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arXiv:2608.06988

An ionic clock qubit inside a circular Rydberg atom

Fabian Thielemann, Aaron Götzelmann, Marius Thomas, Einius Pultinevicius, Armin Humić, Christian Hölzl, Florian Meinert

physics.atom-phcond-mat.quant-gasquant-phSubmitted Aug 7, 2026• Announced Aug 10, 2026• 0 citations
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Abstract

Neutral atoms trapped in optical tweezers and excited to Rydberg states, together with trapped ions, are among the most advanced platforms for quantum simulation and quantum computing. Current experiments often rely on additional atoms in neighboring traps to encode ancilla qubits for local manipulation and readout. Here, we demonstrate a dual ion-Rydberg system comprising two qubits encoded in two individually controlled electrons of the same alkaline-earth atom. The first, a microwave qubit, is encoded in a pair of circular Rydberg states, while the second, an optical qubit, is encoded on a narrow quadrupole transition of the Rydberg atom's ionic core. We demonstrate coherent control of the optical qubit and achieve coherence times of several hundred microseconds under dynamical decoupling. Furthermore, we realize coherent coupling between the two electrons via electrostatic quadrupole interactions over the large separation between the Rydberg electron and the ionic core, and map out its angular tunability. Finally, we demonstrate a two-qubit operation, reminiscent of a Mølmer-Sørensen gate, that evolves through an entangled state of the two qubits driven by the quadrupole coupling. Our work opens a pathway to exploit a pair of individually controlled electronic qubits with tunable coupling for quantum simulation and quantum metrology.

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Alkaline-earth Rydberg atoms are very promising tools for quantum technologies. They benefit from the remarkable properties of Rydberg atoms and, notably, a huge coupling to external fields and to other Rydberg atoms while the ionic core retains an optically active electron. However, low angular-momentum Rydberg states suffer almost immediate autoionization when the core is excited. Classically, the two electrons “collide” and one is expelled. However, this is not the case for circular states. Here, we demonstrate that Strontium circular Rydberg atoms with a core excited in a 4d metastable level are stable for more than a few milliseconds. We verify this property while the ionic core is either in a 4d, j = 3/2 state or a 4d, j = 5/2 state. Furthermore, we measure the energy difference between the Zeeman sublevels of metastable 4d states of the ionic-core electron, resulting from the electric-quadrupole coupling between the two valence electrons, with one prepared in a Rydberg state. We show that the energy difference is a function of the principal and magnetic quantum numbers of the Rydberg electron. We show that this coupling between the two valence electrons leads to control the state of one depending on the state of the other. This opens the way to detect non-destructively the state of the Rydberg atom. Using the fluorescence emitted by the core electron allows us to envision a selective, optical detection of the circular states with remarkable sensitivity. The results presented in this work are important in the context of the realization of a Rydberg quantum simulator, exploiting the circular states of Strontium to build the qubits.

•Nov 15, 2021•0 citations
Neutral atoms trapped in optical tweezers and excited to Rydberg states, together with trapped ions, are among the most advanced platforms for quantum simulation and quantum computing. Current experiments often rely on additional atoms in neighboring traps to encode ancilla qubits for local manipulation and readout. Here, we demonstrate a dual ion-Rydberg system comprising two qubits encoded in two individually controlled electrons of the same alkaline-earth atom. The first, a microwave qubit, is encoded in a pair of circular Rydberg states, while the second, an optical qubit, is encoded on a narrow quadrupole transition of the Rydberg atom's ionic core. We demonstrate coherent control of the optical qubit and achieve coherence times of several hundred microseconds under dynamical decoupling. Furthermore, we realize coherent coupling between the two electrons via electrostatic quadrupole interactions over the large separation between the Rydberg electron and the ionic core, and map out its angular tunability. Finally, we demonstrate a two-qubit operation, reminiscent of a Mølmer-Sørensen gate, that evolves through an entangled state of the two qubits driven by the quadrupole coupling. Our work opens a pathway to exploit a pair of individually controlled electronic qubits with tunable coupling for quantum simulation and quantum metrology.
Divalent atoms provide excellent means for advancing control in Rydberg atom-based quantum simulation and computing due to the second optically active valence electron available. Particularly promising in this context are circular Rydberg atoms, for which long-lived ionic core excitations can be exploited without suffering from detrimental autoionization. Here, we report the implementation of electric quadrupole coupling between the metastable 4D_{3/2} level and a very high-n (n=79) circular Rydberg qubit, realized in doubly excited ^{88}Sr atoms prepared from an optical tweezer array. We measure the kHz-scale differential level shift on the circular Rydberg qubit via beat-node Ramsey interferometry comprising spin echo. Observing this coupling requires coherent interrogation of the Rydberg states for more than 100 μs, which is assisted by tweezer trapping and circular state lifetime enhancement in a black-body radiation suppressing capacitor. Further, we find no noticeable loss of qubit coherence under continuous photon scattering on the ion core, paving the way for laser cooling and imaging of Rydberg atoms. Our results demonstrate access to weak electron-electron interactions in Rydberg atoms and expand the quantum simulation toolbox for optical control of highly excited circular state qubits via ionic core manipulation.
Coherence time and gate fidelities in Rydberg atom quantum simulators and computers are fundamentally limited by the Rydberg state lifetime. Circular Rydberg states are highly promising candidates to overcome this limitation by orders of magnitude, as they can be effectively protected from decay due to their maximum angular momentum. We report the first realization of alkaline-earth circular Rydberg atoms trapped in optical tweezers, which provide unique and novel control possibilities due to the optically active ionic core. Specifically, we demonstrate creation of very high- n ( n = 79 ) circular states of Sr 88 . We measure lifetimes as long as 2.55 ms at room temperature, which are achieved via cavity-assisted suppression of black-body radiation. We show coherent control of a microwave qubit encoded in circular states of nearby manifolds, and characterize the qubit coherence time via Ramsey and spin-echo spectroscopy. Finally, circular-state tweezer trapping exploiting the Sr + core polarizability is quantified via measurements of the trap-induced light shift on the qubit. Our work opens routes for quantum simulations with circular Rydberg states of divalent atoms, exploiting the emergent toolbox associated with the optically active core ion. Published by the American Physical Society 2024
We report on the first realization of a novel neutral atom qubit encoded in the spin-orbit coupled metastable states ^{3}P_{0} and ^{3}P_{2} of a single ^{88}Sr atom trapped in an optical tweezer. Raman coupling of the qubit states promises rapid single-qubit rotations on par with the fast Rydberg-mediated two-body gates. We demonstrate preparation, readout, and coherent control of the qubit. In addition to driving Rabi oscillations bridging an energy gap of more than 17 THz using a pair of phase-locked clock lasers, we also carry out Ramsey spectroscopy to extract the transverse qubit coherence time T_{2}. When the tweezer is tuned into magic trapping conditions, which is achieved in our setup by tuning the tensor polarizability of the ^{3}P_{2} state via an external control magnetic field, we measure T_{2}=1.2 ms. A microscopic quantum mechanical model is used to simulate our experiments including dominant noise sources. We identify the main constraints limiting the observed coherence time and project improvements to our system in the immediate future. Our Letter opens the door for a so-far-unexplored qubit encoding concept for neutral atom-based quantum computing.
We theoretically demonstrate the universal two-qubit CNOT gate between an ionic and an atomic qubit relying on Rydberg excitation of the atom and the resulting phonon blockade in the motional states of the harmonically trapped ion. The phonon blockade arises due to strong ion-atom interaction when the atom is excited to a Rydberg state. For realistic parameters, the gate fidelity is found to be about 90%90\%90%. In a previous paper [S. Mudli {\it et al.} Phys. Rev. A 110, 062618 (2024)], it was shown that a trapped ion can mediate interaction between two largely separated Rydberg atoms, and this mediated interaction can be leveraged to perform a universal two-qubit gate operation between neutral atom qubits in optical tweezers. These demonstrations suggest that an ion-atom hybrid system can serve as a resourceful platform or module for quantum computing and quantum networking as it can utilize the best features of charged as well as neutral atom qubits. Finally, we discuss how to achieve higher gate fidelity by extending our proposed protocol and operating in a different parameter regime.
In recent years, advances in optical tweezers arrays have enabled the trapping and control of individual atoms. This makes it possible to simulate condensed matter systems by arranging atoms in an array that mimics the crystalline structure of real materials. This approach, known as quantum simulation, was first envisioned by R. Feynman and is now being implemented by several research groups worldwide. In order to induce interactions between atoms, they are prepared in highly excited atomic states, known as Rydberg states. In particular, circular Rydberg states, which possess maximal angular momentum, exhibit lifetimes of several milliseconds, much longer than those of other Rydberg states. This property makes them particularly interesting for the development of new quantum technologies. In this work, we present the first building blocks of a quantum simulator based on circular Rydberg states of strontium atoms. This includes the development of a new cryogenic apparatus in which individual strontium atoms are trapped in optical tweezers. Using an alkaline-earth element allows us to exploit its two valence electrons for different tasks. One electron is excited to the circular state with principal quantum number n = 52, while the ionic core behaves as a Sr+ ion, which can be directly trapped by the tweezers. Moreover, we observe coherent oscillations between singlet and triplet spin states, due to the spin-orbit coupling of the electron in the circular state. These oscillations allow us to measure, with high precision, QED corrections to the Landé g5S1/2 factor of the ground state of Sr+.
Alkaline-earth Rydberg atoms are very promising tools for quantum technologies. They benefit from the remarkable properties of Rydberg atoms and, notably, a huge coupling to external fields and to other Rydberg atoms while the ionic core retains an optically active electron. However, low angular-momentum Rydberg states suffer almost immediate autoionization when the core is excited. Classically, the two electrons “collide” and one is expelled. However, this is not the case for circular states. Here, we demonstrate that Strontium circular Rydberg atoms with a core excited in a 4d metastable level are stable for more than a few milliseconds. We verify this property while the ionic core is either in a 4d, j = 3/2 state or a 4d, j = 5/2 state. Furthermore, we measure the energy difference between the Zeeman sublevels of metastable 4d states of the ionic-core electron, resulting from the electric-quadrupole coupling between the two valence electrons, with one prepared in a Rydberg state. We show that the energy difference is a function of the principal and magnetic quantum numbers of the Rydberg electron. We show that this coupling between the two valence electrons leads to control the state of one depending on the state of the other. This opens the way to detect non-destructively the state of the Rydberg atom. Using the fluorescence emitted by the core electron allows us to envision a selective, optical detection of the circular states with remarkable sensitivity. The results presented in this work are important in the context of the realization of a Rydberg quantum simulator, exploiting the circular states of Strontium to build the qubits.