Quantum Optics 1 : Single Photons at Coursera Overview
Duration | 33 hours |
Total fee | Free |
Mode of learning | Online |
Official Website | Explore Free Course  |
Credential | Certificate |
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Quantum Optics 1 : Single Photons at Coursera Highlights
- 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 Subtitles: French, Portuguese (European), Russian, English, Spanish
Quantum Optics 1 : Single Photons at Coursera Course details
- This course gives you access to basic tools and concepts to understand research articles and books on modern quantum optics. You will learn about quantization of light, formalism to describe quantum states of light without any classical analogue, and observables allowing one to demonstrate typical quantum properties of these states. These tools will be applied to the emblematic case of a one-photon wave packet, which behaves both as a particle and a wave. Wave-particle duality is a great quantum mystery in the words of Richard Feynman. You will be able to fully appreciate real experiments demonstrating wave-particle duality for a single photon, and applications to quantum technologies based on single photon sources, which are now commercially available. The tools presented in this course will be widely used in our second quantum optics course, which will present more advanced topics such as entanglement, interaction of quantized light with matter, squeezed light, etc...
- So if you have a good knowledge in basic quantum mechanics and classical electromagnetism, but always wanted to know:
- ? how to go from classical electromagnetism to quantized radiation,
- ? how the concept of photon emerges,
- ? how a unified formalism is able to describe apparently contradictory behaviors observed in quantum optics labs,
- ? how creative physicists and engineers have invented totally new technologies based on quantum properties of light,
- then this course is for you.
Quantum Optics 1 : Single Photons at Coursera Curriculum
Quantization of light: one mode
0.0 General introduction to the course
1.0 Introduction to Lesson 1
1.1 Canonical quantization
1.2.1 Material harmonic oscillator /1
1.2.2 Material harmonic oscillator /2
1.3 Single mode of radiation
1.4 Canonical quantization of a single mode
1.5 Observables
1.6 Number states; Photon
1.7 Vacuum fluctuations
1.8 What have we learnt? What next?
Introduction to homework 1
Quantization of classical oscillators
Homework 1
Correction of Homework 1
Einstein's 1905 paper introducing the "photon"
Questions about the general introduction
Practice quiz video 1.1
Practice quiz video 1.2.1
Video 1.2.2.
Video 1.3
Video 1.4
Video 1.5
Video 1.7
Video 1.8
Homework 1 evaluation
One photon state in a single mode: particle-like behaviour
2.0 Introduction
2.1 The semi-classical model of optics
2.2 One-photon state in a single mode
2.3 Photo-detection signals
2.4 Single photo-detection signal for a one photon state
2.5 Double photo-detection signal for a one photon state: a fully quantum behavior
2.6 Quantum optics: a must
Homework 2
Correction of Homework 2
Video 2.1
Video 2.2
Video 2.3
Video 2.6
Homework 2 evaluation
One photon interference: Wave-Particle duality
3.0 Introduction to Lesson 3
3.1 Beam-splitter in quantum optics
3.2 One photon wave-packet on a beam splitter
3.3 Mach-Zehnder interferometer in classical optics
3.4 One-photon interference
3.5 Wave-particle duality: ?a quantum mystery?; a consistent formalism
Homework 3
Homework 3 correction
A historical feeble light interference experiment
Video 3.1 Tensor product properties
Video 3.2 Transforming photon number operator on a BS
Final practice quiz
Homework 3 evaluation
Multimode quantized radiation: quantum optics in a real lab
4.0 Introduction to lesson 4
4.1 Canonical quantization of multimode radiation
4.2 Eigen-states of the Hamiltonian: space of states, energy of the vacuum
4.3 Total number of photons
4.4 Linear and angular momentum
4.5 Field observables: vacuum fluctuations
4.6 Photo-detection signals
4.7 Conclusion: what you have learned; the quantum vacuum
Paper of Glauber 1983 on quantum formalism of light
Homework 4
homework 4 corrected
Video 4.4
Homework 4 evaluation
One photon sources in the real world
5.0 Introduction to Lesson 5
5.1 Heisenberg formalism: photo-detection signals
5.2 Multimode one-photon wave-packet
5.3 Spontaneous emission photon
5.4 A detour to Fourier transforms
5.5 Real one-photon sources
5.6 One-photon sources for what?
Homework 5
Homework 5 corrected
Evaluation of homework 5
Wave-particle duality for a single photon in the real world
6.0 Introduction to Lesson 6
6.1 Anti-correlation for a one-photon wave-packet on a beam-splitter
6.2 Anti-correlation experiments: fully quantum behavior
6.3 Anti-correlation with supplementary photons
6.4 One-photon interference signal
6.5 One photon interference experiment
6.6 Wave particle duality and complementarity
6.7 A fruitful mystery
Homework 6
Correction of homework 6
video 6.4
Evaluation of homework 6
One-photon based quantum technologies
7.0 The second quantum revolution: from concepts to technology
7.1 Quantum random numbers generator (QRNG)
7.2 Weak light pulses on a beam-splitter
7.3 One-photon polarization as a qubit
7.4 Quantum cryptography: the BB84 QKD scheme
7.5 The no-cloning theorem
7.6 Conclusion of the lesson and of Quantum Optics 1
Homework 7
Video 7.1
Evaluation of homework 7 (non graded)
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