Physics 404/690: Quantum and Nonlinear Optics

Spring 2017 Course schedule

Week

Material covered

Homework assignment

 Jan 18

(short week)

Classical electromagnetic field, Maxwell’s Equations (review)

1/18 Maxwell's equations

 

Jan 23, 25

Atom-laser interactions

1/23 Classical description of light-atom interaction

1/25 Classical description of coherence and fluctuations

Homework #1

Due 1/30

Solutions

Jan 30, Feb 1

Quantum mechanics of atom-laser interactions

1/30 Semiclassical description of light-atom interaction

2/01 Rabi flopping; Density matrices

Homework #2

Due 2/6

Solutions

Feb 6, 8

Introduction to laser theory

2/6 Absorption and amplification

2/8 Basics of laser operation

Derivations of Fabri-Perot cavity transmission

Homework #3

Due 2/13

Solutions

Feb 13, 15

Atom-based nonlinear effects

2/13 Saturation spectroscopy

2/15 Two-photon Raman transitions

Homework #4

Due 2/20

Solutions

Feb 20, 22

Atom-based nonlinear effects

2/20 Raman resonances - physical interpretation and Slow and stored light

2/22 Parametric nonlinear processes

Homework #5

Due 2/27

Solutions

Feb 27, March 1

Quantization of electromagnetic field

2/27 Quantum description of e-m field, photon number states

3/01 Coherent states

 

March 6-11

Spring break

 

March 13, 15

Beam splitters and interferometers

3/13 Quantum treatment of a beam splitter

3/15 Quantum interferometers

Lev Vaidman's paper on interaction-free measurements

Homework #6

Due 3/20

Solutions

March 20, 22

Non-classical light

3/20 Squeezed light

3/22 Quantum detectors. Optical Schrodinger cat states

 

March 27, 29

Midterm test 3/27 Solutions

3/29 Wigner function; generation of cat states.

Homework #7

Due 4/3

Solutions

Apr 3, 5

Interaction between atoms and quantized electromagnetic fields

4/3 Fully-quantized interaction of light and atoms.

4/3 Quantum Rabi oscillations

Homework #8

Due 4/10

Solutions

Apr 10, 12

Interaction between atoms and quantized electromagnetic fields

4/10 Strong coupling of an atom and a coherent field.

4/12 Spontaneous emission. Entanglement generation in an optical parametric amplifier.

Homework #9

Due 4/17

Solutions

Apr 17, 19

Quantum entanglement

4/17 EPR paradox, Bell inequality

Original EPR, Bell and Aspect papers

Homework #10

Due 4/24

Apr 24, 26

Optical tests of quantum mechanics

 

 

May 4

Final presentations (2-5pm)

Final exam due