Ion dynamics in a linear radio-frequency trap with a single cooling laser

Marciante, Mathieu; Champenois, Caroline; Calisti, A.; Pedregosa-Gutierrez, Jofre; Knoop, Martina

doi:10.1103/physreva.82.033406

Cited by 26 publications

(37 citation statements)

References 41 publications

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“…(17) identical to what is encountered in the moving full potential (see Fig 5), we observe exactly the same evolution of the internal energy, all along the duration of the gate. We can conclude that it is the deformation of the harmonic part of the axial potential that is responsible for the internal heating of the cloud along its transport.…”

Section: Doppler Cooling (See II B)supporting

confidence: 81%

“…Finally, the thermal bath is turned off and the ions are submitted to laser Doppler cooling for an evolution time of 5 ms. In our case, the laser beam propagates along the trap symmetry axis, which is sufficient to cool the ion cloud in the three degrees of motion because of its 3D morphology [17]. We treat the atomic system as a two-level atom and chose laser interaction parameters in the slightly saturated regime (s=1.5 for a detuning corresponding to 2.5 times the natural linewidth) which allows the velocity distribution to reach an equilibrium corresponding to a temperature T ≈ 4 mK.…”

Section: B Ion Cloud Transportmentioning

confidence: 99%

“…The code realistically describes the ions in their environment, by taking into account all relevant forces (trapping potential, Coulomb interaction) as well as laser-cooling as a stochastic process. The mechanical effect of light is implemented by momentum kicks induced by photon absorption and emission, like described in [16,17]. Trap potentials can be described either analytically or by directly making use of the SIMION potential grid reproducing the experimental geometry of the electrodes.…”

Section: Introductionmentioning

confidence: 99%

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Ion transport in macroscopic RF linear traps

Pedregosa-Gutierrez

Champenois

Kamsap

et al. 2015

International Journal of Mass Spectrometry

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Efficient transport of cold atoms or ions is a subject of increasing concern in many experimental applications reaching from quantum information processing to frequency metrology. For the scalable quantum computer architectures based on the shuttling of individual ions, different transport schemes have been developed, which allow to move single atoms minimizing their energy gain. In this article we discuss the experimental implementation of the transport of a three-dimensional ion cloud in a macroscopic linear radiofrequency (RF) trap. The present work is based on numerical simulations done by molecular dynamics taking into account a realistic experimental environment.The deformation of the trapping potential and the spatial extension of the cloud during transport appears to be the major source of the ion energy gain. The efficiency of transport in terms of transfer probability and ion number is also discussed.

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Section: Doppler Cooling (See II B)supporting

confidence: 81%

Section: B Ion Cloud Transportmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Ion transport in macroscopic RF linear traps

Pedregosa-Gutierrez

Champenois

Kamsap

et al. 2015

International Journal of Mass Spectrometry

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“…In the pseudopotential approximation case, the points of minimum of the dequantified Hamilton function define the equilibrium configurations for trapped ions (Coulomb crystals), of interest for implementing and scaling quantum logic (see [36]). The equilibrium configurations are found by performing numerical simulations, which is verified for example in case of a 2D octupole Paul trap, where axially symmetric structures of Coulomb crystals and phase transitions have been reported [37,38].…”

Section: Hamilton Function For An Anharmonic Combined Trap Equationsmentioning

confidence: 99%

Squeezed coherent states of motion for ions confined in quadrupole and octupole ion traps

Mihalcea

2018

Annals of Physics

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Quasiclassical dynamics of trapped ions is characterized by applying the time dependent variational principle (TDVP) on coherent state orbits, in case of quadrupole and octupole combined (Paul and Penning) and radiofrequency (RF) traps. A dequantization algorithm is proposed, by which the classical Hamilton (energy) function associated to the system results as the expectation value of the quantum Hamiltonian on squeezed coherent states. We develop such method and particularize the quantum Hamiltonian for a combined and for a RF trap, with axial symmetry and a RF anharmonic electric potential. We also build the classical Hamiltonian functions for the particular traps we considered, and find the classical equations of motion.

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“…The m.d procedure for laser cooling takes into account the absorption and emission processes of photons on the involved atomic transitions. Details of its modeling as well as the definition of temperature used are explained in [14]. The rf electric fields obey Eq.…”

mentioning

confidence: 99%

Parallel ion strings in linear multipole traps

et al. 2011

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Additional radio-frequency (rf) potentials applied to linear multipole traps create extra field nodes in the radial plane which allow to confine single ions, or strings of ions, in totally rf field-free regions. The number of nodes depends on the order of the applied multipole potentials and their relative distance can be easily tuned by the amplitude variation of the applied voltages. Simulations using molecular dynamics show that strings of ions can be laser cooled down to the Doppler limit in all directions of space. Once cooled, organized systems can be moved with very limited heating, even if the cooling process is turned off.Radio-frequency (rf) traps are very useful tools for a wide range of research interests such as high resolution spectroscopy [1], frequency standards [2], quantum information processing [3] and quantum simulations [4]. The ability to trap and cool atomic or molecular species in a well defined manner allows to control and study the quantum behaviour of these systems. Most experiments require a totally perturbation-free dynamics of the confined ions, and the micro-motion due to the rf trapping field can sometimes be a disturbing factor. In these cases, cold ions are confined in a string configuration along the longitudinal axis of a linear quadrupole trap, where the rf field vanishes. For a number of applications, in particular in quantum logic and quantum simulations [3,4], it could be desirable to create more sites inside a trap where the ions do not undergo the rf parametric excitation. Linear traps of higher order, here called multipole traps, offer larger regions of low rf electric fields [5] which allow to trap large samples with a reduced driven micromotion, as compared to the same sample trapped in a linear quadrupole trap [6]. Local minima can be induced in the trapping potential by adding static voltages to these multipole rf voltages [7,8] but the ions then undergo a rf driven motion which is detrimental when very low temperatures need to be reached. The superimposition of a lower order rf field onto the main trapping field generates minima to the trapping potential where the rf field is nulled. In such a configuration and depending on their number, the ions can settle in each minimum as individual ions or as parallel strings of ions expanding in the axial direction. Due to the absence of a local rf electric field, laser cooling can reduce the temperature of the ions as low as for a chain of ions in a quadrupole trap.In this letter we first give an example of principle of the proposed method by combining a quadrupole potential with the potential created by a linear octupole trap. To demonstrate how to reach the Doppler limit by Doppler laser cooling we use molecular dynamics (m.d.) simulations of a 10-ion system, in a double line configuration. In a second part, we discuss the general case of two combined rf potentials of different order. In these two parts, * mathieu.marciante@etu.univ-provence.fr we assume an ideal electric field for each superimposed rf field. In the third ...

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Ion dynamics in a linear radio-frequency trap with a single cooling laser

Cited by 26 publications

References 41 publications

Ion transport in macroscopic RF linear traps

Ion transport in macroscopic RF linear traps

Squeezed coherent states of motion for ions confined in quadrupole and octupole ion traps

Parallel ion strings in linear multipole traps

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