Office Hours: Fridays 1112, room 23
Quantum Optic map (pdf download)
"Recommended" Texts (none required):
* "AtomPhoton interactions" CohenTannoudji,
* "Quantum Optics"  Scully and Zubairy,
* "Quantum Optics"  Walls and Milburn
We will not be following any of these texts directly . They all have strengths in different areas and are good to have on your bookshelf.
Other Texts:
Recent books (published within the last 5 years)
* Statistical Methods in Quantum Optics 1 and 2, by H. J. Carmichael
* Quantum Optics, by R. Y. Chiao and J. C. Garrision
* Quantum Noise, by C. Gardiner (also Handbook of Stochastic Methods)
* Introductory Quantum Optics by C. Gerry and P. Knight
* Fundamental of Quantum Optics, by J. R. Klauder and E. C. G. Sudarshan
* Quantum Optics: Including Noise Reduction, Trapped Ions, Quantum Trajectories, and Decoherence by M. Orszag
* Introduction to Quantum Optics: From Light Quanta to Quantum Teleportation by H. Paul and I. Jex
* Fundamentals of Quantum Optics and Quantum Information by P. Lambropoulos and D. Petrosyan
* Modern Foundations Of Quantum Optics by Vlatko Vedral
Older standards
* Elements of Quantum Optics, by P. Meystre and M. Sargent
* Photons and Atoms: Introduction to Quantum Electrodynamics, by Claude CohenTannoudji et al.
* Optical Coherence and Quantum Optics, by L. Mandel and E. Wolf
* Lasers, by P. Milonni and J. H. Eberly
* Optical Resonance and TwoLevel Atoms , by Allen and J. H. Eberly
* Quantum Statistical Properties of Radiation, by W. H. Louisell
* Quantum Properties or Radiation, R. Loudon
* Laser Theory, by H. Haken
Grading:
* Problem Sets (810 assignments) 50%
* Take Home Midterm 25%
* Final Project 25%
* Problem sets will be available on the web, about every week. Generally assignments will be due in Leigh Norris's mailbox at 3:00 PM Fridays.
I Foundations
A. Review of Quantum Mechanics: Hilbert space, operators, states, time evolution.
B. Two level systems  Pauli algebra, Blochsphere, magnetic resonance.
C. Simple Harmonic Oscillator.
II. Optical resonance for two level atoms
A. Atomphoton interaction in electric dipole approximation.
B. Pseudospin formulation, Rabi flopping.
C. Density matrix formulation.
D. Phenomenological damping  master equation and rate equations.
IV. The electromagnetic vacuum
A. Quantization of the electromagnetic field.
B. Spontaneous emission.
C. Resonance fluorescence  Mollow triplet
VI Nonclassical light
A. Photon counting statistics  Mandel's formula.
B. Coherent states as quasiclassical states.
C. Phase space methods  Quasiprobability distributions, P,Q, Wigner functions.
D. Squeezed states.
E. Theory of partial coherence  Glauber's correlation functions.
F. Photon antibunching and resonance fluorescence.
G. JaynesCummings model  Dressed states, collapse and revival.
V Theory of dissipation in quantum mechanics
A. System reservoir interaction.
B. Derivation of the Linblad master equation in the BornMarkov approximation.
C. Damped twolevel atom and simple harmonic oscillators.
D. Heisenberg formulation  Langevin equations.
VII Theoretical methods for open quantum systems
A. Formal theory of the density operators.
B. Quantum trajectories  Unraveling the master equation.
C. Measurement theory and decoherence.
Aug. 24 
Overview of Class: Review of Quantum mechanics 

Aug.
26 
The Density Matrix 

Aug. 31 
Two level systems  Paul algebra, Blochsphere 

Sep. 2 
Magnetic Resonance  Rabi flopping (I) 

Sep. 7 
Magnetic Resonance  Rabi flopping (II) 
Continuation Lect 3 
Sep.
9 
Optical Bloch Equations (I) Laser spectroscopy as magnetic resonance 

Sep. 14 
Optical Bloch Equations (II) Phenomenological decay T1 and T2 

Sep.
16 
Optical Bloch Equations (III) Twolevel Atomic Response 

Sep. 21 
Introduction to Quantum Field Theory 

Sep. 23 
Introduction to Quantum Field Theory (Ii) 

Sep. 28 
Quantization of the electromagnetic
field 

Sep. 30 
Spontaneous
emission: WignerWeisskopf 

Oct.
5 
Are there photons? Photon counting experiments and photon statistics 

Oct.7 
Coherent states as quasiclassical states 

Oct.
12 
Phase space methods in Quantum Mechanics 

Oct. 14 
Fall Break 

Oct.19

Wigner,
GlauberP, Q functions 

Oct. 21 
Interferometry and coherence: HanburyBrown Twiss 

Special Supplement: Glauber Les Houches Lectures (1964)  "Quantum Theory of Coherence" 

Oct. 26 
Glauber correlation functions: Optical coherence and photon statistics 

Oct. 28 
Nonclassical Light: Photon Antibunching, Resonance fluorescence 

Nov. 2 
Nonlinear Optics and Nonclassical Light: Parametric Downconversion and twophoton interferometry 

Nov.
4 
Squeezed states  General properties 

Nov.
9 
Squeezed states  Production and detection 

Nov. 11 
Interaction of atoms and quantized field  Jaynes Cummings vs. irreversable 

Nov. 16 
Open Quantum Systems Tensor products, marginal density opertor, entanglement 

Nov.
18 
Quantum Opertations, POVMs, Krause representation 

Nov. 22 Make Up 
Irreverisble bipartite systemreservoir interaction. Markov approximation  Lindblad Master Equation 

Nov. 23 
Examples of Master Equation Evolution: Damped twolevel atom, damped SHO 

Nov.
25 
Thanksgiving 

Nov. 30 
Quantum Trajectories I Introduction to measurment theory Master equation: quantum jump picture 

Dec. 2 
Quantum Trajectories II Quantum MonteCarlo Wave Function Algorithm 

Dec. 7 
Continuation: Multilevel Quantum Jumps 

Dec.
9 
Quantum Trajectories III Different Unravelings of the Master Equation 

Additional Topics: Stochastic Schrödinger Equation Continuous Measurement 
Problem Set #1 
Problem Set #4 
Problem Set #2 
Problem Set #5 
Problem Set #3 
Problem Set #6 
Problem Set #7 