Experimental apparatus for overlapping a ground-state cooled ion with ultracold atoms

Meir, Ziv; Sikorsky, Tomas; Ben-shlomi, Ruti; Akerman, Nitzan; Pinkas, Meirav; Dallal, Yehonatan; Ozeri, Roee

doi:10.1080/09500340.2017.1397217

Cited by 25 publications

(47 citation statements)

References 84 publications

(116 reference statements)

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“…where Ω m ≡ Ω µ J m ( 4Ωz ωg ) is the spin-flip Rabi frequency, and J m is the m th -order Bessel function of the first kind. A similar effect has been observed from residual magnetic fields generated by the rf trapping potentials [32].…”

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confidence: 74%

Trapped-Ion Spin-Motion Coupling with Microwaves and a Near-Motional Oscillating Magnetic Field Gradient

et al. 2019

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We present a new method of spin-motion coupling for trapped ions using microwaves and a magnetic field gradient oscillating close to the ions' motional frequency. We demonstrate and characterize this coupling experimentally using a single ion in a surface-electrode trap that incorporates current-carrying electrodes to generate the microwave field and the oscillating magnetic field gradient. Using this method, we perform resolved-sideband cooling of a single motional mode to its ground state.

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confidence: 74%

Trapped-Ion Spin-Motion Coupling with Microwaves and a Near-Motional Oscillating Magnetic Field Gradient

et al. 2019

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“…A full review of our experimental system is given elsewhere [33]. Briefly, our system consists of two connected vacuum chambers.…”

Section: Methodsmentioning

confidence: 99%

“…Appendix A. Carrier thermometry Appendix C. EMM estimation The process of detecting and compensating EMM is described in detail in [33] and will discussed here only briefly. The EMM arises as a result of non-vanishing rf field in the minimum of the pseudo-potential, for example, due to a uniform dc field.…”

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confidence: 99%

Effect of ion-trap parameters on energy distributions of ultra-cold atom–ion mixtures

et al. 2020

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Experiments in which ultra-cold neutral atoms and charged ions are overlapped, constitute a new field in atomic and molecular physics, with applications ranging from studying out-of-equilibrium dynamics to simulating quantum many-body systems. The holy grail of ion-neutral systems is reaching the quantum low-energy scattering regime, known as the s-wave scattering. However, in most atom-ion systems, there is a fundamental limit that prohibits reaching this regime. This limit arises from the time-dependent trapping potential of the ion, the Paul trap, which sets a lower collision energy limit which is higher than the s-wave energy. In this work, we studied both theoretically and experimentally, the way the Paul trap parameters affect the energy distribution of an ion that is immersed in a bath of ultra-cold atoms. Heating rates and energy distributions of the ion are calculated for various trap parameters by a molecular dynamics (MD) simulation that takes into account the attractive atom-ion potential. The deviation of the energy distribution from a thermal one is discussed. Using the MD simulation, the heating dynamics for different atom-ion combinations is also investigated. In addition, we performed measurements of the heating rates of a ground-state cooled 88 Sr + ion that is immersed in an ultra-cold cloud of 87 Rb atoms, over a wide range of trap parameters, and compare our results to the MD simulation. Both the simulation and the experiment reveal no significant change in the heating for different parameters of the trap. However, in the experiment a slightly higher global heating is observed, relative to the simulation.

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“…The time-varying frequency shift of a level will give rise to a sideband signal, as is the case for micromotion [7] and the z component of an ac magnetic field [1,8]. The modulation index associated with the sideband is simply determined by the amplitude of the quadrupole shift divided by the trap drive frequency.…”

Section: A Sideband Modulationmentioning

confidence: 99%

Oscillating quadrupole effects in high-precision metrology

et al. 2019

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The influence of oscillating quadrupole fields on atomic energy levels is examined theoretically and general expressions for the quadrupole matrix elements are given. The results are relevant to any ion-based clock in which one of the clock states supports a quadrupole moment. Clock shifts are estimated for 176 Lu + and indicate that coupling to the quadrupole field would not be a limitation to clock accuracy at the 10 −19 level. Nevertheless, a method is suggested that would allow this shift to be calibrated. This method utilises a resonant quadrupole coupling that enables the quadrupole moment of the atom to be measured. A proof-of-principle demonstration is given using 138 Ba + , in which the quadrupole moment of the D 5/2 state is estimated to be Θ = 3.229(89)ea 2 0 .In a recent paper [1], the effects of oscillating magnetic fields in high precision metrology were explored. In that work it was shown that magnetic fields driven by the oscillating potential of a Paul trap could have a significant influence on high precision measurements and optical atomic clocks. Given that the oscillating potential itself provides a strong quadrupole field, it is of interest to consider the effects this might have on energy levels supporting a non-zero quadrupole moment.The interaction of external electric-field gradients with the quadrupole moment of the atom is described by tensor operators of rank two [2]. As for ac magnetic fields, the interaction couples levels primarily within the same fine-structure manifold. However, the rank-2 operators provide a coupling between levels having ∆F = 0, ±1, ±2 and ∆m = 0, ±1, ±2. In this paper, a general expression for the interaction matrix elements is derived and the various level shifts and effects that can occur are considered. These results can be readily applied to any system. For the purposes of illustration, fractional frequency shifts for three clock transitions of 176 Lu + are estimated for experimentally relevant parameter values. I. THEORYThe notations and conventions used here follow that used in [2]. The principal-axis (primed) frame (x , y , z ) is one in which the electric potential in the neighbourhood of the atom has the simple form Φ(x , y , z ) = A(x 2 + y 2 − 2z 2 ) + (x 2 − y 2 ), (1) while a laboratory (unprimed) frame (x, y, z) is one in which the magnetic field is oriented along the z axis. Using this form of the potential, the time-dependent potential associated with an ideal linear Paul trap has A = 0 and that for the ideal quadrupole trap has = 0, with the time-dependence provided by a cos(Ω rf t) factor, where Ω rf is the trap drive frequency.In the principal-axis frame, the spherical components of ∇E (2) are.(2) and the interaction H Q has the simple formStates | JF m defined in the principal-axis frame and states | JF µ defined in the laboratory frame are related bywith the inverse relationwhere ω denotes a set of Euler angles {α, β, γ} taking the principal-axis frame to the laboratory frame defined with the same convention used in [2]. Specifically, start...

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Experimental apparatus for overlapping a ground-state cooled ion with ultracold atoms

Cited by 25 publications

References 84 publications

Trapped-Ion Spin-Motion Coupling with Microwaves and a Near-Motional Oscillating Magnetic Field Gradient

Trapped-Ion Spin-Motion Coupling with Microwaves and a Near-Motional Oscillating Magnetic Field Gradient

Effect of ion-trap parameters on energy distributions of ultra-cold atom–ion mixtures

Oscillating quadrupole effects in high-precision metrology

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