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We report the optical trapping of multiple ions localized at individual lattice sites of a one-dimensional optical lattice. We observe a fivefold increase in robustness against axial DC-electric fields and an increase of the axial…

Atomic Physics · Physics 2023-06-23 Daniel Hoenig , Fabian Thielemann , Leon Karpa , Thomas Walker , Amir Mohammadi , Tobias Schaetz

There is currently intensive research into creating a large-scale quantum computer with trapped ions. It is well known that for a linear ion crystal in a harmonic potential, the ions near the center are more closely spaced compared to the…

Quantum Physics · Physics 2017-01-13 S. R. Bastin , Tony E. Lee

We have studied the general aspects of the dynamics of an ion trapped in an ideal multipolar radiofrequency trap while interacting with a dense cold atomic gas. In particular, we have explored the dynamical stability, the energy relaxation…

Atomic Physics · Physics 2025-06-27 Mateo Londoño , Javier Madroñero , Jesús Pérez-Ríos

Ion Coulomb crystals are ordered structures formed by laser-cooled ions in traps that are characterized by interparticle distances of several micrometers and energy scales on the order of $\mu$eV. Their crystalline structure emerges from…

Atomic Physics · Physics 2026-03-23 Giovanna Morigi , John Bollinger , Michael Drewsen , Daniel Podolsky , Efrat Shimshoni

The normal modes of a trapped ion crystal are derived using an approach based on the Hermitian properties of the systems dynamical matrix. This method is equivalent to the standard Bogoliubov method, but for classical systems it is arguably…

Atomic Physics · Physics 2020-10-28 Daniel H. E. Dubin

An introductory review of the linear ion trap is given, with particular regard to its use for quantum information processing. The discussion aims to bring together ideas from information theory and experimental ion trapping, to provide a…

Quantum Physics · Physics 2009-10-30 Andrew M. Steane

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 the dynamics of an ion sympathetically cooled by another laser-cooled ion or small ion crystal. To this end, we develop simple models of the cooling dynamics in the limit of weak Coulomb interactions. Experimentally, we…

Quantum Physics · Physics 2015-10-02 M. Guggemos , D. Heinrich , O. A. Herrera-Sancho , R. Blatt , C. F. Roos

Based on the Langevin equation, a stochastic formulation is implemented to describe the dynamics of a trapped ion in a bath of ultracold atoms, including an excess of micromotion. The ion dynamics is described following a hybrid…

Quantum Gases · Physics 2025-06-30 Mateo Londoño , Javier Madroñero , Jesús Pérez Ríos

Coulomb crystals -- ordered structures of cold ions confined in ion traps -- find applications in a variety of research fields. The number and temperature of the ions forming the Coulomb crystals are two key attributes of interest in many…

Atomic Physics · Physics 2025-09-09 Yanning Yin , Stefan Willitsch

We investigate the motional resonances of dual-species Coulomb crystals comprised of $^9$Be$^+$ and $^{24}$Mg$^+$ ions held in a 4-rod linear Paul trap. Our experimental data and simulations show that the secular motion of such mixed…

Atomic Physics · Physics 2021-02-16 Byoung-moo Ann , Fabian Schmid , Jonas Krause , Theodor W. Hänsch , Thomas Udem , Akira Ozawa

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

We study ion condensation onto a patterned surface of alternating charges. The competition between self-energy and ion-surface interactions leads to the formation of ionic crystalline structures at low temperatures. We consider different…

Statistical Mechanics · Physics 2009-11-13 Yuri S. Velichko , Francisco J. Solis , Sharon M. Loverde , Monica Olvera de la Cruz

Test modes on turbulent magnetized plasmas are studied taking into account the ion trapping that characterizes the E x B drift in the background turbulence. We show that trappyng provides the physical mechanism for the formation of large…

Plasma Physics · Physics 2012-09-11 Madalina Vlad

We investigate the dynamics under diabatic expansions/compressions of linear ion chains.Combining a dynamical normal-mode harmonic approximation with the invariant-based inverse-engineering technique, we design protocols that minimize the…

Quantum Physics · Physics 2016-08-03 M. Palmero , S. Martínez-Garaot , J. Alonso , J. P. Home , J. G. Muga

Trapped-ion optical clocks are capable of achieving systematic fractional frequency uncertainties of $10^{-18}$ and possibly below. However, the stability of current ion clocks is fundamentally limited by the weak signal of single-ion…

Using trapped ions in an entangled state we propose detecting a magnetic dipole of a single atom at distance of a few $\mu$m. This requires a measurement of the magnetic field gradient at a level of about 10$^{-13}$ Tesla/$\mu$m. We discuss…

Quantum Physics · Physics 2015-06-05 F. Schmidt-Kaler , R. Gerritsma

Trapped singly-charged ions can crystallize as a result of laser cooling. The emerging structure depends on the number of particles and on the geometry of the trapping potential. In linear multipole radiofrequency traps, the geometry of the…

Atomic Physics · Physics 2013-01-28 Florian Cartarius , Cecilia Cormick , Giovanna Morigi

The results of a theoretical investigation on the low-velocity stopping power of the ions moving in a magnetized collisional plasma are presented. The stopping power for an ion is calculated employing linear response theory using the…

Plasma Physics · Physics 2015-05-19 Hrachya B. Nersisyan , Claude Deutsch , Amal K. Das

We analyze the dynamics of a chain of singly-charged ions confined in a linear Paul trap and which couple with the mode of a high-finesse optical resonator. In these settings the ions interact via the Coulomb repulsion and are subject to…

Quantum Physics · Physics 2015-06-11 Cecilia Cormick , Giovanna Morigi