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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 the basic interaction of photons and matter 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. The theoretical and experimental tools of quantum optics have helped to ignite the "second quantum revolution" and the development of Quantum Information Science (QIS), with applications in quantum computation and communication.
 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)
"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.
* Introduction to Quantum Optics  Grynberg Aspect, and Fabre,
* Exploring the Quantum: Atoms, Cavities, and Photons  Haroche and Raimond.
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 Standard Texts:
* Quantum Properties or Radiation, R. Loudon• Quantum Optics by Walls and Milburn
* Statistical Methods in Quantum Optics 1 and 2, by H. J. Carmichael* Quantum Noise, by C. Gardiner (also Handbook of Stochastic Methods)
* Introductory Quantum Optics by C. Gerry and P. Knight
Additional
Resources
* Optical Coherence and Quantum Optics, by L. Mandel and E. Wolf
* Optical Resonance and TwoLevel Atoms , by Allen and J. H. Eberly* Quantum Statistical Properties of Radiation, by W. H. Louisell
Grading:
* Problem Sets (10 assignments) 80%
* Final Project 20%
*
Problem sets will be available on the web, about every week.
Generally assignments will be due Thursday, 5:00pm, in the
TA's maiilbox.
Phys. 566: Quantum Optics I
I. Quantum foundations
A. Density matrix and coherence.
B. Two level systems  Qubits, Pauli algebra, Blochsphere,
magnetic resonance.
C. Quantum 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.
III. The electromagnetic vacuum
A. Quantization of the electromagnetic field.
B. Spontaneous emission and WignerWeisskopf theory.
C. JaynesCummings model  Dressed states,
Cavity QED.
VI. Three level quantum coherence
A. Raman resonance.
B. Dark states and EIT.
V. QuantumOptical Coherence and Nonclassical Light
A. Photon counting statistics and classical statistical optics
B. Coherent states as quasiclassical states.
C. Glauber's correlation functions.
D. Bunching, antibunching, and photon statistics.
E. Squeezed states of light.
Aug. 22 
Overview of Class. Quantum and Classical Coherence 

Aug. 24 
Continuation



Aug. 29 
Coherence and the
Density Matrix 

Aug. 31 
Qubits
 Paul algebra, Blochsphere, SU(2) 

Sep. 5 
Magnetic Resonance  Lecture
#4 Podcast #4 

Sep. 7


Rabi flopping

Podcast #5  
Sep. 12 
Twolevel atoms


Sep. 14 
No Lecture 


Sep. 19 
Optical Bloch Equations Phenomenological decay T1 and T2 

Sep. 21 
Twolevel atom damped response Laser rate equations 
Lecture #6 Lecture #7 

Sep. 26 
Threelevel atoms: Adiabatic elimination Raman Transitions and Optical Control of Ground States  Lecture #8  



Oct. 3 
Introduction to Quantum Field
Theory

Lecture #9  
Oct. 5 
Quantization of the electromagnetic
field 
Lecture #10 Lecture #10b 

Oct. 10 
Traveling Wave Quantization

Lecture #11  
Oct. 12 
Fall Break 

Oct.
17

Coherent
states as quasiclassical
states of the
electromagnetic field

Lecture #12  
Oct. 19 
Chaotic light and thermal states 
Lecture #13 

` Oct. 24 
Are photons real? The
photoelectric effect and photon counting

Lecture #14  
Oct. 26 
Photon optics  Semiclassical theoy HanburyBrown Twiss Experiment 
Lecture #15 

Oct. 31 
Glauber
QuantumTheory of Photon Counting Photon Optics 
Lecture #16  
Nov. 2 
Glauber theory nonclassical light 
Lecture #17  
Nov. 7 
Continuous Variable
Squeezed states of light  General properties 
Lecture
#18 

Nov. 9

Squeezed states  Creation and
detection



Nov. 14 
Quantized
Field  Atom Interactions 
Lecture #19 

Nov. 16 
JaynesCummings
Model

Glauber Les Houches Lectures  
Nov. 21 
Spontaneous
Emission WignerWiesskopf and the Markov approximation 
Lecture #20 

Nov. 23 
Thanksgiving 

Nov. 28

Resonance Fluorescence 
Lecture #21 

Nov. 30 
Photon Antibunching 

Dec. 5 
Slack 

Dec. 7 
Slack 
] 
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
