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Linear arrays of trapped and laser cooled atomic ions are a versatile platform for studying emergent phenomena in strongly-interacting many-body systems. Effective spins are encoded in long-lived electronic levels of each ion and made to…

We report on quantum simulations of relativistic scattering dynamics using trapped ions. The simulated state of a scattering particle is encoded in both the electronic and vibrational state of an ion, representing the discrete and…

We propose a dissipative method for preparation of a maximally entangled steady state of two trapped ions in the Lamb-Dicke limit. By addressing the trapped-ion system with a monochromatic standing wave laser pulse of frequency resonant…

Quantum Physics · Physics 2022-07-14 Xiao-Qiang Shao

Recent experiments [K. R. Brown, et al., Nature 471, 196 (2011); and M. Harlander, et al., Nature 471, 200 (2011)] have demonstrated the coherent manipulations on the external vibrations of two ions, confined individually in the separated…

Quantum Physics · Physics 2011-06-21 Miao Zhang , L. F. Wei

We present a scheme utilizing position-dependent ac Stark shifts for doing quantum logic with trapped ions. By a proper choice of direction, position and size, as well as power and frequency of a far-off-resonant Gaussian laser beam,…

Quantum Physics · Physics 2009-11-07 Peter Staanum , Michael Drewsen

The time evolution of a closed quantum system is connected to its Hamiltonian through Schroedinger's equation. The ability to estimate the Hamiltonian is critical to our understanding of quantum systems, and allows optimization of control.…

A Hamiltonian approach to the solution of the Vlasov-Poisson equations has been developed. Based on a nonlinear canonical transformation, the rapidly oscillating terms in the original Hamiltonian are transformed away, yielding a new…

Accelerator Physics · Physics 2009-11-07 Stephan I. Tzenov , Ronald C. Davidson

Optical dipole traps and fractional Talbot optical lattices based on the interference between multiple co-propagating laser beams are proposed. The variation of relative amplitudes and phases of the interfering light beams of these traps…

Atomic Physics · Physics 2009-11-11 Yuri B. Ovchinnikov

We investigate laser-driven vibronic transitions of a single two-level atomic ion in harmonic and hard wall traps. In the Lamb-Dicke regime, for tuned or detuned lasers with respect to the internal frequency of the ion, and weak or strong…

Quantum Physics · Physics 2009-11-13 I. Lizuain , J. G. Muga

We study the interaction of a light beams carrying angular momentum with a single, trapped and well localized ion. We provide a detailed calculation of selection rules and excitation probabilities for quadrupole transitions. The results…

Atomic Physics · Physics 2012-04-24 Christian Tomás Schmiegelow , Ferdinand Schmidt-Kaler

The interaction of relativistically strong tailored laser pulses with an atomic system is considered. Due to a special tailoring of the laser pulse, the suppression of the relativistic drift of the ionized electron and a dramatic…

Atomic Physics · Physics 2009-11-13 Michael Klaiber , Karen Z. Hatsagortsyan , Christoph H. Keitel

We report an experimental implementation of dynamical holographic tweezers for single trapped atoms. The tweezers are realized with dynamical phase holograms displayed on the liquid crystal spatial light modulator. We experimentally…

The electronic and motional degrees of freedom of trapped ions can be controlled and coherently coupled on the level of individual quanta. Assembling complex quantum systems ion by ion while keeping this unique level of control remains a…

We propose an ion trap configuration such that individual traps can be stacked together in a three dimensional simple cubic arrangement. The isolated trap as well as the extended array of ion traps are characterized for different locations…

Atomic Physics · Physics 2011-12-30 K. Ravi , Seunghyun Lee , Arijit Sharma , Tridib Ray , G. Werth , S. A. Rangwala

In this tutorial we review physical implementation of quantum computing using a system of cold trapped ions. We discuss systematically all the aspects for making the implementation possible. Firstly, we go through the loading and confining…

Quantum Physics · Physics 2015-06-26 Marek Sasura , Vladimir Buzek

Isolating neutral and charged particles from the environment is essential in precision experiments. For decades, this has been achieved by trapping ions with radio-frequency (rf) fields and neutral particles with optical fields. Recently,…

Atomic Physics · Physics 2021-05-05 Tobias Schaetz

Ion traps are a versatile tool to study nonequilibrium statistical physics, due to the tunability of dissipation and nonlinearity. We propose an experiment with a chain of trapped ions, where dissipation is provided by laser heating and…

Pattern Formation and Solitons · Physics 2011-04-06 Tony E. Lee , M. C. Cross

Spatially-structured laser beams, eventually carrying orbital angular momentum, affect electronic transitions of atoms and their motional states in a complex way. We present a general framework, based on the spherical tensor decomposition…

We describe a possible architecture to implement a universal bosonic simulator (UBS) using trapped ions. Single ions are confined in individual traps, and their motional states represent the bosonic modes. Single-mode linear operators,…

Quantum Physics · Physics 2012-06-29 Hoi-Kwan Lau , Daniel F. V. James

A Hamiltonian approach to the solution of the Vlasov-Poisson equations has been developed. Based on a nonlinear canonical transformation, the rapidly oscillating terms in the original Hamiltonian are transformed away, yielding a new…

Accelerator Physics · Physics 2008-11-26 Stephan I. Tzenov , Ronald C. Davidson