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Springer theses

Transportable Paul Trap for Isolated Micro-targets in Vacuum

Tobias Ostermayr

Published Jan 1, 2019• 0 citations
Publisher

Abstract

In this section, an introduction to electrodynamic quadrupole traps is given and the experimental realization is presented. The theoretical part is mostly based on textbook knowledge from Major et al. (Charged particle traps, vol 37. Springer, Heidelberg, 2005 [ 6 ]), Werth et al. (Charged particle traps II, vol 54. Springer, Heidelberg, 2009 [ 7 ]).

DOI
10.1007/978-3-030-22208-6_4

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•Jan 1, 2022•0 citations
In this section, an introduction to electrodynamic quadrupole traps is given and the experimental realization is presented. The theoretical part is mostly based on textbook knowledge from Major et al. (Charged particle traps, vol 37. Springer, Heidelberg, 2005 [ 6 ]), Werth et al. (Charged particle traps II, vol 54. Springer, Heidelberg, 2009 [ 7 ]).
In the experiments involving trapped ions, application of a cooling procedure is required. The optical Doppler scheme is one of the most commonly used methods for slowing down the ions motion. In this paper we present an optical system sufficient for cooling calcium ions in such scheme. The system allows also for optical detection of the trapped ions. Full Text: PDF ReferencesF. Major, V. Gheorghe, and G. Werth, Charged Particle traps, Physics and Techniques of Charged Particle Field Confinement (Springer 2005). DirectLink Ł. Kłosowski, M. Piwiński, and M. Drewsen, "Integral electron impact ionization cross section of molecules through Coulomb crystallization of the product ions", J. Phys. Conf. Ser. 635, 072003 (2015) CrossRef D. J. Wineland and Wayne M. Itano, "Laser cooling of atoms", Phys. Rev. A 20, 1521 (1979) CrossRef R. Drever et al., "Laser phase and frequency stabilization using an optical resonator", Appl. Phys. B 31, 97 (1983) CrossRef P. W. Smith, "Mode-locking of lasers", Proceedings of the IEEE 58, 1342 (1970) CrossRef S. Stenholm, "The semiclassical theory of laser cooling", Rev. Mod. Phys. 58, 699 (1986) CrossRef
We present a comprehensive phase-space treatment of the motion of charged particles in electrodynamic traps. Focusing on five-wire surface-electrode Paul traps, we study the details of integrable and chaotic motion of a single ion. We introduce appropriate phase-space measures and give a universal characterization of the trap effectiveness as a function of the parameters. We rigorously derive the commonly used (time-independent) pseudopotential approximation, quantify its regime of validity, and analyze the mechanism of its breakdown within the time-dependent potential. The phase-space approach that we develop gives a general framework for describing ion dynamics in a broad variety of surface Paul traps. To probe this framework experimentally, we propose and analyze, using numerical simulations, an experiment that can be realized with an existing four-wire trap. We predict a robust experimental signature of the existence of trapping pockets within a mixed regular and chaotic phase-space structure. Intricately rich escape dynamics suggest that surface traps give access to exploring microscopic Hamiltonian transport phenomena in phase space.
Title: Simulations of dynamics of ultra-cold quantum plasma Author: Andrej Rendek Department: Department of Surface and Plasma Science Supervisor: Mgr. Michal Hejduk, Ph.D., Department of Surface and Plasma Science Abstract: We investigate the confinement of charged particles in an oscillating electromagnetic field, intending to trap electrons and calcium ions simultaneously. The theoretical part of this thesis focuses on the derivation of exact and effective potentials in a single frequency quadrupole trap. We show a general treatment of stability in such a field. Passing attained knowledge onto two-frequency trapping, which is much more suitable for confining two species with widely different charge-to-mass ratios. We follow up by studying the stability of electrons, employing computer simulations in the ideal two- frequency Paul trap. Our ambition is to identify a stable configuration minimizing electrons' temperature. We create multiple ion Coulomb crystals and examine the effect of their presence on electrons' stability. These efforts support the development of an experiment with the ambition to create and study quantum plasma. The composition of this experiment is outlined here as well. Keywords: Ion trapping, Coulomb crystal, Two frequency Paul trap