Direct control of high magnetic fields for cold atom experiments based on NV centers

Hesse, Alexander; Köster, Kerim; Steiner, Jakob; Michl, Julia; Vorobyov, Vadim; Dasari, Durga Bhaktavatsala Rao; Wrachtrup, Jörg; Jendrzejewski, Fred

doi:10.1088/1367-2630/abe1e5

“…Further sources of decoherence can for instance originate from fluctuations in electric and magnetic fields, which directly affect the energy levels ω a(b) , and therefore enter as dephasing. Experimentally demonstrated electric field stabilizations on the level of tens of µV /cm [100] and magnetic field stabilization of tens of µG [101] should however be sufficient to render these decoherence effects negligible. Another source of decoherence for tweezer trapped Rydberg atoms is motional dephasing, due to the trapping potential being dependent on the internal state.…”

Section: Nonhydrogenic Atoms and The Electron Spinmentioning

confidence: 98%

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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“…Further sources of decoherence can for instance originate from fluctuations in electric and magnetic fields, which directly affect the energy levels ω a(b) , and therefore enter as dephasing. Experimentally demonstrated electric field stabilizations on the level of tens of µV cm −1 [100] and magnetic field stabilization of tens of µG [101] should however be sufficient to render these decoherence effects negligible. Another source of decoherence for tweezer trapped Rydberg atoms is motional dephasing, due to the trapping potential being dependent on the internal state.…”

Section: Nonhydrogenic Atoms and The Electron Spinmentioning

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.

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“…which completes the universal gate set in the multi-spin system [60,61]. The quality of the local spin addressing and the magnetic field stability [62] will determine the fidelity of the gates.…”

Section: Unitary Operations On Two Spinsmentioning

confidence: 99%

Universal quantum computation and quantum error correction with ultracold atomic mixtures

Kasper

¹

,

González-Cuadra

²

,

Hegde

³

et al. 2021

Quantum Sci. Technol.

Self Cite

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Quantum information platforms made great progress in the control of many-body entanglement and the implementation of quantum error correction, but it remains a challenge to realize both in the same setup. Here, we propose a mixture of two ultracold atomic species as a platform for universal quantum computation with long-range entangling gates, while providing a natural candidate for quantum error-correction. In this proposed setup, one atomic species realizes localized collective spins of tunable length, which form the fundamental unit of information. The second atomic species yields phononic excitations, which are used to entangle collective spins. Finally, we discuss a finite-dimensional version of the Gottesman–Kitaev–Preskill code to protect quantum information encoded in the collective spins, opening up the possibility to universal fault-tolerant quantum computation in ultracold atom systems.

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Direct control of high magnetic fields for cold atom experiments based on NV centers

Cited by 5 publications

References 44 publications

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

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

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

Universal quantum computation and quantum error correction with ultracold atomic mixtures

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