Office Hours: TBA
Problem Session: TBA
Quantum
optics is a broad and varied subject that deals with the study, control, and
manipulation of quantum coherence associated with electromagnetic fields. This
includes nonclassical optical media, the basic interaction of photons and
atoms, and the nonclassical nature of the electromagnetic field itself.
Quantum optics is the natural arena for experimental tests of the foundations
of quantum mechanics and measurement, especially in the context of open,
nonequilibrium quantum systems. Most recently, developments in theory and
experiment have led to the possibility of applying the coherent control of
quantum optical systems to perform completely new informationprocessing
paradigms such as quantum communication and quantum computation.
Topics to be
studied include:
 Quantum and classical coherence
 Atomphoton coupling and atomic coherence
 The quantum electromagnetic vacuum
 Nonclassical light and photon statistics
 Quantum optical particles and waves (discrete and continuous variables)
 Foundations of entanglement and quantum maps
 Open quantum systems and decoherence
 Quantum trajectories and continuous measurement
 Fundamental paradigms in quantum optics (cavity QED, ion and neutral atom
traps, entangled light)
 Applications in quantum information science (quantum communication,
computation, metrology)
Quantum Optics map (pdf download)
"Recommended" Texts (none required):
* AtomPhoton interactions CohenTannoudji,
* Quantum Optics  Scully and Zubairy,
* The Quantum World of UltraCold Atoms and Light: Book 1: Foundations of Quantum Optics  Gardiner and Zoller.
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)
* Introduction to Quantum Optics  Grynberg Aspect, and Fabre,
* Exploring the Quantum: Atoms, Cavities, and Photons  Haroche and Raimond,
* The Quantum Theory of Nonlinear Optics  Drummond and Hillery.
Recent books (published within the last 10 years)
* Statistical Methods in Quantum Optics 1 and 2, by H. J. Carmichael
* Quantum Noise, by C. Gardiner (also Handbook of Stochastic Methods)
* Quantum Optics, An Introduction, by M. Fox
* 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
"Quantum Optics"  Walls and Milburn
* 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) 60%
* Midterm 20%
* Final Project 20%
* Problem sets will be available on the web, about every week. Generally assignments will be due in class, Thursdays.
Phys. 566: Quantum Optics I
I. Classical foundations
A. Oscillators, interference, and coherence.
B. Stochastic Processes.
C. Lorentz
oscillator model.
II. Quantum foundations
A. Density matrix and coherence.
B. Two level
systems  Pauli algebra, Blochsphere, magnetic resonance.
C. Quantum
simple harmonic oscillator.
III. 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 and WignerWeisskopf theory.
C. JaynesCummings model  Dressed states, Cavity QED.
V. Three level quantum coherence
A. Raman resonance.
B. Dark
states and EIT.
C. Slow
light, fast light, and polaratons.
VI. QuantumOptical Coherence
A. Photon counting statistics and classical statistical optics
B. Coherent states as quasiclassical states.
C. Glauber's correlation functions.
D. HanburyBrown and Twiss interferometry and nonclassical light
E. Bunching, antibunching ,and photon statistics.
Aug. 22

Overview of Class.
Quantum and Classical Coherence


Aug. 24

Introduction to Stochastic to Probability


Aug. 29

No Class 

Aug. 31

No Class


Sep. 5

Introduction to Stochastic Processes 

Sep. 7

Lorentz Oscillator and Coherence


Sep. 12a

Coherence and the Density Matrix


Sep. 12b Makeup

Two level atoms  Paul algebra, Blochsphere, SU(2)


Sep. 14

Continuation 

Sep. 19

Magnetic Resonance  Rabi flopping 

Sep. 21

Continuation 

Sep. 26a

Optical Bloch Equations Phenomenological decay T1 and T2


Sep. 26b

Make up: Introduction to the Master Equation 

Sep. 28

Twolevel atom damped response Laser rate equations


Oct. 3

Threelevel atoms: Adiabatic elimination 

Oct. 5

Raman Transitions and Optical Control of Ground States


Oct. 10

Dark States, Coherent Population Trapping, and EIT 

Oct. 12

Fall Break 

Oct. 17

Introduction to Quantum Field Theory 

Oct. 19

Continuation 

Oct. 24

Quantization of the electromagnetic field


Oct. 26

Introduction to Quantized Field  Atom Interactions 

Oct. 31

The JaynesCummings Model and Cavity QED 

Nov. 2

Spontaneous emission: WignerWeisskopf and the Markoff approximation


Nov. 7

Spontaneous emission: Heisenberg Picture: Radiation Reaction 

Nov. 9

Photon counting experiments and photon statistics


Nov. 14

Coherent states as quasiclassical states of the electromagnetic field 

Nov. 16

Continuation 

Nov. 21

Interferometry and coherence: HanburyBrown and Twiss


Nov. 23

Thanksgiving 

Nov. 28



Nov. 30

Classical vs. Nonclassical Light


Dec. 5

Photon statistics Introduction to resonance fluorescence Coherent vs. incoherent photon scattering


Dec. 7

The spectrum of resonance fluorescence: The Mollow triplet Nonclassical Light: Photon antibunching in resonance fluorescence

Problem Set #1  Problem Set #6 
Problem Set #2 
Problem Set #7 
Problem Set #3  Problem Set #8 
Problem
Set #4
 Problem Set #9 
Problem Set #5 
Problem Set #10 