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Quantum Optics 1 : Single Photons · LearnSpace
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Quantum Optics 1 : Single Photons

Курс от École Polytechnique
Уровень не указан≈ 33 чАнглийский
О курсеНавыкиПрограммаПреподаватели

О курсе

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.

Навыки, которые вы освоите

PhysicsMathematical ModelingCryptographyelectromagneticsExperimentationLaboratory ResearchEmerging Technologies

Программа курса

7 модулей · 98 учебных материалов

01Quantization of light: one mode 26 материалов

General introduction to the course

0.0 General introduction to the courseВидеоQuestions about the general introductionЗадание

Lesson 1: Quantization of free radiation: one mode

1.0 Introduction to Lesson 1Видео1.1 Canonical quantizationВидео

Учитесь у экспертов

Alain Aspect

Professor

Michel Brune

Professor

Quantum Optics 1 : Single Photons
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Обучение откроется на Coursera
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Обучение на Coursera

≈ 33 ч

7 модулей

Язык: Английский

Субтитры: Арабский, Французский, Бенгальский, Украинский, Китайский (Китай), Греческий, Итальянский, Бразильский португальский, Нидерландский, Корейский, Немецкий, Пушту, Урду, Русский, Тайский, Индонезийский, Шведский, Турецкий, Азербайджанский, Испанский, Дари, Хинди, Японский, Казахский, Венгерский, Польский

Часть программы вашего университета
Practice quiz video 1.1Задание
1.2.1 Material harmonic oscillator /1Видео
Practice quiz video 1.2.1Задание
1.2.2 Material harmonic oscillator /2Видео
Video 1.2.2.Задание
1.3 Single mode of radiationВидео
Video 1.3Задание
1.4 Canonical quantization of a single modeВидео
Video 1.4Задание
1.5 ObservablesВидео
Video 1.5Задание
1.6 Number states; PhotonВидео
1.7 Vacuum fluctuationsВидео
Video 1.7Задание
1.8 What have we learnt? What next?Видео
Video 1.8Задание

Homework 1: quantization of a standing wave in a cavity

Introduction to homework 1ВидеоHomework 1ЧтениеHomework 1 evaluationЗаданиеCorrection of Homework 1ЧтениеQuantization of classical oscillatorsВидео

Lecture 1. Complementary documents

Einstein's 1905 paper introducing the "photon"Чтение
02One photon state in a single mode: particle-like behaviour14 материалов

Lesson 2. One photon state in a single mode: particle-like behaviour

2.0 IntroductionВидео2.1 The semi-classical model of opticsВидеоVideo 2.1Задание2.2 One-photon state in a single modeВидеоVideo 2.2Задание2.3 Photo-detection signalsВидеоVideo 2.3Задание2.4 Single photo-detection signal for a one photon stateВидео2.5 Double photo-detection signal for a one photon state: a fully quantum behaviorВидео2.6 Quantum optics: a mustВидеоVideo 2.6Задание

Homework 2: The "coherent states" of light

Homework 2ЧтениеHomework 2 evaluationЗаданиеCorrection of Homework 2Чтение
03One photon interference: Wave-Particle duality13 материалов

Lesson 3. One photon interference: Wave-Particle duality

3.0 Introduction to Lesson 3Видео3.1 Beam-splitter in quantum opticsВидеоVideo 3.1 Tensor product propertiesЗадание3.2 One photon wave-packet on a beam splitterВидеоVideo 3.2 Transforming photon number operator on a BSЗадание3.3 Mach-Zehnder interferometer in classical opticsВидео3.4 One-photon interferenceВидео3.5 Wave-particle duality: “a quantum mystery”; a consistent formalismВидеоFinal practice quizЗадание

Homework 3: Field state transformation on a beamsplitter

Homework 3ЧтениеHomework 3 evaluationЗаданиеHomework 3 correctionЧтение

Lesson 3: Complementary documents

A historical feeble light interference experimentЧтение
04Multimode quantized radiation: quantum optics in a real lab13 материалов

Lesson 4 - Multimode quantized radiation: quantum optics in a real lab

4.0 Introduction to lesson 4Видео4.1 Canonical quantization of multimode radiationВидео4.2 Eigen-states of the Hamiltonian: space of states, energy of the vacuumВидео4.3 Total number of photonsВидео4.4 Linear and angular momentumВидеоVideo 4.4Задание4.5 Field observables: vacuum fluctuationsВидео4.6 Photo-detection signalsВидео4.7 Conclusion: what you have learned; the quantum vacuumВидеоPaper of Glauber 1983 on quantum formalism of lightЧтение

Homework 4: Multimode radiation field states: localized single photon state

Homework 4ЧтениеHomework 4 evaluationЗаданиеhomework 4 correctedЧтение
05One photon sources in the real world10 материалов

Lesson 5 - One photon sources in the real world

5.0 Introduction to Lesson 5Видео5.1 Heisenberg formalism: photo-detection signalsВидео5.2 Multimode one-photon wave-packetВидео5.3 Spontaneous emission photonВидео5.4 A detour to Fourier transformsВидео5.5 Real one-photon sourcesВидео5.6 One-photon sources for what?Видео

Homework 5: Generation of photon pairs by parametric down conversion

Homework 5ЧтениеEvaluation of homework 5ЗаданиеHomework 5 correctedЧтение
06Wave-particle duality for a single photon in the real world12 материалов

Lesson 6 Wave-particle duality for a single photon in the real world

6.0 Introduction to Lesson 6Видео6.1 Anti-correlation for a one-photon wave-packet on a beam-splitterВидео6.2 Anti-correlation experiments: fully quantum behaviorВидео6.3 Anti-correlation with supplementary photonsВидео6.4 One-photon interference signalВидеоvideo 6.4Задание6.5 One photon interference experimentВидео6.6 Wave particle duality and complementarityВидео6.7 A fruitful mysteryВидео

Homework 6: Shot-noise limit of interferometry

Homework 6ЧтениеEvaluation of homework 6ЗаданиеCorrection of homework 6Чтение
07One-photon based quantum technologies 10 материалов

Lesson 7. One-photon based quantum technologies

7.0 The second quantum revolution: from concepts to technologyВидео7.1 Quantum random numbers generator (QRNG)ВидеоVideo 7.1Задание7.2 Weak light pulses on a beam-splitterВидео7.3 One-photon polarization as a qubitВидео7.4 Quantum cryptography: the BB84 QKD schemeВидео7.5 The no-cloning theoremВидео7.6 Conclusion of the lesson and of Quantum Optics 1Видео

Homework 7

Homework 7ЧтениеEvaluation of homework 7 (non graded)Задание