
Physics 48201 & 69001
Spring 2024

Quantum Optics and Atomics

Course Materials:

Week 0:
1/25
Intro to Atomic Physics and Quantum Optics
Syllabus
Thursday, January 25 Overheads  Introductory lecture
Lecture 1, Thursday, January 25 Review of basics, semiclassical atom.
Problem Set 1, target due date: February 1

Week 1:
1/302/1
Semiclassical atomlight interactions
No class on January 30, optional discussion on HanburyBrown and Twiss experiment.
Lecture 2, Thursday, February 1 Dipole radiation, semiclassical atom interacting with an EM wave.

Week 2:
2/68
Coherence
Lecture 3, Tuesday, February 6 Semiclassical atom, Rayleigh scattering, coherence.
Lecture 4, Thursday, February 8 Michelson interferometer, coherence length, 1st order coherence.
Problem Set 2, due date: February 15
Optional: Tutorial on the "rubber ruler" paradox (LIGO interferometer) [PDF].

Week 3: 2/1315
1st and 2nd Order Coherence
Lecture 5, Tuesday, February 13 1st order correlation function, WienerKhintchine theorem.
Tuesday, February 13 Overheads 1st order coherence and pulsed lasers.
Lecture 6, Thursday, February 15 2nd order coherence, thermal vs laser light, bunching.
Thursday, February 15 Overheads 2nd order coherence and bunching.

Week 4: 2/2022
2Level Atom in an EM field
Tuesday, February 20 Overheads Applications of the 2nd order autocorrelation function g^{2}(τ).
Lecture 7, Tuesday, February 20 2level atom, timedependence and measurement basis, Bloch sphere.
Lecture 8, Thursday, February 22 2level atom with an EM field, rotating wave approx., Rabi flopping.
Problem Set 3, due date: February 27 (revised to Feb. 29).

Week 5: 2/2729
Dressed Atom Theory
Lecture 9, Tuesday, February 27 Dressed atom picture, avoided level crossing, LandauZener transitions.
Tuesday, February 27 Overheads 2level and 5level Rabi flopping examples.
Lecture 10, Thursday, February 29 2level dressed atom Hamiltonian, AC Stark shift.
Thursday, February 29 Overheads AC Stark shifts, optical dipole traps, and Mollow triplets.
Problem Set 4, due date: March 7.

Week 6: 3/57
Spontaneous Emission
Lecture 11, Tuesday, March 5 Bloch sphere revisited, Ramsey interference.
Tuesday, March 5 Overheads Atomic clocks and the Ramsey interferometer.
Lecture 12, Thursday, March 7 Spontaneous emission and the photon vacuum.
Problem Set 5, due date: March 26.

Week 7: 3/1214
Spring Break !!

Week 8: 3/1921
Density Matrix and Optical Bloch Equations
Lecture 13, Tuesday, March 19 Spontaneous emission, density matrix, optical Bloch equations.
Midterm on Thursday, March 21.

Week 9: 3/2628
Resonance Fluorescence, Intro to Monte Carlo
Lecture 14, Tuesday, March 26 Optical Bloch equations, resonance fluorescence, Beer's law
Tuesday, March 26 Overheads Absorption imaging.
Thursday, March 28 Overheads TUTORIAL: Intro to Monte Carlo Simulations (classical).
Tutorial worksheet
Problem Set 6, due date: April 4. (new date: April 9, 2024)
Undergraduate Students: Guidelines for Final Paper and Oral Presentation, due dates: Last week of classes

Week 10: 4/24
Quantum Trajectories, MultiLevel Atoms
Lecture 15, Tuesday, April 2 Quantum Monte Carlo wavefunctions, quantum trajectories, fine structure Hamiltonian.
Tuesday, April 2 Overheads Quantum trajectories example.
Lecture 16, Thursday, April 4 Hyperfine structure Hamiltonian, Zeeman substructure, WignerEckart theorem.
Thursday, April 4 Overheads Electronic structure of alkali elements.

Week 11: 4/911
Laser Cooling and Trapping I
Lecture 17, Tuesday, April 9 M1 transition selection rules.
Tuesday, April 9 Overheads BreitRabi formula, ClebschGordan coefficients, cycling transitions.
Lecture 17, Thursday, April 11 Optical E1 transition selection rules.
Thursday, April 11 Overheads Doppler cooling, magnetooptical trap (MOT).
Problem Set 7, due date: April 18.

Week 12: 4/1618
Laser Cooling and Trapping II
Lecture 19, Tuesday, April 16 Doppler cooling temperature.
Lecture 20, Thursday, April 18 Polarization gradient lattice, Sisyphus cooling, magnetic trapping.
Thursday, April 18 Overheads Sisyphus cooling.

Week 13: 4/2325
Magnetic Traps ... and EM Field Quantization
Lecture 21, Tuesday, April 23 Magnetic traps, RF evaporation.
Tuesday, April 23 Overheads Evaporative cooling, dressed atom picture.
Lecture 22, Thursday, April 25 Quantization of the electromagnetic field, Fock states.

Week 14: 4/305/2
Photons: Fock States and Coherent States
Undergraduate presentation on April 30.
Lecture 23, Tuesday, April 30 Fock states and their Efield, photon number, and phase.
Undergraduate final paper due on May 2.
Lecture 24, Thursday, May 2 Coherent states and their Efield, photon number, and phase.
Practice problems on EM field quantization

Week 15: 5/7
FINAL EXAM
Final Exam (for graduate students) will be held Tuesday, May 7, 9 am  12 pm in Small Hall room 122

