

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Controlling molecular binding at the level of single atoms is one of the holy grails of quantum chemistry. Rydberg macrodimersbound states between highly excited Rydberg atomsprovide a novel perspective in this direction. Resulting from binding potentials formed by the strong, long-range interactions of Rydberg states, Rydberg macrodimers feature bond lengths in the micrometer regime, exceeding those of conventional molecules by orders of magnitude. Using single-atom control in quantum gas microscopes, the unique properties of these exotic states can be studied with unprecedented control, including the response to magnetic fields or the polarization of light in their photoassociation. The high accuracy achieved in spectroscopic studies of macrodimers makes them an ideal testbed to benchmark Rydberg interactions, with direct relevance to quantum computing and information protocols where these are employed. This review provides a historic overview and summarizes the recent findings in the field of Rydberg macrodimers. Furthermore, it presents new data on interactions between macrodimers, leading to a phenomenon analogous to Rydberg blockade at the level of molecules, opening the path toward studying many-body systems of ultralong-range Rydberg molecules.

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“…3a, offers a unique opportunity for laser coupling the atomic ground state to the Rydberg manifold H v . In particular, for Lanthanides like Erbium the valence electrons have f -orbital character in their electronic ground state due to a submerged shell structure [64]. The H v manifold of Erbium in turn contains an admixture of Rydberg g-states, which allows direct laser coupling from the ground state |gs to specific states in H v , selected by the laser frequency, see Fig.…”

Section: Vertical Manifold H Vmentioning

confidence: 99%

“…A timely opportunity to implement the results of our work is provided by recent Rydberg experiments with open inner shell atoms such as Er [64]. First, the hydrogen-like high orbital angular momentum states can be directly accessed by laser light from low-lying atomic states due to the admixing of the core configurations with large angular momentum components.…”

Section: Introductionmentioning

confidence: 99%

High-dimensional SO(4)-symmetric Rydberg manifolds for quantum simulation

Kruckenhauser¹,

Bijnen²,

Zache³

et al. 2022

Preprint

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We develop a toolbox for manipulating arrays of Rydberg atoms prepared in high-dimensional hydrogen-like manifolds in the regime of linear Stark and Zeeman effect. We exploit the SO(4) symmetry to characterize the action of static electric and magnetic fields as well as microwave and optical fields on the well-structured manifolds of states with principal quantum number n. This enables us to construct generalized large-spin Heisenberg models for which we develop state-preparation and readout schemes. Due to the available large internal Hilbert space, these models provide a natural framework for the quantum simulation of Quantum Field Theories, which we illustrate for the case of the sine-Gordon and massive Schwinger models. Moreover, these high-dimensional manifolds also offer the opportunity to perform quantum information processing operations for qudit-based quantum computing, which we exemplify with an entangling gate and a state-transfer protocol for the states in the neighborhood of the circular Rydberg level.

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“…A timely opportunity to implement the results of our work is provided by recent Rydberg experiments with open inner shell atoms such as Er [65]. First, the hydrogen-like high orbital angular momentum states can be directly accessed by laser light from low-lying atomic states due to the admixing of the core configurations with large angular momentum components.…”

Section: Introductionmentioning

confidence: 99%

High-dimensional SO(4)-symmetric Rydberg manifolds for quantum simulation

Kruckenhauser

¹

,

Bijnen

²

,

Zache

³

et al. 2022

Quantum Sci. Technol.

12

0

View full text Add to dashboard Cite

We develop a toolbox for manipulating arrays of Rydberg atoms prepared in high-dimensional hydrogen-like manifolds in the regime of linear Stark and Zeeman effect. We exploit the SO(4) symmetry to characterize the action of static electric and magnetic fields as well as microwave and optical fields on the well-structured manifolds of states with principal quantum number n. This enables us to construct generalized large-spin Heisenberg models for which we develop state-preparation and readout schemes. Due to the available large internal Hilbert space, these models provide a natural framework for the quantum simulation of Quantum Field Theories, which we illustrate for the case of the sine-Gordon and massive Schwinger models. Moreover, these high-dimensional manifolds also offer the opportunity to perform quantum information processing operations for qudit-based quantum computing, which we exemplify with an entangling gate and a state-transfer protocol for the states in the neighborhood of the circular Rydberg level.

show abstract

Spectroscopy of Rydberg states in erbium using electromagnetically induced transparency

Cited by 9 publications

References 46 publications

Rydberg Macrodimers: Diatomic Molecules on the Micrometer Scale

Rydberg Macrodimers: Diatomic Molecules on the Micrometer Scale

High-dimensional SO(4)-symmetric Rydberg manifolds for quantum simulation

High-dimensional SO(4)-symmetric Rydberg manifolds for quantum simulation

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