Physics With Trapped Charged Particles A Graduate Course With Problems And Solutions

At Les Houches in January 2015, experts in the field of particle trapping came together to discuss the fundamental physics of traps and the different types of applications. This textbook collates the lectures delivered there; the Second Winter School on Physics with Trapped Charged Particles.Taken as a whole, the book gives an overview of why traps for charged particles are important, how they work, their special features and limitations, and their application in areas such as precision measurements, mass spectrometry, optical clocks, plasma physics, antihydrogen creation, quantum simulation and quantum information processing. Chapters from various world experts include those on the basic properties of Penning traps, RF traps and particle accelerators, as well as those covering important practical aspects such as vacuum systems, detection techniques, and different types of particle cooling including laser cooling. Finally, individual chapters deal with the different areas of application listed above.Each chapter is complemented by fully worked problems, making Physics with Trapped Charged Particles perfect for advanced undergraduate and postgraduate students new to this topic.

At Les Houches in January 2015, experts in the field of charged particle trapping came together for the Second Winter School on Physics with Trapped Charged Particles. This textbook collates the lectures delivered there, covering the fundamental physics of particle traps and the different types of applications of these devices. Taken as a whole, the book gives an overview of why traps for charged particles are important, how they work, their special features and limitations, and their application in areas such as precision measurements, mass spectrometry, optical clocks, plasma physics, antihydrogen creation, quantum simulation and quantum information processing. Chapters from various world experts include those on the basic properties of Penning traps and RF traps, as well as those covering important practical aspects such as vacuum systems, detection techniques, and different types of particle cooling, including laser cooling. Each individual chapter provides information and guidance on the application of the above methods. Additionally, each chapter is complemented by fully worked problems and solutions, making Trapped Charged Particles perfect for advanced undergraduate and postgraduate students new to this topic. Contents:Penning TrapsRadiofrequency TrapsThe Guiding Center ApproximationToroidal SystemsUltrahigh Vacuum for Trapped IonsLaser Cooling Techniques Applicable to Trapped IonsNon-Laser Cooling TechniquesNumerical Simulations of Ion Cloud DynamicsPlasmas in Penning TrapsPlasma ModesRotating Wall Technique and Centrifugal SeparationCorrelations in Trapped PlasmaAutoresonanceAntihydrogen PhysicsIon Coulomb Crystals and Their ApplicationsCold Molecular Ions in TrapsPrecise Tests of Fundamental Symmetries with Trapped IonsTrapped-Ion Optical Frequency Standards Readership: Advanced undergraduate and postgraduate students studying the field of trapped charged particles.

This book is a collection of articles on Physics with Trapped Charged Particles by speakers at the Les Houches Winter School. The articles cover all types of physics with charged particles, and are aimed at introducing the basic issues at hand, as well as the latest developments in the field. It is appropriate for PhD students and early career researchers, or interested parties new to the area.

Storageandcoolingtechniquesforchargedparticlesgainmoreandmoreimportance in various areas of modern science. They developed into a universal tool especially when used for precision measurements. For this purpose, there are mainly two types ofiontrapsinuse:radiofrequency quadrupole (Paul)trapswhichuseatime-varying quadrupolar electric ?eld applied to the electrodes for con?nement and Penning traps where a superposition of a homogeneous magnetic ?eld with a weak el- trostatic quadrupolar ?eld is used. Already the very ?rst experiments in ion traps, performed by their inventors Wolfgang Paul and Hans Dehmelt, paved the way for astonishingly precise measurements of fundamental quantities like the electron and positron g-factors and the ?ne-structure constant ?. Their work was honored with the Nobel Prize in physics for “the development of the ion trap technique” in 1989. Sincethenmanyexperimental physicistsworldwidehavebeenusinganddeveloping different kinds of ion traps. Today, ion traps are applied widely for instance in mass spectrometry, metrology, plasma physics, molecular and cluster physics, quantum computing, atomic and nuclear physics as well as in chemistry. Precise investigations are able to link measurable quantities to fundamental - pects of physics. Due to the achievable precision, ion traps have been used for this subjectandattractedaconferenceseries“TrappedChargedParticlesandFundam- tal Interactions.” Along the main idea of that conference we organized a Heraeus Winter School that took place in Hirschegg, Austria, in spring 2006. Inspired by the success and the interest from the students we planned a book that should contain the key components of the school: interesting, introductory and up-to-date lectures connected with ion traps.

This book provides an introduction and guide to modern advances in charged particle (and antiparticle) confinement by electromagnetic fields. Confinement in different trap geometries, the influence of trap imperfections, classical and quantum mechanical description of the trapped particle motion, different methods of ion cooling to low temperatures, and non-neutral plasma properties (including Coulomb crystals) are the main subjects. They form the basis of such applications of charged particle traps as high-resolution optical and microwave spectroscopy, mass spectrometry, atomic clocks, and, potentially, quantum computing.

The September 1998 conference presented the latest research on charged particle trapping and related fundamental physics, including selected topics in neutral particle trapping. The 55 lectures in this volume report on precision spectroscopy, mass spectrometry, weak interaction studies, storage ring