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An array of planar Penning traps, holding single electrons, can realize an artificial molecule suitable for NMR-like quantum information processing. The effective spin-spin coupling is accomplished by applying a magnetic field gradient,…

Quantum Physics · Physics 2015-06-26 G. Ciaramicoli , F. Galve , I. Marzoli , P. Tombesi

Two identical dipolar atoms moving in a harmonic trap without an external magnetic field are investigated. Using the algebra of angular momentum a semi - analytical solutions are found. We show that the internal spin - spin interactions…

Quantum Gases · Physics 2016-07-20 Rafał Ołdziejewski , Wojciech Górecki , Kazimierz Rzążewski

One of the challenges with quantum simulation in ion traps is that the effective spin-spin exchange couplings are not uniform across the lattice. This can be particularly important in Penning trap realizations where the presence of an…

Quantum Physics · Physics 2015-10-14 A. Khan , B. Yoshimura , J. K. Freericks

Spin-dipole mediated interactions between tightly confined metastable helium atoms couple the spin-polarized quintet ${}^{5}\Sigma^{+}_{g}$ state to the singlet ${}^{1}\Sigma^{+}_{g}$ state from which autoionization is highly probable,…

Atomic Physics · Physics 2009-11-13 Timothy J. Beams , Ian B. Whittingham , Gillian Peach

The influence of electron-electron Coulomb repulsion on nonsequential double ionization of rare-gas atoms is investigated. Several variants of the quantum-mechanical transition amplitude are evaluated that differ by the form of the…

Atomic Physics · Physics 2007-05-23 C. Figueira de Morisson Faria , X. Liu , H. Schomerus , W. Becker

We have prepared the internal states of two trapped ions in both the Bell-like singlet and triplet entangled states. In contrast to all other experiments with entangled states of either massive particles or photons, we do this in a…

We propose the cyclotron state retrieval of an electron trapped in a Penning trap by using different measurement schemes based on suitable modifications of the applied electromagnetic fields and exploiting the axial degree of freedom as a…

Quantum Physics · Physics 2009-10-30 Stefano Mancini , Paolo Tombesi

We implement a two-qubit entangling M{\o}lmer-S{\o}rensen interaction by transporting two co-trapped $^{40}\mathrm{Ca}^{+}$ ions through a stationary, bichromatic optical beam within a surface-electrode Paul trap. We describe a procedure…

Quantum Physics · Physics 2022-02-02 Holly N. Tinkey , Craig R. Clark , Brian C. Sawyer , Kenton R. Brown

We report the laser cooling of a single $^{40}\text{Ca}^+$ ion in a Penning trap to the motional ground state in one dimension. Cooling is performed in the strong binding limit on the 729-nm electric quadrupole $S_{1/2}\leftrightarrow…

Atomic Physics · Physics 2016-04-13 J. F. Goodwin , G. Stutter , R. C. Thompson , D. M. Segal

In this paper we develop a unified framework to study the coherent control of trapped ions subject to state-dependent forces. Taking different limits in our theory, we can reproduce two different designs of a two-qubit quantum gate --the…

Quantum Physics · Physics 2007-05-23 J. J. Garcia-Ripoll , P. Zoller , J. I. Cirac

We have conceived, built, and operated a cryogenic Penning trap with an electrically conducting yet optically transparent solid electrode. The trap, dedicated to spectroscopy and imaging of confined particles under large solid angles is of…

Atomic Physics · Physics 2018-02-12 M. Wiesel , G. Birkl , M. S. Ebrahimi , A. Martin , W. Quint , N. Stallkamp , M. Vogel

The spin magnetic moment of a single proton in a cryogenic Penning trap was coupled to the particle's axial motion with a superimposed magnetic bottle. Jumps in the oscillation frequency indicate spin-flips and were identified using a…

Ion trap systems are a leading platform for large scale quantum computers. Trapped ion qubit crystals are fully-connected and reconfigurable, owing to their long range Coulomb interaction that can be modulated with external optical forces.…

We present analytic self-similar or traveling wave solutions for a one-dimensional coupled system of continuity, compressible Euler and heat conduction equations. Different kind of equation of states are investigated. In certain forms of…

Mathematical Physics · Physics 2014-02-21 Imre Ferenc Barna , Laszlo Matyas

We describe a method to perform a single quantum measurement of an arbitrary observable of a single ion moving in a harmonic potential. We illustrate the measurement procedure with explicit examples, namely the position and phase…

Quantum Physics · Physics 2007-05-23 S. A. Gardiner , J. I. Cirac , P. Zoller

Trapped ions offer a pristine platform for quantum computation and simulation, but improving their coherence remains a crucial challenge. Here, we propose and analyze a new strategy to enhance the coherent interactions in trapped ion…

Quantum Physics · Physics 2019-01-30 Wenchao Ge , Brian Sawyer , Joe Britton , Kurt Jacobs , John Bollinger , Michael Foss-Feig

We demonstrate a spatial-imaging thermometry technique for ions in a one-dimensional Coulomb crystal by relating their imaged spatial extent along the linear radiofrequency ion trap axis to normal modes of vibration of coupled oscillators…

Atomic Physics · Physics 2016-02-11 V. Rajagopal , J. P. Marler , M. G. Kokish , B. C. Odom

We describe the properties of a pair of ultracold bosonic atoms in a one-dimensional harmonic trapping potential with a tunable zero-ranged barrier at the trap centre. The full characterisation of the ground state is done by calculating the…

Quantum Physics · Physics 2009-11-13 D. S. Murphy , J. F. McCann , J. Goold , Th. Busch

With a semiclassical quasi-static model we achieve an insight into the complex dynamics of two correlated electrons under the combined influence of a two-center Coulomb potential and an intense laser field. The model calculation is able to…

Atomic and Molecular Clusters · Physics 2009-11-13 J. Liu , D. F. Ye , J. Chen , X. liu

Trapping molecular ions that have been sympathetically cooled with laser-cooled atomic ions is a useful platform for exploring cold ion chemistry. We designed and characterized a new experimental apparatus for probing chemical reaction…

Instrumentation and Detectors · Physics 2019-01-15 Philipp C. Schmid , James Greenberg , Mikhail I. Miller , Kevin Loeffler , Heather J. Lewandowski