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4.7
66 個評分
12 個審閱
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完成時間(小時)

完成時間大約為29 小時

建議:7 weeks of study, 4-5 hours / week...
可選語言

英語(English)

字幕:英語(English)
100% 在線

100% 在線

立即開始,按照自己的計劃學習。
可靈活調整截止日期

可靈活調整截止日期

根據您的日程表重置截止日期。
完成時間(小時)

完成時間大約為29 小時

建議:7 weeks of study, 4-5 hours / week...
可選語言

英語(English)

字幕:英語(English)

教學大綱 - 您將從這門課程中學到什麼

1
完成時間(小時)
完成時間為 5 小時

Quantization of light: one mode

In this first lesson, you will discover what is canonical quantization, apply it to the quantization of a single mode of the electromagnetic field, and find that it behaves as a quantum harmonic oscillator. The notion of photon will then naturally emerge, as well as the weird but fundamental notion of vacuum fluctuations....
Reading
13 個視頻 (總計 119 分鐘), 3 個閱讀材料, 10 個測驗
Video13 個視頻
1.0 Introduction to Lesson 15分鐘
1.1 Canonical quantization10分鐘
1.2.1 Material harmonic oscillator /111分鐘
1.2.2 Material harmonic oscillator /212分鐘
1.3 Single mode of radiation9分鐘
1.4 Canonical quantization of a single mode10分鐘
1.5 Observables6分鐘
1.6 Number states; Photon7分鐘
1.7 Vacuum fluctuations5分鐘
1.8 What have we learnt? What next?4分鐘
Introduction to homework 111分鐘
Quantization of classical oscillators12分鐘
Reading3 個閱讀材料
Homework 1s
Correction of Homework 130分鐘
Einstein's 1905 paper introducing the "photon"
Quiz10 個練習
Questions about the general introduction8分鐘
Practice quiz video 1.110分鐘
Practice quiz video 1.2.14分鐘
Video 1.2.2.6分鐘
Video 1.34分鐘
Video 1.48分鐘
Video 1.52分鐘
Video 1.72分鐘
Video 1.82分鐘
Homework 1 evaluation16分鐘
2
完成時間(小時)
完成時間為 3 小時

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

In this lesson, you will discover how the quantum optics formalism leads to the particle-like behaviour of a one photon wave-packet. For this, you will have to learn the quantum optics expressions of the simple and joint photodetection signals. A comparison with the semi-classical expressions will illustrate the necessity of quantum optics....
Reading
7 個視頻 (總計 52 分鐘), 2 個閱讀材料, 5 個測驗
Video7 個視頻
2.1 The semi-classical model of optics9分鐘
2.2 One-photon state in a single mode10分鐘
2.3 Photo-detection signals7分鐘
2.4 Single photo-detection signal for a one photon state4分鐘
2.5 Double photo-detection signal for a one photon state: a fully quantum behavior6分鐘
2.6 Quantum optics: a must9分鐘
Reading2 個閱讀材料
Homework 2s
Correction of Homework 230分鐘
Quiz5 個練習
Video 2.14分鐘
Video 2.22分鐘
Video 2.32分鐘
Video 2.68分鐘
Homework 2 evaluation18分鐘
3
完成時間(小時)
完成時間為 3 小時

One photon interference: Wave-Particle duality

In this lesson, you will address the fascinating question of a single photon interfering with itself, by calculating the interference pattern for a single photon launched into a Mach-Zehnder interferometer. In order to do it you will first learn how to treat a beam-splitter in quantum optics, a very important tool that you need to know. You will also learn that when you want to describe an optical instrument in quantum optics, it is very useful to master its classical optics description. This lesson is an opportunity to think about the mysterious concept of wave-particle duality, and about the power of the quantum formalism, which can deal consistently with two behaviours apparently contradictory ....
Reading
6 個視頻 (總計 56 分鐘), 3 個閱讀材料, 4 個測驗
Video6 個視頻
3.1 Beam-splitter in quantum optics16分鐘
3.2 One photon wave-packet on a beam splitter9分鐘
3.3 Mach-Zehnder interferometer in classical optics9分鐘
3.4 One-photon interference5分鐘
3.5 Wave-particle duality: “a quantum mystery”; a consistent formalism7分鐘
Reading3 個閱讀材料
Homework 3s
Homework 3 correction30分鐘
A historical feeble light interference experiment10分鐘
Quiz4 個練習
Video 3.1 Tensor product properties6分鐘
Video 3.2 Transforming photon number operator on a BS2分鐘
Final practice quiz2分鐘
Homework 3 evaluation20分鐘
4
完成時間(小時)
完成時間為 4 小時

Multimode quantized radiation: quantum optics in a real lab

In the real world there is nothing like purely monochromatic radiation. A correct description of radiation necessarily involves several modes. In this lesson, you will learn how canonical quantization can be easily generalized to the case of several modes, and how various observables or important quantities introduced in the single mode case are expressed in the multimode case. Beyond the formalism that you must learn to be able to read papers and books describing real situtations, you will encounter in this lesson some intriguing features of the quantum formalism: firstly, the unbelievably large size of the space of states, which is the reason for the unlimited potential power of quantum information; secondly, the question of infinities, a problem which was solved by the general procedure of renormalization. Note that optional readings are proposed as resources of some lectures....
Reading
8 個視頻 (總計 60 分鐘), 3 個閱讀材料, 2 個測驗
Video8 個視頻
4.1 Canonical quantization of multimode radiation14分鐘
4.2 Eigen-states of the Hamiltonian: space of states, energy of the vacuum7分鐘
4.3 Total number of photons2分鐘
4.4 Linear and angular momentum6分鐘
4.5 Field observables: vacuum fluctuations4分鐘
4.6 Photo-detection signals12分鐘
4.7 Conclusion: what you have learned; the quantum vacuum7分鐘
Reading3 個閱讀材料
Paper of Glauber 1983 on quantum formalism of light10分鐘
Homework 430分鐘
homework 4 corrected30分鐘
Quiz2 個練習
Video 4.46分鐘
Homework 4 evaluation22分鐘

講師

Avatar

Alain Aspect

Professor
Physics
Avatar

Michel Brune

Professor
Physics

關於 École Polytechnique

L’École polytechnique associe recherche, enseignement et innovation au meilleur niveau scientifique et technologique mondial pour répondre aux défis du XXIe siècle. En tête des écoles d’ingénieur françaises depuis plus de 200 ans, sa formation promeut une culture d’excellence scientifique pluridisciplinaire, ouverte dans une forte tradition humaniste. ...

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  • 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...

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