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Large clouds of atoms in a magneto-optical trap (MOT) are known to exhibit spatiotemporal instabilities when the frequency of the trapping lasers comes close to the atomic resonance. Such instabilities possess similarities with stars and…

Atomic Physics · Physics 2022-01-25 M. Gaudesius , Y. -C. Zhang , T. Pohl , R. Kaiser , G. Labeyrie

This tutorial introduces the dynamics of charged particles in a radiofrequency trap in a very general manner to point out the differences between the dynamics in a quadrupole and in a multipole trap. When dense samples are trapped, the…

Quantum Physics · Physics 2015-05-13 Caroline Champenois

Trapped atomic ions have become one of the most promising architectures for a quantum computer, and current effort is now devoted to the transport of trapped ions through complex segmented ion trap structures in order to scale up to much…

Quantum Physics · Physics 2008-02-20 D. Hucul , M. Yeo , W. K. Hensinger , J. Rabchuk , S. Olmschenk , C. Monroe

We present two methods for characterization of motional-mode configurations that are generally applicable to the weak and strong-binding limit of single or multiple trapped atomic ions. Our methods are essential to realize control of the…

We investigate high frequency motional states of trapped atomic ions. Trapped ions in rf traps are confined by an approximate harmonic potential and exhibit quantum motional states that mediate essential techniques in quantum computing,…

Quantum Physics · Physics 2026-04-07 A. J. Rasmusson

We experimentally study two-dimensional (2D) Coulomb crystals in the "radial-2D" phase of a linear Paul trap. This phase is identified by a 2D ion lattice aligned entirely with the radial plane and is created by imposing a large ratio of…

The present paper describes the experimental implementation of a measuring technique employing a slowly moving, near resonant, optical standing wave in the context of trapped ions. It is used to measure several figures of merit that are…

Quantum Physics · Physics 2015-05-28 A. Walther , U. Poschinger , K. Singer , F. Schmidt-Kaler

This paper presents a method to describe dynamics of an ion confined in a realistic finite range trap. We model this realistic potential with a solvable one and we obtain dynamical variables (raising and lowering operators) of this…

Quantum Physics · Physics 2011-12-30 M. Bagheri Harouni , M. Davoudi Darareh

In this paper we will explore the 2D system describing trapped ionic system in the quadrapole field with a superposition of rationally symmetric hexapole and octopole fields for meromorphic integrability. We use the Lyapunov's and…

Dynamical Systems · Mathematics 2021-03-31 Georgi Georgiev

We investigate theoretically the possibility for robust and fast cooling of a trapped atomic ion by transient interaction with a pre-cooled ion. The transient coupling is achieved through dynamical control of the ions' equilibrium…

Quantum Physics · Physics 2020-08-26 Tobias Sägesser , Roland Matt , Robin Oswald , Jonathan P. Home

We consider the stability of systems subjected to periodic parametric driving such that their equations of motion are ordinary differential equations with periodic coefficients and carry out a detailed analysis of important aspects of such…

Atomic Physics · Physics 2016-08-17 Dimitris Trypogeorgos , Christopher Foot

Self-trapping and acceleration of ions in laser-driven relativistically transparent plasma are investigated with the help of particle-in-cell simulations. A theoretical model based on ion wave breaking is established in describing ion…

Plasma Physics · Physics 2019-04-02 B. Liu , J. Meyer-ter-Vehn , H. Ruhl

The stability of the orbital motion of two long cylindrical magnets interacting exclusively with magnetic forces is described. To carry out analytical studies a model of magnetically interacting symmetric tops [1] is used. The model was…

Mathematical Physics · Physics 2011-01-18 Stanislav Zub

Ion trap is one of the most promising candidates for quantum computing. Current schemes mainly focus on a linear chain of up to about one hundred ions in a Paul trap. To further scale up the qubit number, one possible direction is to use 2D…

Quantum Physics · Physics 2021-02-24 Y. -K. Wu , Z. -D. Liu , W. -D. Zhao , L. -M. Duan

We present a two particle model to explain the mechanism that stabilizes a bunch of positively charged ions in an "ion trap resonator" [Pedersen etal, Phys. Rev. Lett. 87 (2001) 055001]. The model decomposes the motion of the two ions into…

Atomic Physics · Physics 2009-11-07 Tihamer Geyer , David J. Tannor

We study the dynamics of Rydberg ions trapped in a linear Paul trap, and discuss the properties of ionic Rydberg states in the presence of the static and time-dependent electric fields constituting the trap. The interactions in a system of…

Quantum Physics · Physics 2009-11-13 M. Mueller , L. -M. Liang , I. Lesanovsky , P. Zoller

Quadrupole ion traps can be transformed into nonlinear traps with integrable motion by adding special electrostatic potentials. This can be done with both stationary potentials (electrostatic plus a uniform magnetic field) and with…

Atomic Physics · Physics 2011-11-08 S. Nagaitsev , V. Danilov

We study the nonequilibrium stationary state of a one-dimensional inertial run-and-tumble particle (IRTP) trapped in a harmonic potential. We find that the presence of inertia leads to two distinct dynamical scenarios, namely, overdamped…

Statistical Mechanics · Physics 2025-05-21 Debraj Dutta , Anupam Kundu , Sanjib Sabhapandit , Urna Basu

While the linear radiofrequency trap finds various applications in high-precision spectroscopy and quantum information, its higher-order cousin, the linear multipole trap, is almost exclusively employed in physical chemistry. Recently,…

For experiments with ions confined in a Paul trap, minimization of micromotion is often essential. In order to diagnose and compensate micromotion we have implemented a method that allows for finding the position of the radio-frequency (RF)…