About this Course
최근 조회 10,163

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지금 바로 시작해 나만의 일정에 따라 학습을 진행하세요.

유동적 마감일

일정에 따라 마감일을 재설정합니다.

완료하는 데 약 25시간 필요

권장: 7 weeks of study, 4-5 hours / week...

영어

자막: 영어

100% 온라인

지금 바로 시작해 나만의 일정에 따라 학습을 진행하세요.

유동적 마감일

일정에 따라 마감일을 재설정합니다.

완료하는 데 약 25시간 필요

권장: 7 weeks of study, 4-5 hours / week...

영어

자막: 영어

강의 계획 - 이 강좌에서 배울 내용

1
완료하는 데 5시간 필요

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.

...
13 videos (Total 119 min), 3 readings, 10 quizzes
13개의 동영상
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
3개의 읽기 자료
Homework 11h
Correction of Homework 130m
Einstein's 1905 paper introducing the "photon"
10개 연습문제
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
2
완료하는 데 3시간 필요

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.

...
7 videos (Total 52 min), 2 readings, 5 quizzes
7개의 동영상
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
2개의 읽기 자료
Homework 21h
Correction of Homework 230m
5개 연습문제
Video 2.14m
Video 2.22m
Video 2.32m
Video 2.68m
Homework 2 evaluation18m
3
완료하는 데 3시간 필요

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 .

...
6 videos (Total 56 min), 3 readings, 4 quizzes
6개의 동영상
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
3개의 읽기 자료
Homework 31h
Homework 3 correction30m
A historical feeble light interference experiment10m
4개 연습문제
Video 3.1 Tensor product properties6m
Video 3.2 Transforming photon number operator on a BS2m
Final practice quiz2m
Homework 3 evaluation20m
4
완료하는 데 4시간 필요

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.

...
8 videos (Total 60 min), 3 readings, 2 quizzes
8개의 동영상
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
3개의 읽기 자료
Paper of Glauber 1983 on quantum formalism of light10m
Homework 41시 30분
homework 4 corrected30m
2개 연습문제
Video 4.46m
Homework 4 evaluation22m
4.8
17개의 리뷰Chevron Right

Quantum Optics 1 : Single Photons의 최상위 리뷰

대학: ANFeb 18th 2019

This course give me a brief idea about single photon. Thank you for providing such a good course.

대학: RCJul 13th 2017

A course worth taking for those seeking an introduction to Quantum Optics.

강사

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Alain Aspect

Professor
Physics
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Michel Brune

Professor
Physics

에콜폴리테크니크 정보

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. ...

자주 묻는 질문

  • 강좌에 등록하면 바로 모든 비디오, 테스트 및 프로그래밍 과제(해당하는 경우)에 접근할 수 있습니다. 상호 첨삭 과제는 이 세션이 시작된 경우에만 제출하고 검토할 수 있습니다. 강좌를 구매하지 않고 살펴보기만 하면 특정 과제에 접근하지 못할 수 있습니다.

  • 수료증을 구매하면 성적 평가 과제를 포함한 모든 강좌 자료에 접근할 수 있습니다. 강좌를 완료하면 전자 수료증이 성취도 페이지에 추가되며, 해당 페이지에서 수료증을 인쇄하거나 LinkedIn 프로필에 수료증을 추가할 수 있습니다. 강좌 콘텐츠만 읽고 살펴보려면 해당 강좌를 무료로 청강할 수 있습니다.

  • 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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