Dynamics of a single trapped ion in a high-density medium: A stochastic approach

Mateo, Londoño,; Madroñero, Javier; Ríos, Jesús Pérez

doi:10.1103/physreva.106.022803

Cited by 2 publications

(6 citation statements)

References 25 publications

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“…Following [31,36,38], we choose to expand the stochastic average of the variance in terms of Fourier series basis set, i.e.…”

Section: Variance In the Long Time Limit By Recursion Methodsmentioning

confidence: 99%

“…Finally, we consider the case of T → 0, and it is unsuitable to use equation (37) to make approximations because equation (36) may result in entirely different outcomes. Instead, we are able to simulate this case by choosing a smaller λ ′ , and we find that the noise appears to be distinct, as shown in figure 7(b).…”

Section: The Case Of Ou Processmentioning

confidence: 99%

“…We give an example of the OU-process in the experiment. The process X t satisfies the following [36]:…”

Section: Data Availability Statementmentioning

confidence: 99%

“…The correlation time is related to the density of the bath, the Langevin rate for atom-ion collisions [43]. These physical quantities can be measured in experiments through some physical quantities [36]. The colored noise parameters that we have chosen contain two scales in order to simulate any probable cases for discussions.…”

Section: Data Availability Statementmentioning

confidence: 99%

“…Compared with the white noise, the colored noise is believed to reflect a more realistic stochastic and physical process, which is characterized by the OU process [34,35]. Previous studies have investigated the effect of the colored noise compared to the white noise on the ion motion [36].…”

Section: Introductionmentioning

confidence: 99%

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Systematic investigations on ion dynamics with noises in Paul trap

Wang,

Liu,

Cheng

et al. 2023

J. Phys. A: Math. Theor.

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Ions confined in a Paul trap serve as crucial platforms in various research fields, including quantum computing and precision spectroscopy. However, the ion dynamics is inevitably influenced by different types of noise, which require accurate computations and general analytical analysis to facilitate diverse applications based on trapped ions with white or colored noise. In the present work, we investigate the motion of ions in a Paul trap via the Langevin equation using both analytical and numerical methods, systematically studying three different types of noise: the white noise, the colored noise via the Ornstein–Uhlenbeck process and the Wiener process. For the white noise of the case, we provide a recursion method to calculate ion motion for a wide range of parameters. Furthermore, we present an analytical solution to the more realistic stochastic process associated with the colored noise, verified by the Monte Carlo simulation. By comparing the results of the colored noise with those of the white noise, and additionally considering another limit of noise parameters corresponding to the Wiener process, we summarize the effects of different noise types on the ion dynamics.

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“…Following [31,36,38], we choose to expand the stochastic average of the variance in terms of Fourier series basis set, i.e.…”

Section: Variance In the Long Time Limit By Recursion Methodsmentioning

confidence: 99%

Section: The Case Of Ou Processmentioning

confidence: 99%

“…We give an example of the OU-process in the experiment. The process X t satisfies the following [36]:…”

Section: Data Availability Statementmentioning

confidence: 99%

Section: Data Availability Statementmentioning

confidence: 99%