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Optica Applicata

A way to the engineering of the quantum states of trapped ions - report of work in progress

Ewa Stachowska, Gustaw Szawioła, A. Buczek, Wojciech Koczorowski, Bogusław Furmann, A. Krzykowski, D Staefanska, A Walszyk, Andrzej Jarosz, Jerzy Dembczyński

Published Jan 1, 2006• 0 citations
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We propose a scheme to generate a superposition of motional coherent states with arbitrary coefficients on a line in phase space and implement a quantum controlled phase-gate for multiple trapped ions with a single standing-wave laser pulse whose carrier frequency is tuned to the ions transition. In the scheme each ion does not need to be exactly positioned at the node of the standing wave, which is very important from viewpoint of experiment. Furthermore, our scheme may allow the generation of a superposition of coherent states with large mean phonon number for a large number of trapped ions in a fast way by choosing suitable laser intensity. We show that it can also be used to generate maximally entangled states of multiple trapped ions.
Ion traps are fantastic tools to explore the world of electrons, atomic and molecular ions, or charged clusters, in the classical as well as in the quantum regime. Extremely long storage times allow probing even of single particles with very high precision. The mass selectivity of the trapping devices is exploited in many experiments, in particular for mass metrology. An overwhelming part of the experiments and ideas rely on the very high level of parameter control which is offered by the ion trap. Manipulation of individual ions and engineering of well defined quantum states are the fundamental techniques to take the experiments beyond existing frontiers and to unprecedented precision. This special issue presents state-of-the-art theory and experiments in a variety of tutorials, reviews and research papers. More than half of these contributions form a follow-up to the first workshop on Modern Applications of Trapped Ions held in Les Houches, France, in May 2008. A great number of topics is covered in atomic and molecular physics, with ion traps as a common tool. The variety of approaches is meant to make this digest a helpful resource to the whole ion trapping community. Among the contributions, four major – while still overlapping – domains can be identified. Novel ion trap design is the motor of future developments and applications. Spectacular progress has been made in the domain of quantum information processing, such as the realization of planar traps, which opens the way to large-scale quantum computation. In this issue, this enthralling subject is introduced by a tutorial and two review articles, completed by contributions on different experimental realizations. Precision measurements belong to a more traditional domain which nevertheless evolves at the forefront of research: metrology of frequencies and fundamental constants, measurements of g-factors or high-precision mass measurements are the foundations of atomic and molecular physics. The creation and investigation of cold molecular ions and clusters are among the fastest growing topics, leading to ultracold chemistry at the single-particle scale. The next edition of this meeting series will take the name of European Conference on Trapped Ions (ECTI) and will be held in the UK in 2010. We are looking forward to this event, which will offer the possibility to continue the fruitful interaction between research groups that employ ion traps in widely different contexts, and to take the next snapshot of this dynamic research area.