Efficient Raman sideband cooling of trapped ions to their motional ground state

Che, Hao; Deng, Ke; Xu, Zhilin; Yuan, Wenhao; Zhang, Jie; Lu, Zehuang

doi:10.1103/physreva.96.013417

Cited by 28 publications

(14 citation statements)

References 30 publications

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“…[7] reported temperatures in the nanometer range (for an effective ring radius in the 6 to 8 micrometer range). It is expected that cooling techniques and procedures will be further optimized and will be successful in the near future in producing near-ground-state temperatures, as is exemplified by a very recent publication [77].…”

Section: Discussionmentioning

confidence: 99%

Trial wave functions for ring-trapped ions and neutral atoms: Microscopic description of the quantum space-time crystal

Yannouleas

Landman

2017

Phys. Rev. A

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A constructive theoretical platform for the description of quantum space-time crystals uncovers for N interacting and ring-confined rotating particles the existence of low-lying states with proper space-time crystal behavior. The construction of the corresponding many-body trial wave functions proceeds first via symmetry breaking at the mean-field level followed by symmetry restoration using projection techniques. The ensuing correlated many-body wave functions are stationary states and preserve the rotational symmetries, and at the same time they reflect the point-group symmetries of the mean-field crystals. This behavior results in the emergence of sequences of select magic angular momenta Lm. For angular-momenta away from the magic values, the trial functions vanish. Symmetry breaking beyond mean field can be induced by superpositions of such good-Lm many-body stationary states. We show that superposing a pair of adjacent magic angular momenta states leads to formation of special broken-symmetry states exhibiting quantum space-time-crystal behavior. In particular, the corresponding particle densities rotate around the ring, showing undamped and nondispersed periodic crystalline evolution in both space and time. The experimental synthesis of such quantum space-time-crystal wave packets is predicted to be favored in the vicinity of ground-state energy crossings of the Aharonov-Bohm-type spectra accessed via an externally applied magnetic field. These results are illustrated here for Coulomb-repelling fermionic ions and for a lump of contact-interaction attracting bosons.

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Section: Discussionmentioning

confidence: 99%

Trial wave functions for ring-trapped ions and neutral atoms: Microscopic description of the quantum space-time crystal

Yannouleas

Landman

2017

Phys. Rev. A

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“…We then repeat steps (a)-(d) for the second WCR mode, and this whole sequence several times until (e) a temperature close to the motional ground state is reached. In practice, we cycle through steps (c) and (d) several times to neutralize the recoil of the ion crystal due to spontaneous photon scattering [8,28,32,33], and a short optical pumping step for the HCI is implemented before each cycle to ensure that the correct electronic state has been prepared beforehand.…”

Section: Experimental Sequencementioning

confidence: 99%

Algorithmic Ground-state Cooling of Weakly-Coupled Oscillators using Quantum Logic

King,

Spieß,

Micke

et al. 2021

Preprint

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Most ions lack the fast, cycling transitions that are necessary for direct laser cooling. In most cases, they can still be cooled sympathetically through their Coulomb interaction with a second, coolable ion species confined in the same potential. If the charge-to-mass ratios of the two ion types are too mismatched, the cooling of certain motional degrees of freedom becomes difficult. This limits both the achievable fidelity of quantum gates and the spectroscopic accuracy. Here we introduce a novel algorithmic cooling protocol for transferring phonons from poorly-to efficiently-cooled modes. We demonstrate it experimentally by simultaneously bringing two motional modes of a Be + -Ar 13+ mixed Coulomb crystal close to their zero-point energies, despite the weak coupling between the ions. We reach the lowest temperature reported for a highly charged ion, with a residual temperature of only T 200 µK in each of the two modes, corresponding to a residual mean motional phonon number of n 0.4. Combined with the lowest observed electric field noise in a radiofrequency ion trap, these values enable an optical clock based on a highly charged ion with fractional systematic uncertainty below the 10 −18 level. Our scheme is also applicable to (anti-)protons, molecular ions, macroscopic charged particles, and other highly charged ion species, enabling reliable preparation of their motional quantum ground states in traps.

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“…However, we can exploit this large value for Raman excitation by utilising the high strength of higher-order red sidebands. Several phonons can be removed at once to counteract the effect of recoil heating [58,63,64]. The cooling process is split into two stages.…”

Section: The Ion Trapmentioning

confidence: 99%

A cryogenic radio-frequency ion trap for quantum logic spectroscopy of highly charged ions

Leopold

King

Micke

et al. 2019

Review of Scientific Instruments

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A cryogenic radio-frequency ion trap system designed for quantum logic spectroscopy of highly charged ions is presented. It includes a segmented linear Paul trap, an in-vacuum imaging lens and a helical resonator. We demonstrate ground state cooling of all three modes of motion of a single 9 Be + ion and determine their heating rates as well as excess axial micromotion. The trap shows one of the lowest levels of electric field noise published to date. We investigate the magnetic-field noise suppression in cryogenic shields made from segmented copper, the resulting magnetic field stability at the ion position and the resulting coherence time. Using this trap in conjunction with an electron beam ion trap and a deceleration beamline, we have been able to trap single highly charged Ar 13+ (Ar XIV) ions concurrently with single Be + ions, a key prerequisite for the first quantum logic spectroscopy of a highly charged ion.

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Efficient Raman sideband cooling of trapped ions to their motional ground state

Cited by 28 publications

References 30 publications

Trial wave functions for ring-trapped ions and neutral atoms: Microscopic description of the quantum space-time crystal

Trial wave functions for ring-trapped ions and neutral atoms: Microscopic description of the quantum space-time crystal

Algorithmic Ground-state Cooling of Weakly-Coupled Oscillators using Quantum Logic

A cryogenic radio-frequency ion trap for quantum logic spectroscopy of highly charged ions

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