Office Hours: Wed. 10:0011:00, Room 23
Problem Session: Mon. 2:003:00, Room 5
Quantum Optics map (pdf download)
"Recommended" Texts (none required):
* AtomPhoton interactions CohenTannoudji,
* Quantum Optics  Scully and Zubairy,
* Quantum Optics, by R. Y. Chiao and J. C. Garrision
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 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) 50%
* Midterm 25%
* Final Project 25%
* Problem sets will be available on the web, about every week. Generally assignments will be due in class, Tuesdays.
Phys. 566: Quantum Optics I
I. Classical foundations
A. Oscillators, interference, and coherence.
B. Simple
harmonic oscillators, quadratures, and Fourier analysis.
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. Resonance
fluorescence  Mollow triplet.
D. JaynesCummings model  Dressed states.
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  Mandel's formula.
B. Theory of
partial coherence  Classical statistical optics
C. Coherent states as quasiclassical states.
D. Glauber's correlation functions.
E. HanburyBrown and Twiss interferometry.
F. Bunching, antibunching ,and photon statistics.
Phys. 581: Quantum Optics II
I. Nonclassical Light
A. Phase space methods  Quasiprobability distributions, PGlauber, QHusimi,
WWigner functions.
B. Nonlinear
optics and nonclassical light.
C. Squeezed
states.
D. Homodyne
detection.
E.
Correlated twin photons.
F. Photon interferometry.
II. Foundations
A. Bipartite entanglement.
B. EPR and
Bell’s Inequalities, finite and infinite dimensional systems.
C.
Completelypositive map, Kraus operators, and POVMs.
III. Open quantum systems
A. Systemreservoir interactions.
B. BornMarkoff approximation and the Lindblad Master Equation.
C.
Phasespace representation: FokkerPlanck equation.
D.
HeisenbergLangevin equation.
III. Continuous measurement
A. Quantum trajectories – different unravelings of the Master Equation.
B. Quantum MonteCarlo wave functions.
C. The
stochastic Schrödinger equation.
D. Quantum
filtering theory.
IV. Fundamental Paradigms of quantum optics
A. Cavity QED (from atoms to superconductors)
B. Ion
traps.
C. Cold
neutral atom ensembles.
D.
Correlated photons and squeezed states.
V. Applications in quantum information processing
A. Quantum communication
B. Quantum
computation
C. Quantum
metrology
Aug. 20

Overview of Class.
Quantum and Classical Coherence


Aug. 22

Oscillators, Quadratures, and Fourier Analysis


Aug. 27

Lorentz Oscillator Model


Aug. 29

Lorentz Oscillator Model Continued: Radiation Reaction and the Classical Theory of Resonance Fluorescence


Sep. 3

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


Sep. 5

Continuation


Sep. 10

Magnetic Resonance  Rabi flopping


Sep. 12

Continuation


Sep. 17

Laser spectroscopy as magnetic resonance Coherence and the Density Matrix


Sep. 19

Continuation


Sep. 24

Optical Bloch Equations (I) Phenomenological decay T1 and T2


Sep. 26

Continuation


Oct. 1

Optical Bloch Equations (II) Twolevel atom damped response


Oct. 3

Threelevel atoms: Adiabatic elimination


Oct. 8

Dressed States and Raman Transitions 

Oct. 10

Fall Break 

Oct.15

Dark states, Coherent Population Trapping, Electromagnetically Induced Transparency 

Oct. 17

Introduction to Quantum Field Theory 

Oct. 22

Continuation 

Oct. 24

Midterm Exam 

Oct. 29

Quantization of the electromagnetic field 

Oct. 31

Introduction to Quantize Field  Atom Interactions The JaynesCummings Model 

Nov. 5

Continuation


Nov. 7

Spontaneous emission: WignerWeisskopf 

Nov. 12

WignerWeisskopf 2: Schrödinger picture: Single photon spontaneous wavepackets Heisenberg picture: Radiation reaction vs. vacuum fluctations


Nov. 14

Photon counting experiments and photon statistics Coherent states as quasiclassical states


Nov. 19

Continuation


Nov. 21



Nov. 26



Nov. 28

Thanksgiving


Dec. 3

Glauber correlation functions: 

Dec. 5

Snow Day 

Dec. 9

Photon statistics and bunching 

Dec. 10

Introduction to resonance fluorescence Coherent vs. incoherent photon scattering 

Dec. 11

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 