About this Course

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Approx. 33 hours to complete
English
Shareable Certificate
Earn a Certificate upon completion
100% online
Start instantly and learn at your own schedule.
Flexible deadlines
Reset deadlines in accordance to your schedule.
Approx. 33 hours to complete
English

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École Polytechnique

Syllabus - What you will learn from this course

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Week
1

Week 1

8 hours to complete

Quantization of light: one mode

8 hours to complete
13 videos (Total 119 min), 3 readings, 10 quizzes
13 videos
1.0 Introduction to Lesson 15m
1.1 Canonical quantization10m
1.2.1 Material harmonic oscillator /111m
1.2.2 Material harmonic oscillator /212m
1.3 Single mode of radiation9m
1.4 Canonical quantization of a single mode10m
1.5 Observables6m
1.6 Number states; Photon7m
1.7 Vacuum fluctuations5m
1.8 What have we learnt? What next?4m
Introduction to homework 111m
Quantization of classical oscillators12m
3 readings
Homework 11h
Correction of Homework 130m
Einstein's 1905 paper introducing the "photon"
10 practice exercises
Questions about the general introduction30m
Practice quiz video 1.130m
Practice quiz video 1.2.130m
Video 1.2.2.30m
Video 1.330m
Video 1.430m
Video 1.530m
Video 1.730m
Video 1.830m
Homework 1 evaluation30m
Week
2

Week 2

5 hours to complete

One photon state in a single mode: particle-like behaviour

5 hours to complete
7 videos (Total 52 min), 2 readings, 5 quizzes
7 videos
2.1 The semi-classical model of optics9m
2.2 One-photon state in a single mode10m
2.3 Photo-detection signals7m
2.4 Single photo-detection signal for a one photon state4m
2.5 Double photo-detection signal for a one photon state: a fully quantum behavior6m
2.6 Quantum optics: a must9m
2 readings
Homework 21h
Correction of Homework 230m
5 practice exercises
Video 2.130m
Video 2.230m
Video 2.330m
Video 2.630m
Homework 2 evaluation30m
Week
3

Week 3

5 hours to complete

One photon interference: Wave-Particle duality

5 hours to complete
6 videos (Total 56 min), 3 readings, 4 quizzes
6 videos
3.1 Beam-splitter in quantum optics16m
3.2 One photon wave-packet on a beam splitter9m
3.3 Mach-Zehnder interferometer in classical optics9m
3.4 One-photon interference5m
3.5 Wave-particle duality: “a quantum mystery”; a consistent formalism7m
3 readings
Homework 31h
Homework 3 correction30m
A historical feeble light interference experiment10m
4 practice exercises
Video 3.1 Tensor product properties30m
Video 3.2 Transforming photon number operator on a BS30m
Final practice quiz30m
Homework 3 evaluation30m
Week
4

Week 4

4 hours to complete

Multimode quantized radiation: quantum optics in a real lab

4 hours to complete
8 videos (Total 60 min), 3 readings, 2 quizzes
8 videos
4.1 Canonical quantization of multimode radiation14m
4.2 Eigen-states of the Hamiltonian: space of states, energy of the vacuum7m
4.3 Total number of photons2m
4.4 Linear and angular momentum6m
4.5 Field observables: vacuum fluctuations4m
4.6 Photo-detection signals12m
4.7 Conclusion: what you have learned; the quantum vacuum7m
3 readings
Paper of Glauber 1983 on quantum formalism of light10m
Homework 41h 30m
homework 4 corrected30m
2 practice exercises
Video 4.430m
Homework 4 evaluation30m

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