| Electromagnetic Trap Properties | |
| Summary of Trap Properties | p. 3 |
| Trapping Principles in Pant Traps | p. 3 |
| General Principles | p. 5 |
| Potential Depth | p. 7 |
| Motional Spectrum | p. 8 |
| Optimum Trapping Conditions | p. 8 |
| Storage Time | p. 9 |
| Ion Density Distribution | p. 10 |
| Storage Capability | p. 10 |
| Paul Trap Imperfections | p. 11 |
| Trapping Principles in Penning Traps | p. 13 |
| Theory of the Ideal Penning Trap | p. 13 |
| Motional Spectrum in Penning Traps | p. 15 |
| Penning Trap Imperfections | p. 16 |
| Storage Time | p. 18 |
| Storage Capability | p. 20 |
| Spatial Distribution | p. 20 |
| Trap Techniques | p. 21 |
| Trap Loading | p. 21 |
| Trapped Particle Detection | p. 23 |
| Ion Cooling Techniques | p. 28 |
| Buffer Gas Cooling | p. 28 |
| Resistive Cooling | p. 29 |
| Laser Cooling | p. 30 |
| Radiative Cooling | p. 33 |
| Mass Spectrometry | |
| Mass Spectrometry Using Paul Traps | p. 37 |
| The Quadrupole Ion Trap as a Mass Spectrometer | p. 40 |
| The ôMass Instability Methodö of Detection | p. 41 |
| Sources of Mass Error in Ion Ejection Methods | p. 44 |
| Nonlinear Resonances in Imperfect Quadrupole Trap | p. 44 |
| Quadrupole Time-of-Flight Spectrometer | p. 46 |
| Tandem Quadrupole Mass Spectrometers | p. 48 |
| Tandem Quadrupole Fourier Transform Spectrometer | p. 50 |
| Silicon-Based Quadrupole Mass Spectrometers | p. 52 |
| Mass Spectroscopy in Penning Trap | p. 55 |
| Systematic Frequency Shifts | p. 55 |
| Electric Field Imperfections | p. 55 |
| Magnetic Field Imperfections | p. 57 |
| Misalignements and Trap Ellipticity | p. 57 |
| Image Charges | p. 58 |
| Magnetic Field Fluctuations | p. 58 |
| Observation of Motional Resonances | p. 60 |
| Nondestructive Observation | p. 60 |
| Destructive Observation | p. 63 |
| Line Shape of Motional Resonances | p. 66 |
| Nondestructive Detection | p. 66 |
| Destructive Detection | p. 68 |
| Experimental Procedures | p. 72 |
| Reference Ions | p. 73 |
| Selected Results | p. 76 |
| Stable and Long Lived Isotopes | p. 77 |
| Short-Lived Isotopes | p. 79 |
| Spectroscopy with Trapped Charged Particles | |
| Microwave Spectroscopy | p. 85 |
| Zeeman Spectroscopy | p. 85 |
| g-Factor of the Free Electron | p. 86 |
| g-Factor of the Bound Electron | p. 95 |
| Atomic g-Factor | p. 101 |
| Nuclear gI-Factor | p. 103 |
| Hyperfine Structures in the Ground States | p. 105 |
| Summary of HFS Theory | p. 105 |
| Early Experiments | p. 107 |
| Laser Microwave Double Resonance Spectroscopy | p. 113 |
| Microwave Atomic Clocks | p. 118 |
| Definition of the Unit of Time | p. 118 |
| Trapped Ion Microwave Standards | p. 121 |
| Optical Spectroscopy | p. 129 |
| Optical Frequency Standards | p. 129 |
| Theoretical Limit to Laser Spectral Purity | p. 129 |
| Laser Stabilization | p. 131 |
| Single Ion Optical Frequency Standards | p. 133 |
| Correction of Systematic Errors | p. 147 |
| Optical Frequency Measurement | p. 152 |
| Progress in Standards | p. 157 |
| Lifetime Studies in Traps | p. 161 |
| Radiative Lifetimes | p. 161 |
| Experimental Methods of Lifetime Measurement | p. 162 |
| Systematic Effects on the Lifetimes | p. 172 |
| Quenching Collisions | p. 176 |
| Quantum Topics | |
| Quantum Effects in Charged Particle Traps | p. 179 |
| Quantum Jumps | p. 180 |
| The Quantum Zeno Effect | p. 180 |
| Entanglement of Trapped Ion States | p. 183 |
| Entanglement of Two-Trapped Ions | p. 184 |
| Entanglement of Three-Trapped Ions | p. 186 |
| Multi-ion Entanglement | p. 187 |
| Trapped Ion-Photon Entanglement | p. 189 |
| Lifetime of Entangled States | p. 190 |
| Quantum Teleportation | p. 191 |
| Sources of Decoherence | p. 195 |
| Decoherence Reservoirs | p. 195 |
| Motional Decoherence | p. 196 |
| Collisions with Background Gas | p. 199 |
| Internal State Decoherence | p. 200 |
| Induced Decoherence | p. 202 |
| Control of Thermal Decoherence | p. 203 |
| Quantum Computing with Trapped Charged Particles | p. 207 |
| Background Fundamentals | p. 208 |
| Quantum Bits: Qubits | p. 208 |
| Some History | p. 210 |
| Possible Alternatives: The DiVincenzo Criteria | p. 212 |
| Ion Traps for Quantum Computing | p. 215 |
| Trap Electrode Design | p. 215 |
| Choice of Ion | p. 216 |
| Qubits with Trapped Ions | p. 219 |
| Quantum Registers: Qregister | p. 220 |
| Initialisation of the Qubits | p. 223 |
| Creation of Nonclassical States | p. 226 |
| Fock States | p. 226 |
| Coherent States | p. 227 |
| Schrödinger Cat States | p. 227 |
| Quantum Logic Gates | p. 228 |
| Qubit Entanglement | p. 231 |
| Quantum Information Processing | p. 232 |
| Speed of Operation | p. 234 |
| Nonclassical State Reconstruction | p. 235 |
| Qubit Decoherence | p. 239 |
| Scalability | p. 240 |
| Penning Trap as Quantum Information Processor | p. 245 |
| Computing with Electrons | p. 245 |
| Linear Multi-trap Processor | p. 245 |
| Planar Multi-trap Processor | p. 247 |
| Expected Performance | p. 254 |
| Future Developments | p. 255 |
| References | p. 257 |
| Index | p. 271 |
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