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Using numerical simulations of the time-dependent Schr\"odinger equation, we study the full quantum dynamics of the motion of an atomic ion in a linear Paul trap. Such a trap is based on a time-varying, periodic electric field, and hence…

Atomic Physics · Physics 2015-08-06 A. Hashemloo , C. M. Dion , G. Rahali

Planar rotors can be realized by confining molecular ions or charged nanoparticles together with atomic ions in a Paul trap. We study the case of molecular ions or charged nanoparticles that have an electric dipole moment which couples to…

Quantum Physics · Physics 2025-04-02 Monika Leibscher , Ferdinand Schmidt-Kaler , Christiane P. Koch

We investigate rotational state changes in a single collision of diatomic molecular ions, polar or apolar, with an atomic ion. Rotational state changes may occur since the angular degree of freedom of the molecular ions interacts with the…

Quantum Physics · Physics 2026-04-20 J. Martin Berglund , Michael Drewsen , Christiane P. Koch

We study the translational motions of homonuclear diatomic molecules prepared in their ${}^3\Sigma$ electronic states, deeply bound vibrational states, and rotational states of well-defined parity. The trapping potential arises due to the…

Mathematical Physics · Physics 2026-03-05 Yurij Yaremko , Maria Przybylska , Andrzej J. Maciejewski

We investigate confinement-induced resonances in atom-ion quantum mixtures confined in hybrid traps. Specifically, we consider an ion confined in a time-dependent radio-frequency Paul trap with linear geometry, while the atom is constrained…

Atomic Physics · Physics 2019-12-11 Vladimir S. Melezhik , Zbigniew Idziaszek , Antonio Negretti

The classical model that describes the motion of an atom in a magnetic trap is solved in order to investigate the relationship between the failure of the usual adiabatic approximation assumption and the physical parameters of the trap. This…

Quantum Gases · Physics 2015-05-18 Bruno Zambon , Roberto Franzosi

The rotating saddle not only is an interesting system that is able to trap a ball near its saddle point, but can also intuitively illustrate the operating principles of quadrupole ion traps in modern physics. Unlike the conventional models…

Classical Physics · Physics 2017-11-22 Wenkai Fan , Li Du , Sihui Wang , Huijun Zhou

We study the quantum stability of the dynamics of ions in a Paul trap. We revisit the results of Wang et al. [Phys. Rev. A 52, 1419 (1995)], which showed that quantum trajectories did not have the same region of stability as their classical…

Atomic Physics · Physics 2017-08-02 A. Hashemloo , C. M. Dion

This work is devoted to the investigation of possibility of controlling of ions motion inside Paul trap. It has been shown that by proper selection of the parameters of controlling electric fields, stable localization of ions inside Paul…

Chaotic Dynamics · Physics 2007-08-07 L. Chotorlishvili , K. Nickoladze , G. Mchedlishvili

We theoretically analyze the dynamics of an atomic double-well system with a single ion trapped in its center. We find that the atomic tunnelling rate between the wells depends both on the spin of the ion via the short-range spin-dependent…

Quantum Physics · Physics 2015-06-19 Jannis Joger , Antonio Negretti , Rene Gerritsma

When an ion confined in a linear ion trap interacts with a coherent laser field, the internal degrees of freedom, related to the electron transitions, couple to the vibrational degree of freedom of the ion. As a result of this interaction,…

Quantum Physics · Physics 2009-11-06 G. P. Berman , A. R. Bishop , D. F. V. James , R. J. Hughes , D. I. Kamenev

We develop the theory describing the quantum coupled dynamics of the center-of-mass motion of a nanoparticle and an ensemble of ions co-trapped in a dual-frequency linear Paul trap. We first derive analytical expressions for the motional…

We examine the motions of particles in quadrupole ion traps as a function of damping and trapping forces, including cases where nonlinear damping or nonlinearities in the electric field geometry play significant roles. In the absence of…

Atomic and Molecular Clusters · Physics 2015-06-22 Eugene A. Vinitsky , Eric D. Black , Kenneth G. Libbrecht

We investigate quantum dynamics for an ion confined within an oscillating quadrupole field, starting from two well known and elegant approaches. It is established that the Hamilton equations of motion, in both Schr\"{o}dinger and Heisenberg…

Quantum Physics · Physics 2024-12-17 Bogdan M. Mihalcea

A linear ion trap setup has been developed for studying the dynamics of trapped ion cloud and thereby realizing possible systematics of a high precision measurement on a single ion within it. The dynamics of molecular nitrogen ion cloud has…

Atomic Physics · Physics 2013-06-25 P. Mandal , M. Mukherjee

We consider the practical feasibility of using the direct, electric dipole-dipole interaction between co-trapped molecular ions for robust quantum logic without the need for static polarizing fields. The use of oscillating dipole moments,…

Atomic Physics · Physics 2018-10-31 Eric R. Hudson , Wesley C. Campbell

In the present work, we study the classical behavior of an electric dipole in presence of an external uniform magnetic field. We derive equations and constants of motion from the Lagrangian formulation. We obtain an infinitely periodic…

Classical Physics · Physics 2009-11-11 Paulina I. Troncoso , Sergio Curilef

Sympathetic cooling of molecular ions through the Coulomb interaction with laser-cooled atomic ions is an efficient tool to prepare translationally cold molecules without, ideally, affecting the internal state of the molecular ions.…

Quantum Physics · Physics 2026-04-20 J. Martin Berglund , Michael Drewsen , Christiane P. Koch

We theoretically investigate the trap-assisted formation of complexes in atom-ion collisions and their impact on the stability of the trapped ion. The time-dependent potential of the Paul trap facilitates the formation of temporary…

Atomic Physics · Physics 2023-04-07 H. Hirzler , E. Trimby , R. Gerritsma , A. Safavi-Naini , J. Pérez-Ríos

This work theoretically addresses the trapping an ionized atom with a single valence electron by means of lasers, analyzing qualitatively and quantitatively the consequences of the net charge of the particle. In our model, the coupling…

Quantum Physics · Physics 2015-05-20 Cecilia Cormick , Tobias Schaetz , Giovanna Morigi
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