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Advances in atomic, molecular, and optical physics

Quantum Measurements and New Concepts for Experiments with Trapped Ions

Ch. Wunderlich, Ch. Balzer

Published Jan 1, 2003• 0 citations
Publisher
DOI
10.1016/s1049-250x(03)80006-x

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Alphatrap is a Penning-trap experiment aiming for the test of bound-state quantum electrodynamics (QED) by measuring the g-factor of electrons bound in highly charged ions up to hydrogen-like 208Pb81+. The high atomic number Z allows a test of boundstate QED under highest field strengths. Cold ions are necessary for high-precision measurements revealing the small additional effect of QED. As a novel development, laser cooling of beryllium ions will be used to sympathetically cool highly charged ions. The lower achievable temperatures are expected to further increase the precision of the measurement. Additionally, new measurement schemes such as simultaneous g-factor measurements on Coulomb crystallized ion pairs become feasible. In the context of this thesis, a concept for implementation of laser cooling at the Alphatrap experiment using 313nm light was developed. The experiment specific requirements on laser cooling in a Penning trap and sympathetic cooling are discussed and the results of the commissioning of the laser system are presented.

•Jan 1, 2017•0 citations
Experiments with individual trapped ions are ideally suited to investigate fundamental issues of quantum mechanics such as the measurement process. At the same time electrodynamically trapped ions have been used with great success to demonstrate quantum logic operations and are a candidate for scalable quantum computing. In this article a brief introduction is given to the basic steps that constitute a quantum measurement; in particular, measurements on single quantum systems are considered. Then experiments with single Yb+ are reviewed demonstrating the quantum Zeno paradox, as well as an experiment where an adaptive algorithm for quantum state estimation of qubits was implemented. In the last section of this article -- devoted to experiments and new ideas related to quantum information processing (QIP) with trapped ions -- the realization of various quantum channels using a hyperfine qubit of Yb+ is briefly discussed. Then a concept for QIP with trapped ions is reviewed where rf or microwave radiation is used instead of laser light for coherent manipulation of a collection of ions. In a suitably modified trap the ions form an artificial ion "molecule" to which the techniques developed in nuclear magnetic resonance and electron spin resonance experiments can be directly applied. Finally, coherent excitation of optical electric quadrupole transitions in Yb+ and Ba+ is reported. In addition, robust Raman cooling of a pair of Ba+ ions is reviewed.
Trapped and laser-cooled ions are increasingly used for a variety of modern high-precision experiments, for frequency standard applications, and for quantum information processing. Therefore laser cooling of trapped ions is reviewed, the current state of the art is reported, and several new cooling techniques are outlined. The principles of ion trapping and the basic concepts of laser cooling for trapped atoms are introduced. The underlying physical mechanisms are presented, and basic experiments are briefly sketched. Particular attention is paid to recent progress by elucidating several milestone experiments. In addition, a number of special cooling techniques pertaining to trapped ions are reviewed; open questions and future research lines are indicated.
Alphatrap is a Penning-trap experiment aiming for the test of bound-state quantum electrodynamics (QED) by measuring the g-factor of electrons bound in highly charged ions up to hydrogen-like 208Pb81+. The high atomic number Z allows a test of boundstate QED under highest field strengths. Cold ions are necessary for high-precision measurements revealing the small additional effect of QED. As a novel development, laser cooling of beryllium ions will be used to sympathetically cool highly charged ions. The lower achievable temperatures are expected to further increase the precision of the measurement. Additionally, new measurement schemes such as simultaneous g-factor measurements on Coulomb crystallized ion pairs become feasible. In the context of this thesis, a concept for implementation of laser cooling at the Alphatrap experiment using 313nm light was developed. The experiment specific requirements on laser cooling in a Penning trap and sympathetic cooling are discussed and the results of the commissioning of the laser system are presented.