| Lec # | Topics | KEY DATES |
|---|---|---|
| 1 | 1. Introduction 2. Classical Molasses and Beam Slowing 2.1. The Spontaneous Light Force 2.2. 1D Optical Molasses 2.3. The Doppler Cooling Limit 2.4. Beam Slowing | |
| 2 | 2.5. Energy vs. Momentum Picture 2.6. 3D Molasses and Higher Intensity 2.7. Momentum and Spatial Diffusion | |
| 3 | 3. The QED Hamiltonian | |
| 4 | 4. Properties of Light 4.1. The Quantized Radiation Field 4.1.1. Thermal States (Chaotic Light) 4.1.2. Coherent States; Q(Alpha) Representation 4.1.3. Fluctuations, Noise, and Second Order Coherence 4.1.4. Single Photon States and the Hanbury-Brown Twiss Experiment | Assignment 1 due |
| 5 | 4.2. Squeezed States of Light 4.2.1. The Displacement and Squeeze Operators 4.2.2. Generation of Squeezed States, Classical Squeezing 4.2.3. Homodyne Detection 4.2.4. Teleportation | |
| 6 | 4.2.5. Beam Splitter and Homodyne Detection 4.2.6. Experiments with Squeezed Light | |
| 7 | 4.3. Interferometry and Entanglement 4.3.1. Gravitational Wave Detection 4.3.2. Heisenberg Limited Interferometry | |
| 8 | 4.3.3. Entanglement | Assignment 2 due |
| 9 | 5. Basic Aspects of the Interaction between Light and Atoms | |
| 10 | 5.1. Transition Amplitudes and Diagrams 5.2. Some Interaction Processes between Photons and Atoms 5.2.1. Emission 5.2.2. Absorption 5.2.3. Scattering 5.3. Resonant Scattering and Radiative Corrections | Assignment 3 due |
| 11 | 5.4. Interaction by Photon Exchange and Collisions 5.4.1. Van der Waals Interaction | |
| 12 | 5.4.2. Casimir Interactions 5.4.3. Langevin Model for Inelastic Collisions | Assignment 4 due |
| 13 | 5.4.4. Elastic Collisions between Cold Atoms 5.4.5. s-wave Scattering 6. Master Equation | |
| 14 | 7. Optical Bloch Equations 7.1. Derivation 7.2. Rotating-wave Approximation | Assignment 5 due |
| 15 | 7.3. Adiabatic Elimination of Coherences 7.4. Steady-state Solution 7.5. Spectrum of Emitted Light | |
| 16 | 7.6. Mean Radiation Forces 7.6.1. Radiation Pressure Force 7.6.2. Reactive Force 7.7. Moving Atoms, Friction Force | Assignment 6 due |
| 17 | 7.8. Diffusion in a Standing Wave 7.9. Experiments on the Stimulated Light Force 8. The Dressed Atom Approach 8.1. Derivation of the Energy Levels of the Dressed Atom | |
| 18 | 8.2. Resonance Fluorescence in the Dressed Atom Picture 8.3. Dipole Forces within the Dressed Atom Picture 8.3.1. Mean Dipole Force for an Atom at Rest 8.3.2. Mean Dipole Force for a Slowly Moving Atom 8.3.3. Energy Balance in a Small Displacement | Assignment 7 due |
| 19 | 8.3.4. Momentum Diffusion due to Dipole Force Fluctuations 8.3.5. Atoms Moving in a Standing Wave 8.3.6. Cooling in a Standing Wave 9. Spontaneous Light Force Traps | |
| 20 | 10. Quantum Monte Carlo Wavefunction Method 10.1. Basic Concepts 10.2. MCWF Procedure | Assignment 8 due |
| 21 | 10.3. Proof of Equivalence to the Optical Bloch Equations 11. Models of Decoherence 11.1. Decoherence - Definition and Perspective 11.2. Three Models of Phase Damping 11.2.1. Random Phase Noise 11.2.2. Elastic Collisions 11.2.3. Random Phase Flips 11.3. Jaynes-Cummings Collapses and Revivals | |
| 22 | 12. Ion Traps 12.1. Hamiltonians and Cooling 12.1.1. The Ion Trap Physical System 12.1.2. The Hamiltonian 12.1.3. Sideband Cooling - Process and Limits 12.1.4. Experimental Observations of Sideband Cooling | Assignment 9 due |
| 23 | 12.2. Quantum Control of Single Ions 12.2.1. The Challenge of Quantum State Preparation 12.2.2. Review of Unusual States 12.2.3. Motional State Control in Ion Traps 12.2.4. Motional Fock, Coherent, and Schroedinger Cat States 12.2.5. Recipe for Arbitrary Motional States | |
| 24 | 12.3. Quantum Computation with Trapped Ions 12.3.1. Quantum Gates and Circuits 12.3.2. The Cirac-Zoller CNOT 12.3.3. Geometric Phase Gate | |
| 25 | 13. Magnetic Traps and Evaporative Cooling 13.1. Stability, Majorana Flops, Magnetic Levitation 13.2. Wing's Theorem 13.3. Magnetic Trap Configurations | Assignment 10 due |
| 26 | 13.4. Evaporative Cooling 14. Bose-Einstein Condensation 14.1. Homogeneous Interacting Bose Gas, Bogoliubov Solution 14.2. Elementary Excitations | |
| 27 | 14.3. Inhomogeneous Bose Gas, Nonlinear Schrödinger Equation 14.4. The Thomas-Fermi Approximation 14.5. Hydrodynamic Flow of a Superfluid |