About this Course

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Learner Career Outcomes

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started a new career after completing these courses

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got a tangible career benefit from this course

Shareable Certificate

Earn a Certificate upon completion

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Flexible deadlines

Reset deadlines in accordance to your schedule.

Approx. 24 hours to complete

English

Subtitles: English

Learner Career Outcomes

50%

started a new career after completing these courses

20%

got a tangible career benefit from this course

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. 24 hours to complete

English

Subtitles: English

Offered by

École Polytechnique logo

École Polytechnique

Syllabus - What you will learn from this course

Week
1

Week 1

5 hours to complete

Quantization of light: one mode

5 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 introduction8m
Practice quiz video 1.110m
Practice quiz video 1.2.14m
Video 1.2.2.6m
Video 1.34m
Video 1.48m
Video 1.52m
Video 1.72m
Video 1.82m
Homework 1 evaluation16m
Week
2

Week 2

3 hours to complete

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

3 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 2.14m
Video 2.22m
Video 2.32m
Video 2.68m
Homework 2 evaluation18m
Week
3

Week 3

3 hours to complete

One photon interference: Wave-Particle duality

3 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 properties6m
Video 3.2 Transforming photon number operator on a BS2m
Final practice quiz2m
Homework 3 evaluation20m
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 4.46m
Homework 4 evaluation22m

Frequently Asked Questions

  • Once you enroll for a Certificate, you’ll have access to all videos, quizzes, and programming assignments (if applicable). Peer review assignments can only be submitted and reviewed once your session has begun. If you choose to explore the course without purchasing, you may not be able to access certain assignments.

  • When you purchase a Certificate you get access to all course materials, including graded assignments. Upon completing the course, your electronic Certificate will be added to your Accomplishments page - from there, you can print your Certificate or add it to your LinkedIn profile. If you only want to read and view the course content, you can audit the course for free.

  • You will be eligible for a full refund until two weeks after your payment date, or (for courses that have just launched) until two weeks after the first session of the course begins, whichever is later. You cannot receive a refund once you’ve earned a Course Certificate, even if you complete the course within the two-week refund period. See our full refund policy.

  • Yes, Coursera provides financial aid to learners who cannot afford the fee. Apply for it by clicking on the Financial Aid link beneath the "Enroll" button on the left. You’ll be prompted to complete an application and will be notified if you are approved. Learn more.

  • There is no obligation, but the notions learned in this course will be necessary to follow the second course, which will present interaction between matter and quantized radiation, absorption, stimulated emission and spontaneous emission of photons, squeezed light, entangled photons, quantum treatment of non-linear optics, and applications to quantum technologies, etc...

  • This Course doesn't carry university credit, but some universities may choose to accept Course Certificates for credit. Check with your institution to learn more. Online Degrees and Mastertrack™ Certificates on Coursera provide the opportunity to earn university credit.

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