Problem Session: Mondays 11:0012:00 (Zoom)
TA Problem Session: Wednesdays
11:0012:00 (room 2500)
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 Tuesdays, 5:00pm, in the
TA's maiilbox.
Phys. 566: Quantum Optics I
I. Classical foundations
A. Oscillators, interference, and coherence.
B. Lorentz oscillator model.
II. Quantum foundations
A. Density matrix and coherence.
B. Two level systems  Qubits, 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.
VI. 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 if light.
Aug. 24 
Overview of Class. Quantum and Classical Coherence 

Aug. 26 
Coherence and the
Density Matrix


Aug. 31 
Continuation 

Sep. 2 
Qubits
 Paul algebra, Blochsphere, SU(2) 

Sep. 7 
Continuation 

Sep. 9

Magnetic
Resonance  Rabi flopping


Sep. 14 
Continuation 

Sep. 16 
Twolevel atoms and Lorentz Oscillator 

Sep. 21 
Optical Bloch
Equations
Phenomenological decay T1 and T2 

Sep. 23 
Introduction to the Master
Equation


Sep. 28 
Twolevel atom damped response Laser rate equations 
Lecture #7 

Threelevel
atoms: Adiabatic elimination
Raman Transitions and Optical Control of Ground
States


Oct. 5 
Dark States, Coherent Population Trapping,
and EIT


Oct. 7 
Introduction
to Quantum Field Theory 

Oct. 12 
Quantization
of the electromagnetic field


Oct. 14 
Fall Break 

Oct.
19

Quantized Field  Atom Interactions 

Oct. 21 
The JaynesCummings Model and Cavity QED  
Oct. 26 
Continuation 

Oct. 28 
Spontaneous emission: WignerWeisskopf and the Markov
approximation


Nov. 2 


Nov. 4 
Continuation 

Nov. 9 
Coherent states as quasiclassical states of the electromagnetic field  
Nov. 11

Continuation


Nov. 16 
Statistical Optics. 

Nov. 18 
Glauber
correlation functions


Nov. 23 
Continuous variables: Squeezed states, general properties


Nov. 25 
Thanksgiving 

Nov. 30

Quadratures, shot noise, and homodyne
detection


Dec. 2 
Introduction to nonlinear optics and the generation of nonclassical light 

Dec. 7 
Continuation 

Dec. 9 
Three Wave Mixing Production of Squeezed States 
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
