Journal of Tianjin University Science and Technology

Study on the Thermal Stability of the Cold Trapped Ion Ground State

Zhao Hong

Published Jan 1, 2002• 0 citations

Abstract

We investigate the evolution of the ionic states with the temperature in the presence of laser ion interaction in a linear radio frequency trap The expectation value of ions' excited states with different laser detuning frequencies Δ is plotted against the temperature, and the upper limit of the temperature at which the logical gate operations could be carried out reliably is given Our result is quantitatively in agreement with that of the experiment

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Journal of Tianjin University Science and Technology

Study on the Thermal Stability of the Cold Trapped Ion Ground State

Zhao Hong

Published Jan 1, 2002• 0 citations

OpenAlex

Abstract

Related papers

The Temperature Effects on the Ion Trap Quantum Computer

Hong-min, JiatiLIN

高能物理与核物理计算国际会议公报：英文版Jan 1, 20010 citations

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Hong Min Zhao, Wei Li, Jia Ti Lin

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Yoshiharu Maeno Yoshiharu Maeno, Maki Tachikawa, Yoshiki Moriwaki +1 more

Japanese Journal of Applied PhysicsFeb 1, 199514 citations

Fluorescence profiles and cooling dynamics of laser-cooled Mg+ ions in a linear rf ion trap

XianZhen Zhao, Vladimir L. Ryjkov, Hans A. Schuessler

Fluorescence line profiles and their implications on the cooling dynamics of the ${\mathrm{Mg}}^{+}$ ions stored in a linear rf trap are studied. The line profile is dictated by the temperature of the ion cloud at different laser detunings. The upper bound of the lowest temperature was estimated for different values of the rf trapping potential amplitude and the buffer gas pressure. A general trend of this ultimate temperature to increase with the rf trapping voltage and buffer gas pressure is expected, with an abrupt change at some critical value corresponding to the transition to and from a strongly correlated liquid or crystal state. While on the one hand this expectation was confirmed when the buffer gas pressure was varied; on the other hand the influence of the amplitude of the trapping voltage on the ultimate temperature shows an interesting new feature of first dipping down before the sharp increase occurs.Fluorescence line profiles and their implications on the cooling dynamics of the ${\mathrm{Mg}}^{+}$ ions stored in a linear rf trap are studied. The line profile is dictated by the temperature of the ion cloud at different laser detunings. The upper bound of the lowest temperature was estimated for different values of the rf trapping potential amplitude and the buffer gas pressure. A general trend of this ultimate temperature to increase with the rf trapping voltage and buffer gas pressure is expected, with an abrupt change at some critical value corresponding to the transition to and from a strongly correlated liquid or crystal state. While on the one hand this expectation was confirmed when the buffer gas pressure was varied; on the other hand the influence of the amplitude of the trapping voltage on the ultimate temperature shows an interesting new feature of first dipping down before the sharp increase occurs.

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The nonlinear dynamics of large ion clouds ($N\ensuremath{\ge}256$ ions) trapped in radio-frequency (rf) traps and coupled to laser cooling give rise to a bistable behavior of the temperature. Numerical simulations of the free evolution of a large three-dimensional spherical cloud is used to characterize how the oscillating field amplitude and the ion number control the rf-heating rate and the switching between the two stable states. We show that the heating rate does not significantly depend on the ion number but strongly depends on the oscillating field. This exhibits the major role played by the density of the ensemble. The competition between the radio-frequency heating and the laser cooling is also discussed. They are used to design scenarios to take advantage of the threshold effect to detect and quantify perturbations by an intruder.The nonlinear dynamics of large ion clouds ($N\ensuremath{\ge}256$ ions) trapped in radio-frequency (rf) traps and coupled to laser cooling give rise to a bistable behavior of the temperature. Numerical simulations of the free evolution of a large three-dimensional spherical cloud is used to characterize how the oscillating field amplitude and the ion number control the rf-heating rate and the switching between the two stable states. We show that the heating rate does not significantly depend on the ion number but strongly depends on the oscillating field. This exhibits the major role played by the density of the ensemble. The competition between the radio-frequency heating and the laser cooling is also discussed. They are used to design scenarios to take advantage of the threshold effect to detect and quantify perturbations by an intruder.

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Fluorescence line profiles and their implications on the cooling dynamics of the

{\mathrm{Mg}}^{+}

ions stored in a linear rf trap are studied. The line profile is dictated by the temperature of the ion cloud at different laser detunings. The upper bound of the lowest temperature was estimated for different values of the rf trapping potential amplitude and the buffer gas pressure. A general trend of this ultimate temperature to increase with the rf trapping voltage and buffer gas pressure is expected, with an abrupt change at some critical value corresponding to the transition to and from a strongly correlated liquid or crystal state. While on the one hand this expectation was confirmed when the buffer gas pressure was varied; on the other hand the influence of the amplitude of the trapping voltage on the ultimate temperature shows an interesting new feature of first dipping down before the sharp increase occurs.

An experimental study of sideband laser cooling of trapped ions in miniature radio-frequency traps is presented.

{\mathrm{In}}^{+}

ions are laser cooled by exciting the narrow intercombination line ${5s}^{2}{}^{1}{S}_{0}\ensuremath{\rightarrow}5s5p{}^{3}{P}_{1}$, which shows resolved sidebands due to the vibrational motion of the ions in the trap. The influence of the micromotion at the frequency of the oscillating trapping field is investigated. Heating processes through coupling with the trapping field occur for certain regions of negative laser detuning. A method of bichromatic sideband cooling is introduced that combines efficient cooling from high temperatures with the possibility of reaching low mean vibrational quantum numbers

〈n〉<1

by using narrow optical transitions. This technique allows recording of high-resolution excitation spectra of the cooling transition in the Lamb-Dicke regime and thus determination of

〈n〉

. Single ions as well as two-ion Coulomb crystals have been cooled to temperatures below $100 \ensuremath{\mu}\mathrm{K}$, and population of the ground state of motion to more than 50% over long time scales is demonstrated. These values are close to the lower limit for the detection of vibrational excitation with the present method.