| Trapped Ions and Cavity QED | |
| Generation of Fock States in the One-Atom Maser | p. 3 |
| Introduction | p. 3 |
| The One-Atom Maser and the Generation of Fock-States Using Trapping States | p. 4 |
| Dynamical Preparation of Number States in a Cavity | p. 7 |
| Preparation of Fock States on Demand | p. 9 |
| Conclusion | p. 12 |
| References | p. 13 |
| Coherent Manipulation of Two Trapped Ions with Bichromatic Light | p. 14 |
| Introduction | p. 14 |
| Dispersive Interaction | p. 15 |
| The model | p. 15 |
| Bell states | p. 18 |
| Reliable teleportation | p. 19 |
| Wigner function of the collective motion | p. 21 |
| Selective Interaction | p. 22 |
| Resonant Interaction | p. 25 |
| Conditional vibrational displacement | p. 25 |
| Motional Schrödinger's cat states | p. 26 |
| Motional squeezed states | p. 27 |
| Conclusions | p. 27 |
| Acknowledgments | p. 27 |
| References | p. 28 |
| Quantum Nondemolition Measurement and Quantum State Manipulation in Two Dimensional Trapped Ion | p. 29 |
| Introduction | p. 29 |
| Description of the Model | p. 31 |
| Properties of the Model | p. 32 |
| QND Measurement of Vibrational Quanta | p. 35 |
| Quantum State Manipulation | p. 36 |
| Generation of a bimodal Fock state | p. 36 |
| Generation of entangled superposition of Fock states | p. 38 |
| Generation of a pair coherent state | p. 39 |
| Conclusion | p. 41 |
| References | p. 41 |
| Phonon-Photon Translation with a Trapped Ion in a Cavity | p. 43 |
| Introduction | p. 43 |
| The Model for a Phonon-Photon Translator | p. 44 |
| Information Transfer | p. 46 |
| Numerical Simulation | p. 49 |
| Discussion | p. 52 |
| The Model for an Ion Trap Laser Producing Transfer of Squeezing | p. 53 |
| Semiclassical Aproximation | p. 56 |
| Numerical Results | p. 58 |
| References | p. 61 |
| Quantum Interference, Entanglement, Decoherence and Quantum Computing | |
| Decoherence, Pointer Engineering and Quantum State Protection | p. 65 |
| Introduction | p. 65 |
| Strategy for Quantum State Protection | p. 66 |
| Application to a Trapped Ion | p. 67 |
| Hamiltonian of the system | p. 67 |
| Master equation for the center-of-mass motion | p. 68 |
| Effect of random fields | p. 70 |
| Protection of superpositions of Fock states | p. 72 |
| Protection of a qubit | p. 73 |
| Protection of approximate phase eigenstates | p. 74 |
| Superpositions of coherent states | p. 74 |
| Protection of squeezed states | p. 76 |
| Conclusion | p. 76 |
| References | p. 78 |
| High Efficiency in Detection of Photonic Qubits | p. 80 |
| Introduction | p. 80 |
| Mode Structure of a System of Two-Cavities | p. 81 |
| Photon Wavepacket Absorption | p. 84 |
| Generation of Photonic Qubits with Three-Level A Atoms | p. 87 |
| Summary and Further Applications | p. 92 |
| References | p. 94 |
| Macroscopic Entanglement and Relative Phase | p. 95 |
| Introduction | p. 95 |
| Single Histories with Arbitrary Detection Efficiency | p. 96 |
| Perfect detection efficiency | p. 96 |
| Imperfect detection efficiency | p. 98 |
| Single Boson Mode | p. 98 |
| Arbitrary state | p. 98 |
| Fixed amplitude | p. 100 |
| Master Equation for Two Boson Modes | p. 101 |
| Two representations | p. 101 |
| Correlations created by observation | p. 102 |
| Initial States with Fixed Amplitudes | p. 103 |
| Separation of total number and relative phase | p. 103 |
| Coherent states | p. 105 |
| Uniform phase distribution | p. 105 |
| Conclusions | p. 108 |
| References | p. 109 |
| p. 110 |
| Introduction and Brief Summary of Decoherence Theory | p. 110 |
| Dynamical Casimir Effect | p. 114 |
| Decoherence and the Casimir Effect | p. 116 |
| Conclusion | p. 122 |
| References | p. 123 |
| Control of Cold Atomic Collisions by Multiparticle Entanglement and a Modified Vacuum in Cavity QED | p. 125 |
| Introduction | p. 125 |
| Cold Collisions and Cavity QED | p. 126 |
| Radiative escape collisions | p. 126 |
| CavityQED | p. 128 |
| Collisional Dynamics in a Cavity | p. 129 |
| Multiparticle entanglement | p. 129 |
| Control of cold collisions by a modified vacuum | p. 131 |
| Collective decay rate | p. 132 |
| Trap-loss probabilities | p. 134 |
| Orders of magnitude | p. 135 |
| Conclusion | p. 136 |
| References | p. 136 |
| Decoherence Evolution of a Harmonic Oscillator | p. 138 |
| Introduction | p. 138 |
| Stable Quantum States | p. 139 |
| The Onset of Unstabilities | p. 141 |
| Analytical Solutions for the Linear Entropy | p. 145 |
| A reservoir at a finite temperature | p. 150 |
| Finite temperature entropy for a coherent state | p. 151 |
| Finite temperature entropy for a Schrodinger cat | p. 153 |
| Conclusions | p. 155 |
| Acknowledgments | p. 156 |
| References | p. 156 |
| Non-linear Optics, Matter Waves | |
| Atomic Squeezing and Entanglement from Bose-Einstein Condensates | p. 161 |
| Introduction | p. 161 |
| Entangled Atomic Beams | p. 162 |
| Dicke States | p. 167 |
| Atom-Photon Entanglement | p. 171 |
| Conclusion | p. 175 |
| References | p. 176 |
| Atomic Coherence Effects in Doppler-Broadened Three-Level Systems with Standing-Wave Drive | p. 177 |
| Introduction | p. 177 |
| Semiclassical Density Matrix Analysis | p. 180 |
| Dressed-Atom Analysis | p. 182 |
| Electromagnetically Induced Transparency | p. 185 |
| Amplification Without Inversion | p. 188 |
| References | p. 193 |
| Frequency Up-Conversion to the Vacuum Ultra-Violet in Coherently Prepared Media | p. 195 |
| Introduction | p. 195 |
| Review of Previous Work on EIT Enhanced Non-linear Mixing | p. 199 |
| Theoretical Treatment of EIT Enhanced Four-Wave Mixing in Kr | p. 201 |
| Experimental Investgation of EIT Enhanced Four-Wave Mixing in Kr | p. 203 |
| Experimental system and results | p. 203 |
| Discussion | p. 206 |
| Further Developments and Conclusion | p. 209 |
| References | p. 210 |
| Optical Lattice Dynamics and Scattering Processes Resulting from Dipole-Dipole Interaction | p. 212 |
| Introduction | p. 212 |
| Atomic States in Optical Lattices | p. 213 |
| The Dipole-Dipole Interaction in an Optical Lattice | p. 217 |
| Hopping Within the Wannier Representation | p. 219 |
| Atom-Atom Diffraction in 1D Optical Lattices | p. 220 |
| Summary and Conclusions | p. 225 |
| References | p. 225 |
| Quantum Optics and Applications Time Delay and Tunneling | p. 229 |
| Introduction | p. 229 |
| The Eisenbud-Wigner Time Delay | p. 229 |
| Tunneling Time as Group Delay | p. 230 |
| Critique of tunneling time as group delay | p. 231 |
| The Larmor Times | p. 231 |
| Stationary Dwell Time | p. 232 |
| Remarks | p. 233 |
| Other Approaches to Tunneling Time | p. 233 |
| Modulation of the barrier or of the incident wave | p. 233 |
| Conditional dwell time | p. 233 |
| Path integrals | p. 234 |
| Critique of the "Feynman" approach | p. 234 |
| Average Wave Packet Dwell Time | p. 235 |
| One-Dimensional Quantum Scattering Theory | p. 236 |
| The time delay matrix | p. 237 |
| New basis functions | p. 237 |
| The Average One-Dimensional Wave Packet Dwell Time | p. 238 |
| Average one-dimensional dwell time for a symmetric potential | p. 239 |
| Rectangular Potential | p. 240 |
| Average dwell time in tunneling | p. 240 |
| Main Problems with Previous Treatments | p. 241 |
| Ten Good Features of the Average Dwell Time | p. 241 |
| References | p. 242 |
| Giant Intensity-Intensity Correlations and Quantum Interference in a Driven Three-Level Atom | p. 244 |
| Introduction | p. 244 |
| The Three-Level Model: Both Transitions Excited | p. 246 |
| Second-order correlation functions | p. 247 |
| Distinguishable photons | p. 249 |
| Indistinguishable photons | p. 250 |
| Interpretation of the results | p. 251 |
| Single-Transition Excitation | p. 253 |
| Superposition dressed states | p. 255 |
| Conclusions | p. 259 |
| References | p. 259 |
| A Cavity QED Test of Quantum Mechanics | p. 262 |
| Introduction | p. 262 |
| The Eigenstructure of the Driven Two-Level Atom in a Cavity | p. 264 |
| Master Equation of the System | p. 266 |
| The Autler-Townes Absorption Spectrum | p. 268 |
| Population of the undriven level | p. 268 |
| Population of the dressed states | p. 270 |
| Autler-Townes Spectra | p. 271 |
| Fixed number of photons | p. 271 |
| Numerical results | p. 273 |
| Summary | p. 277 |
| References | p. 277 |
| The Method of Quantum Jumps and Quantum White | p. 279 |
| Introduction | p. 279 |
| The Master Equation | p. 281 |
| The Quantum Jump Method | p. 281 |
| Quantum White Noise Integrals | p. 285 |
| The Two Level Atom | p. 286 |
| The Oscillator in an Atomic Heat Bath | p. 290 |
| References | p. 293 |
| Quantum Orbits in Intense-Laser Atom Physics | p. 294 |
| Introduction | p. 294 |
| The S Matrix for Ionization | p. 296 |
| General formalism | p. 296 |
| Approximation by quantum orbits | p. 299 |
| Quantum orbits and the simple-man model | p. 300 |
| Results | p. 302 |
| Spectra for linear polarization | p. 302 |
| Spectra for elliptical polarization | p. 302 |
| Angular distributions for elliptical polarization | p. 303 |
| Comparison to Experimental Data and Conclusions | p. 307 |
| References | p. 308 |
| Micromaser Dynamics | p. 310 |
| Introduction and Background | p. 310 |
| The Micromaser | p. 316 |
| The Rotating and the Counter-rotating Wave Approximations | p. 321 |
| Diagonalization of the Rabi Hamiltonian by Continued Fractions | p. 323 |
| Transition Probabilities | p. 325 |
| The Steady-State Photon Distribution | p. 327 |
| The Atomic Inversion | p. 329 |
| Trapping States | p. 332 |
| Conclusions | p. 335 |
| References | p. 335 |
| What Is a Quantized Mode of a Leaky Cavity? | p. 338 |
| Introduction | p. 338 |
| Open Systems in Quantum Mechanics | p. 339 |
| Quantum dissipation and the classical limit | p. 340 |
| What Is a Mode of a Leaky Cavity? | p. 342 |
| The classical answer | p. 342 |
| Quasimodes in the quantum theory | p. 344 |
| A Simple Model of a Leaky Cavity | p. 346 |
| Fox-Li Modes as Natural Modes | p. 347 |
| Sturm-Liouville with a Twist | p. 348 |
| Quantum Theory | p. 350 |
| Conclusions | p. 351 |
| References | p. 352 |
| The Quantum Jumps Approach for Infinitely Many States | p. 355 |
| Introduction | p. 355 |
| The Model | p. 358 |
| The stochastic scheme | p. 358 |
| Examples | p. 360 |
| Case of Infinitely Many States | p. 362 |
| Equivalence with the Master Equation | p. 366 |
| Decomposition of the generator L into a jump and a damping parts | p. 366 |
| Average over quantum trajectories | p. 367 |
| Comments | p. 369 |
| Stochastic Hamiltonians | p. 369 |
| Comparison with Other Stochastic Schemes | p. 371 |
| Quantum jump schemes | p. 371 |
| Table of Contents provided by Publisher. All Rights Reserved. |