Multi-temperature moment theory of Ag+ion motion and reaction with D2in ion traps

Ion traps like the Orbitrap are well known mass analyzers with very high resolving power. This resolving power is achieved with help of ions orbiting around an inner electrode for long time, in general up to a few seconds, since the mass signal is obtained by calculating the Fourier Transform of the induced signal caused by the ion motion. A similar principle is applied in the Cassinian Ion Trap of second order, where the ions move in a periodic pattern in-between two inner electrodes. The Cassinian ion trap has the potential to offer mass resolving power comparable to the Orbitrap with advantages regarding the experimental implementation. In this paper we have investigated the details of the ion motion analyzing experimental data and the results of different numerical methods, with focus on increasing the resolving power by increasing the oscillation frequency for ions in a high field ion trap. In this context the influence of the trap door, a tunnel through which the ions are injected into the trap, on the ion velocity becomes especially important.

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Moment theory of ion motion in traps and similar devices: II. Cylindrical apparatus

Journal of Physics B Atomic Molecular and Optical Physics ◽

10.1088/0953-4075/38/22/007 ◽

2005 ◽

Vol 38 (22) ◽

pp. 4011-4026 ◽

Cited By ~ 12

Author(s):

Larry A Viehland ◽

Emily A Kabbe ◽

Vijai V Dixit

Keyword(s):

Moment Theory ◽

Ion Motion

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Efficient computational scheme for ion dynamics in RF-field of Paul trap

Discrete and Continuous Models and Applied Computational Science ◽

10.22363/2658-4670-2019-27-4-378-385 ◽

2019 ◽

Vol 27 (4) ◽

pp. 378-385

Author(s):

Vladimir S. Melezhik

Keyword(s):

Radio Frequency ◽

Cold Atom ◽

Paul Trap ◽

Ion Traps ◽

Computational Scheme ◽

Time Interval ◽

Ion Dynamics ◽

Ion Motion ◽

Hamilton Equations ◽

Ion Collision

We have developed an efficient computational scheme for integration of the classical Hamilton equations describing the ion dynamics confined in the radio-frequency field of the Paul trap. It has permitted a quantitative treatment of cold atom-ion resonant collisions in hybrid atom-ion traps with taking into account unremovable ion micromotion caused by the radio-frequency fields (V.S. Melezhik et. al., Phys. Rev. A100, 063406 (2019)). The important element of the hybrid atom-ion systems is the electromagnetic Paul trap confining the charged ion. The oscillating motion of the confined ion is defined by two frequencies of the Paul trap. It is the frequency of the order of 100 kHz due to the constant electric field and the radio-frequency of about 1-2 MHz defined by the alternating electromagnetic field of the ion trap. The necessity to accurately treat the ion motion in the combined field with two time scales defined by these two very different frequencies has demanded to develop the stable computational scheme for integration of the classical Hamilton equations for the ion motion. Moreover, the scheme must be stable on rather long time-interval of the ion collision with the cold atom ∼ 10 × 2/ defined by the atomic trap frequency ∼ 10 kHz and in the moment of the atom-ion collision when the Hamilton equations are strongly coupled. The developed numerical method takes into account all these features of the problem and makes it possible to integrate the system of coupled quantum-semiclassical equations with the necessary accuracy and quantitatively describes the processes of atomic-ion collisions in hybrid traps, including resonance effects.

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Scheme for direct measurement of the two-mode Wigner function in cavity QED and ion traps.

Australian Journal of Physics ◽

10.1071/ph00004 ◽

2000 ◽

Vol 53 (3) ◽

pp. 429 ◽

Cited By ~ 1

Author(s):

Shi-Biao Zheng

Keyword(s):

Wigner Function ◽

Cavity Qed ◽

Ion Traps ◽

Resonant Interaction ◽

Cavity Field ◽

Ion Motion ◽

Trapped Ion ◽

Mode Field ◽

Level Atom ◽

Classical Fields

A scheme is proposed for the reconstruction of two-mode entangled states in cavity QED and ion traps. For a two-mode field we show that the Wigner function can be obtained by measuring the probability of a two-level atom being in ground states after resonant interaction with two classical fields and dispersive interaction with the two-mode cavity field displaced by resonant sources. For the two-dimensional motion of a trapped ion the Wigner function is obtained by measuring the probability of the ion in its ground electronic state after displacing the ion motion and then resonantly exciting the ion.

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