| Preface | p. xi |
| Acknowledgments | p. xiii |
| Introduction | p. 1 |
| Objective | p. 1 |
| Background | p. 1 |
| Measurables, observables, and parameters | p. 2 |
| Notation and nomenclature | p. 5 |
| Limitations of the theory | p. 7 |
| Basic references | p. 8 |
| Atoms as structured particles | p. 9 |
| Spectroscopy | p. 10 |
| Quantum states | p. 13 |
| Probabilities | p. 15 |
| Radiation | p. 19 |
| Thermal radiation; quanta | p. 19 |
| Cavities | p. 20 |
| Incoherent radiation | p. 21 |
| Laser radiation | p. 22 |
| Laser fields | p. 23 |
| Field vectors | p. 31 |
| Laser beams | p. 40 |
| Photons | p. 41 |
| Field restrictions | p. 43 |
| The laser-atom interaction | p. 44 |
| Individual atoms | p. 44 |
| Detecting excitation | p. 50 |
| The interaction energy; multipole moments | p. 52 |
| Moving atoms | p. 54 |
| Picturing quantum structure and changes | p. 57 |
| Free electrons: Ponderomotive energy | p. 57 |
| Picturing bound electrons | p. 58 |
| The Lorentz force | p. 61 |
| The wavefunction; orbitals | p. 62 |
| The statevector; Hilbert spaces | p. 66 |
| Two-state Hilbert spaces | p. 69 |
| Time-dependent statevectors | p. 73 |
| Picturing quantum transitions | p. 76 |
| Incoherence: Rate equations | p. 78 |
| Thermalized atoms; the Boltzmann equation | p. 78 |
| The radiative rate equations | p. 79 |
| The Einstein rates | p. 79 |
| The two-state rate equations | p. 81 |
| Solutions to the rate equations | p. 81 |
| Comments | p. 83 |
| Coherence: The Schrödinger equation | p. 85 |
| Essential states; effective Hamiltonians | p. 87 |
| The coupled differential equations | p. 88 |
| Classes of interaction | p. 93 |
| Classes of solutions | p. 93 |
| The time-evolution matrix; transition probabilities | p. 95 |
| Two-state coherent excitation | p. 97 |
| The basic equations | p. 97 |
| Abrupt start | p. 104 |
| The rotating-wave approximation (RWA) | p. 108 |
| Adiabatic time evolution | p. 118 |
| Comparison of excitation methods | p. 135 |
| Weak pulse: Perturbation theory | p. 137 |
| Weak resonant excitation | p. 138 |
| Pulse aftermath and frequency content | p. 138 |
| Example: Excitation despite missing frequencies | p. 139 |
| The Dirac (interaction) picture | p. 141 |
| Weak broadband radiation; transition rates | p. 142 |
| Fermi's famous Golden Rule | p. 144 |
| The vector model | p. 146 |
| The Feynman-Vernon-Hellwarth equations | p. 146 |
| Coherence loss; relaxation | p. 150 |
| Sequential pulses | p. 159 |
| Contiguous pulses | p. 159 |
| Pulse trains | p. 160 |
| Examples | p. 162 |
| Pulse pairs | p. 163 |
| Vector picture of pulse pairs | p. 165 |
| Creating dressed states | p. 167 |
| Zero-area pulses | p. 168 |
| Degeneracy | p. 171 |
| Zeeman sublevels | p. 171 |
| Radiation polarization and selection rules | p. 172 |
| The RWA with degeneracy | p. 177 |
| Optical pumping | p. 179 |
| General angular momentum | p. 181 |
| Three states | p. 186 |
| Three-state linkages | p. 186 |
| The three-state RWA | p. 188 |
| Resonant chains | p. 197 |
| Detuning | p. 201 |
| Unequal Rabi frequencies | p. 211 |
| Laser-induced continuum structure (LICS) | p. 218 |
| Raman processes | p. 222 |
| The Raman Hamiltonian | p. 222 |
| Population transfer | p. 223 |
| Explaining STIRAP | p. 230 |
| Demonstrating STIRAP | p. 235 |
| Optimizing STIRAP pulses | p. 237 |
| Two-state versions of STIRAP | p. 239 |
| Extending STIRAP | p. 243 |
| Multilevel excitation | p. 253 |
| Multiphoton and multiple-photon ionization | p. 253 |
| Coherent excitation of JV-state systems | p. 255 |
| Chains | p. 259 |
| Branches | p. 277 |
| Loops | p. 287 |
| Multilevel adiabatic time evolution | p. 292 |
| Averages and the statistical matrix (density matrix) | p. 299 |
| Ensembles and expectation values | p. 299 |
| Statistical averages | p. 300 |
| Environmental averages | p. 302 |
| Expectation values | p. 304 |
| Uncertainty relations | p. 307 |
| The density matrix | p. 308 |
| Density matrix equation of motion | p. 313 |
| Incorporating incoherent processes | p. 317 |
| Rotating coordinates | p. 321 |
| Multilevel generalizations | p. 324 |
| Systems with parts | p. 331 |
| Separability and factorization | p. 331 |
| Center of mass motion | p. 333 |
| Two parts | p. 338 |
| Correlation and entanglement | p. 343 |
| Preparing superpositions | p. 347 |
| Superposition construction | p. 347 |
| Nondegenerate states | p. 348 |
| Degenerate discrete states | p. 350 |
| Transferring superpositions | p. 351 |
| State manipulations using Householder reflections | p. 352 |
| Measuring superpositions | p. 357 |
| General remarks | p. 357 |
| Spin matrices and quantum tomography | p. 359 |
| Two-state superpositions | p. 362 |
| Analyzing multistate superpositions | p. 364 |
| Analyzing three-state superpositions | p. 366 |
| Alternative procedures | p. 368 |
| Overall phase; interferometry and cyclic dynamics | p. 370 |
| Hilbert-space rays | p. 371 |
| Parallel transport | p. 372 |
| Phase definition | p. 373 |
| Michelson interferometry | p. 374 |
| Alternative interferometry | p. 377 |
| Ramsey interferometry | p. 378 |
| Cyclic systems | p. 379 |
| Atoms affecting fields | p. 387 |
| Induced dipole moments; propagation | p. 387 |
| Single field, N= 2 | p. 389 |
| Multiple fields | p. 402 |
| Two or three fields, N = 3 | p. 403 |
| Four fields, N = 4; four-wave mixing | p. 410 |
| Steady state; susceptibility | p. 413 |
| Atoms in cavities | p. 419 |
| The cavity | p. 420 |
| Two-state atoms in a cavity | p. 423 |
| Three-state atoms in a cavity | p. 429 |
| Control and optimization | p. 435 |
| Control theory | p. 435 |
| Quantum control | p. 436 |
| Optimization | p. 439 |
| Angular momentum | p. 442 |
| Angular momentum states | p. 442 |
| Angular momentum coupling | p. 451 |
| Hyperfine linkages | p. 456 |
| The multipole interaction | p. 459 |
| The bound-particle interaction | p. 459 |
| The multipole moments | p. 462 |
| Examples | p. 464 |
| Induced moments | p. 464 |
| Irreducible tensor form | p. 465 |
| Rabi frequencies | p. 465 |
| Angular momentum selection rules | p. 466 |
| Classical radiation | p. 468 |
| The Lorentz force; Maxwell's equations | p. 468 |
| Wave equations | p. 470 |
| Frequency components | p. 476 |
| The influence of matter | p. 480 |
| Pulse-mode expansions | p. 482 |
| Quantized radiation | p. 487 |
| Field quantization | p. 488 |
| Mode fields | p. 496 |
| Photon states | p. 505 |
| The free-field radiation Hamiltonian | p. 507 |
| Interpretation of photons | p. 509 |
| Adiabatic states | p. 513 |
| Terminology | p. 513 |
| Adiabatic evolution | p. 515 |
| The Dykhne-Davis-Pechukas (DDP) formula | p. 519 |
| Dark states; the Morris-Shore transformation | p. 522 |
| The Morris-Shore transformation | p. 522 |
| Bright and dark states | p. 524 |
| Fan linkages | p. 526 |
| Chain linkages | p. 526 |
| Generalizations | p. 527 |
| Near-periodic excitation; Floquet theory | p. 528 |
| Floquet's theorem | p. 528 |
| Example: Two states | p. 530 |
| Floquet theory and the RWA | p. 531 |
| Floquet theory and the Jaynes-Cummings model | p. 531 |
| Near-periodic excitation; adiabatic Floquet theory | p. 532 |
| Example: Two states | p. 534 |
| Adiabatic Floquet energy surfaces | p. 536 |
| Transitions; spectroscopic parameters | p. 537 |
| Spectroscopic parameters | p. 537 |
| Relative transition strengths | p. 538 |
| References | p. 542 |
| Index | p. 565 |
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