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We present schemes to prepare two-dimensional cluster states [H. J. Briegel and R. Raussendorf, Phys. Rev. Lett. {\bf 86}, 910 (2001)] with atomic ions confined in a micro-structured linear ion trap and coupled by an engineered spin-spin…

Quantum Physics · Physics 2009-06-08 Harald Wunderlich , Christof Wunderlich , Kilian Singer , Ferdinand Schmidt-Kaler

This thesis provides an overview of an approach to quantum simulations using magnesium-25 ions stored in a linear Paul trap as the carriers of quantum information. Their quantum state is manipulated and read out using ultraviolet laser…

Quantum Physics · Physics 2007-05-23 Lutz Petersen

We present a detailed method for accumulating Ca$^{+}$ ions controllably in a linear Paul trap. The ions are generated by pulsed laser ablation and dynamically loaded into the ion trap by switching the trapping potential on and off. The…

Atomic Physics · Physics 2024-05-14 Lin Li , Zi Li , Xia Hua , Xin Tong

Sympathetic laser cooling of ions stored within a linear-geometry, radio frequency, electric-quadrupole trap has been investigated using computational and theoretical techniques. The simulation, which allows 5 sample ions to interact with…

Atomic Physics · Physics 2009-11-07 T. J. Harmon , N. Moazzen-Ahmadi , R. I. Thompson

We use laser-cooled ion Coulomb crystals in the well-controlled environment of a harmonic radiofrequency ion trap to investigate phase transitions and defect formation. Topological defects in ion Coulomb crystals (kinks) have been recently…

We discuss the use of two-dimensional $^{9}$Be$^{+}$ ion crystals for experimental tests of quantum control techniques. Our primary qubit is the 124 GHz ground-state electron spin flip transition, which we drive using microwaves. An ion…

The motion of an ion in a radiofrequency (rf) Paul trap is described by the Mathieu equation and the associated stability parameters that are proportional to the rf and dc electric field gradients. Here, a higher-order, iterative method to…

Atomic Physics · Physics 2022-09-30 T. Lindvall , K. J. Hanhijärvi , T. Fordell , A. E. Wallin

A theoretical description for the radial density profile of a finite number of identical charged particles confined in a harmonic trap is developed for application over a wide range of Coulomb coupling (or, equivalently, temperatures) and…

Statistical Mechanics · Physics 2015-05-14 J. Wrighton , J. W. Dufty , H. Kählert , M. Bonitz

We theoretically investigate the use of fast pulsed two-qubit gates for trapped ion quantum computing in a two-dimensional microtrap architecture. In one dimension, such fast gates are optimal when employed between nearest neighbours, and…

Quantum Physics · Physics 2020-07-29 Zain Mehdi , Alexander K. Ratcliffe , Joseph J. Hope

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

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

Recently observed Pauli crystals are structures formed by trapped ultracold atoms with the Fermi statistics. Interactions between these atoms are switched off, so their relative positions are determined by joined action of the trapping…

Crystals of repulsively interacting ions in planar traps form hexagonal lattices, which undergo a buckling instability towards a multi-layer structure as the transverse trap frequency is reduced. Numerical and experimental results indicate…

Quantum Gases · Physics 2016-09-13 Daniel Podolsky , Efrat Shimshoni , Giovanna Morigi , Shmuel Fishman

We present a cryogenic ion trapping system designed for large scale quantum simulation of spin models. Our apparatus is based on a segmented-blade ion trap enclosed in a 4 K cryostat, which enables us to routinely trap over 100…

The quest for experimental platforms that allow for the exploration, and even control, of the interplay of low dimensionality and frustration is a fundamental challenge in several fields of quantum many-body physics, such as quantum…

Quantum Physics · Physics 2012-09-27 A. Bermudez , J. Almeida , K. Ott , H. Kaufmann , S. Ulm , U. Poschinger , F. Schmidt-Kaler , A. Retzker , M. B. Plenio

We show using numerical simulations that a rich variety of novel colloidal crystalline states are realized on square and triangular two dimensional periodic substrates which can be experimentally created using crossed laser arrays. When…

Soft Condensed Matter · Physics 2016-08-31 C. Reichhardt , C. J. Olson

We study experimentally and numerically the motion of a self-phoretic active particle in two-dimensional (2D) loosely-packed colloidal crystals at fluid interfaces. Two scenarios emerge depending on the interaction between the active…

Soft Condensed Matter · Physics 2018-07-04 Kilian Dietrich , Ivo Buttinoni , Giovanni Volpe , Lucio Isa

We investigate the non-equilibrium dynamics of coupled Coulomb crystals of different sizes trapped in a double well potential. The dynamics is induced by an instantaneous quench of the potential barrier separating the two crystals. Due to…

Atomic Physics · Physics 2017-10-04 Andrea Klumpp , Alexandra Zampetaki , Peter Schmelcher

With MgH^+ ions as a test case, we investigate to what extent the rotational motion of smaller polar molecular ions sympathetically cooled into Coulomb crystals in linear Paul traps couples to the translational motions of the ion ensemble.…

Chemical Physics · Physics 2015-06-26 Anders Bertelsen , Solvejg Jørgensen , Michael Drewsen

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