Quantum and Atom Optics
Posted here are my notes for a course in quantum and atom
optics at the graduate level.
I will update these notes regularly and put corrections in
as I find them, and you can always contact me
if you have corrections or comments.
You can download the notes here as one big file: (pdf, many MB).
Instructors may contact me for a version with
solutions to problems included.
If you use these notes for your class, please let me know!
Topics Covered:

Classical LightAtom Interactions: Polarizability, Lorentz Model, Oscillator Strength, Atom Optics, Dipole Force, Radiation Pressure, Laser Cooling, AtomMirror Interaction, AtomAtom Interaction (superradience)

Coherence: WienerKhinchin Theorem, Optical WienerKhinchin Theorem, Visibility, Coherence Time, SecondOrder Coherence, HanburyBrown–Twiss Experiment

Rate Equations: Quantization, Relations between Einstein Coefficients, Absorption Coefficient, Saturation

Quantum State: Density Operator, Purity, Unitary TimeEvolution Operator, Heisenberg and Interaction Pictures, Wigner Distribution, Weyl Correspondence, Moyal Bracket, Husimi Function, Entanglement, Cloning, PeresHorodecki Criterion (and Suffiency for Gaussian States), Indistinguishability, Exchange Interaction, Church of the Larger Hilbert Space

TwoLevel Atom: Parity, RotatingWave Approximation, Rabi Flopping, Dressed States, Adiabatic Passage and LandauZener Crossings, Bloch Sphere, Ramsey Fringes, Spin and Photon Echoes, Optical Bloch Equations, Resolvent, Torrey's Solutions, Classical Limit, RateEquation Limit, Saturation Intensity, Cross Section, Power Broadening, Coherent and Incoherent Scattering, Quantum Regression Theorem, Mollow Triplet, Mollow Probe Absorption Spectrum, Antibunching, LambDip Spectroscopy, Radiation Pressure, Dipole Force, Adiabatic Approximation, Bragg Scattering, FokkerPlanck Equation, Optical Force Fluctuations, Doppler Limit, BlochSiegert Shift

ThreeLevel Atom: Stimulated Raman Effect, Raman Cooling, Atom Interferometry, Population Trapping, VSCPT, Electromagnetically Induced Transparency, Stimulated Raman Adiabatic Passage (STIRAP), Quantum Beats, SteadyState Quantum Beats

Field Quantization: Hamiltonian Structure, SingleMode Quantization, ManyMode Quantization, Helmholtz Theorem, Transverse Delta Function, Field Commutators

AtomField Interaction: Lorentz Force, Minimal Coupling, PowerZienau Transformation, AharonovBohm Effect

JaynesCummings Model and Cavity QED: Atom Coupled to a Single Field Mode, Dynamics, Collapses and Revivals, Dressed States, Vacuum Rabi Doublet, Photon Blockade, AtomPhoton Molecule, Cavity Damping and Pumping

Spontaneous Emission: WeisskopfWigner Model, FineStructure Degeneracy, Master Equation, Nonexponential Decay

CasimirPolder Potential: Renormalization, ThomasReicheKuhn Sum Rule, Asymptotic Behavior, ExcitedLevel Shifts and Classical Antenna Behavior, PowerZienau Transformation in Half Space, CoulombGauge Calculation, Lamb Shift