课程信息
4.7
66 个评分
12 个审阅
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完成时间(小时)

完成时间大约为29 小时

建议:7 weeks of study, 4-5 hours / week...
可选语言

英语(English)

字幕:英语(English)
100% 在线

100% 在线

立即开始,按照自己的计划学习。
可灵活调整截止日期

可灵活调整截止日期

根据您的日程表重置截止日期。
完成时间(小时)

完成时间大约为29 小时

建议:7 weeks of study, 4-5 hours / week...
可选语言

英语(English)

字幕:英语(English)

教学大纲 - 您将从这门课程中学到什么

1
完成时间(小时)
完成时间为 5 小时

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 个视频 (总计 119 分钟), 3 个阅读材料, 10 个测验
Video13 个视频
1.0 Introduction to Lesson 15分钟
1.1 Canonical quantization10分钟
1.2.1 Material harmonic oscillator /111分钟
1.2.2 Material harmonic oscillator /212分钟
1.3 Single mode of radiation9分钟
1.4 Canonical quantization of a single mode10分钟
1.5 Observables6分钟
1.6 Number states; Photon7分钟
1.7 Vacuum fluctuations5分钟
1.8 What have we learnt? What next?4分钟
Introduction to homework 111分钟
Quantization of classical oscillators12分钟
Reading3 个阅读材料
Homework 1分钟
Correction of Homework 130分钟
Einstein's 1905 paper introducing the "photon"0
Quiz10 个练习
Questions about the general introduction8分钟
Practice quiz video 1.110分钟
Practice quiz video 1.2.14分钟
Video 1.2.2.6分钟
Video 1.34分钟
Video 1.48分钟
Video 1.52分钟
Video 1.72分钟
Video 1.82分钟
Homework 1 evaluation16分钟
2
完成时间(小时)
完成时间为 3 小时

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 个视频 (总计 52 分钟), 2 个阅读材料, 5 个测验
Video7 个视频
2.1 The semi-classical model of optics9分钟
2.2 One-photon state in a single mode10分钟
2.3 Photo-detection signals7分钟
2.4 Single photo-detection signal for a one photon state4分钟
2.5 Double photo-detection signal for a one photon state: a fully quantum behavior6分钟
2.6 Quantum optics: a must9分钟
Reading2 个阅读材料
Homework 2分钟
Correction of Homework 230分钟
Quiz5 个练习
Video 2.14分钟
Video 2.22分钟
Video 2.32分钟
Video 2.68分钟
Homework 2 evaluation18分钟
3
完成时间(小时)
完成时间为 3 小时

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 个视频 (总计 56 分钟), 3 个阅读材料, 4 个测验
Video6 个视频
3.1 Beam-splitter in quantum optics16分钟
3.2 One photon wave-packet on a beam splitter9分钟
3.3 Mach-Zehnder interferometer in classical optics9分钟
3.4 One-photon interference5分钟
3.5 Wave-particle duality: “a quantum mystery”; a consistent formalism7分钟
Reading3 个阅读材料
Homework 3分钟
Homework 3 correction30分钟
A historical feeble light interference experiment10分钟
Quiz4 个练习
Video 3.1 Tensor product properties6分钟
Video 3.2 Transforming photon number operator on a BS2分钟
Final practice quiz2分钟
Homework 3 evaluation20分钟
4
完成时间(小时)
完成时间为 4 小时

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 个视频 (总计 60 分钟), 3 个阅读材料, 2 个测验
Video8 个视频
4.1 Canonical quantization of multimode radiation14分钟
4.2 Eigen-states of the Hamiltonian: space of states, energy of the vacuum7分钟
4.3 Total number of photons2分钟
4.4 Linear and angular momentum6分钟
4.5 Field observables: vacuum fluctuations4分钟
4.6 Photo-detection signals12分钟
4.7 Conclusion: what you have learned; the quantum vacuum7分钟
Reading3 个阅读材料
Paper of Glauber 1983 on quantum formalism of light10分钟
Homework 430分钟
homework 4 corrected30分钟
Quiz2 个练习
Video 4.46分钟
Homework 4 evaluation22分钟

讲师

Avatar

Alain Aspect

Professor
Physics
Avatar

Michel Brune

Professor
Physics

关于 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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