Dynamics of an unbalanced two-ion crystal in a Penning trap for application in optical mass spectrometry

Gutiérrez, Manuel; Berrocal, Joaquín; Domínguez, Felipe Ordoño; Arrazola, Íñigo; Block, M.; Solano, E.; Rodriguez, D. Rodriguez

doi:10.1103/physreva.100.063415

Cited by 16 publications

(23 citation statements)

References 42 publications

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Section: Mainmentioning

confidence: 99%

“…Another technique, proposed over 30 years ago, extended laser cooling to exotic systems by coupling via induced image currents in trap electrodes to ions with a well-suited cooling transition 9 . Similarly, coupling laser addressable ions to systems with no optical structure is sought after in precision spectroscopy 23,24 , mass measurements 25 , quantum information 10 and quantum engineering 5 . We demonstrate sympathetic cooling of a single proton, extending the image-current coupling technique with a superconducting LC circuit that resonantly enhances energy exchange between the proton and laser-cooled ions.…”

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confidence: 99%

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Sympathetic cooling of a trapped proton mediated by an LC circuit

Bohman

Grunhofer

Smorra

et al. 2021

Nature

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Efficient cooling of trapped charged particles is essential to many fundamental physics experiments1,2, to high-precision metrology3,4 and to quantum technology5,6. Until now, sympathetic cooling has required close-range Coulomb interactions7,8, but there has been a sustained desire to bring laser-cooling techniques to particles in macroscopically separated traps5,9,10, extending quantum control techniques to previously inaccessible particles such as highly charged ions, molecular ions and antimatter. Here we demonstrate sympathetic cooling of a single proton using laser-cooled Be+ ions in spatially separated Penning traps. The traps are connected by a superconducting LC circuit that enables energy exchange over a distance of 9 cm. We also demonstrate the cooling of a resonant mode of a macroscopic LC circuit with laser-cooled ions and sympathetic cooling of an individually trapped proton, reaching temperatures far below the environmental temperature. Notably, as this technique uses only image–current interactions, it can be easily applied to an experiment with antiprotons1, facilitating improved precision in matter–antimatter comparisons11 and dark matter searches12,13.

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Section: Mainmentioning

confidence: 99%

mentioning

confidence: 99%

Sympathetic cooling of a trapped proton mediated by an LC circuit

Bohman

Grunhofer

Smorra

et al. 2021

Nature

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“…The protocol works best with small values of the Lamb-Dicke parameter in order to avoid deleterious high-order effects, and small Rabi frequencies to suppress carrier effects. Such a protocol might be applied in a Penning trap to measure the motional frequencies of a single ion and even extend it to the case of an unbalanced two-ion crystal where the motional modes of the crystal has to be probed [32,33].…”

Section: Discussionmentioning

confidence: 99%

Production of Fock Mixtures in Trapped Ions for Motional Metrology

Delakouras¹,

Rodriguez²,

Cerrillo³

2022

Preprint

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We present a protocol to produce a class of non-thermal Fock state mixtures in trapped ions. This class of states features a clear metrological advantage with respect to the ground state, thus overcoming the standard quantum limit without the need for full sideband cooling and Fock-state preparation on a narrow electronic transition. The protocol consists in the cyclic repetition of red-sideband, measurement and preparation laser pulses. By means of the Kraus map representation of the protocol, it is possible to relate the length of the red sideband pulses to the specific class of states that can be generated. With the help of numerical simulations, we analyze the parametric regime where these states can be reliably reproduced.

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“…In the ω 2 mode the distance between the ions fluctuates about a fixed centre of mass (CM), case when both the electric current and signal are zero. Optical detection is possible in the ω 2 mode [39] even if electronic detection is not feasible. As a consequence, for collective modes of motion only a peak of the mass is detected that corresponds to the ion average mass.…”

Section: Solutions Of Coupled System Of Equationsmentioning

confidence: 99%

Investigations on Dynamical Stability in 3D Quadrupole Ion Traps

Mihalcea

Lynch

2021

Applied Sciences

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We firstly discuss classical stability for a dynamical system of two ions levitated in a 3D Radio-Frequency (RF) trap, assimilated with two coupled oscillators. We obtain the solutions of the coupled system of equations that characterizes the associated dynamics. In addition, we supply the modes of oscillation and demonstrate the weak coupling condition is inappropriate in practice, while for collective modes of motion (and strong coupling) only a peak of the mass can be detected. Phase portraits and power spectra are employed to illustrate how the trajectory executes quasiperiodic motion on the surface of torus, namely a Kolmogorov–Arnold–Moser (KAM) torus. In an attempt to better describe dynamical stability of the system, we introduce a model that characterizes dynamical stability and the critical points based on the Hessian matrix approach. The model is then applied to investigate quantum dynamics for many-body systems consisting of identical ions, levitated in 2D and 3D ion traps. Finally, the same model is applied to the case of a combined 3D Quadrupole Ion Trap (QIT) with axial symmetry, for which we obtain the associated Hamilton function. The ion distribution can be described by means of numerical modeling, based on the Hamilton function we assign to the system. The approach we introduce is effective to infer the parameters of distinct types of traps by applying a unitary and coherent method, and especially for identifying equilibrium configurations, of large interest for ion crystals or quantum logic.

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Dynamics of an unbalanced two-ion crystal in a Penning trap for application in optical mass spectrometry

Cited by 16 publications

References 42 publications

Sympathetic cooling of a trapped proton mediated by an LC circuit

Sympathetic cooling of a trapped proton mediated by an LC circuit

Production of Fock Mixtures in Trapped Ions for Motional Metrology

Investigations on Dynamical Stability in 3D Quadrupole Ion Traps

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