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XuetangX

现代光学(全英文)

Beijing Institute of Technology via XuetangX

Overview

       在现代光学课程中,我们将学习如何从基本量子物理的角度认识光,以及如何研究光子与物质的相互作用,光的量子描述对经典光学带来的不同之处和修正,对于近年来飞速发展的量子信息与量子计算等领域,本课程内容提供了必要的理论基础。本课程共64学时,分为12周,学习本课程前学生应对量子力学、电动力学有基本了解,对经典光学和原子基本能级结构有基本认识,主要面向光学方向的研究生。本课程一方面会讲授量子光学的基础理论,另一方面也会对近年来在激光、光纤、光子晶体等领域的实验进展做详细介绍。该课程作为光学方向研究生的专业核心课,在物理学院的研究生教学当中长期占有重要的位置,至今为止已连续开设18届,教学大纲、教案齐备。其内容以量子光学为核心,通过将理论知识和最前沿的科研进展相结合,力争帮助学生尽快地进入研究工作。

       课程团队成员在量子光学领域有着多年的研究经验,并且都有长期的国外留学经历(四年以上),能很好地把握本课程内容及发展方向。在长期的教学实践中,结合量子光学研究前沿,特别是物理学院院老师的研究方向,不断丰富和改进课程内容,逐渐形成了具有建立本院特色的内容体系。

       在专业知识和课程思政融合方面,通过在教学过程中介绍相关领域的中国科学家的成长事迹和为国奉献的精神,培养学生的爱国情怀和民族自豪感,帮助学生树立正确的人生观和世界观。本课程主要采用ppt课件形式授课,课件充分结合国际前沿和本院具体涉及的研究领域,内容全部由课程团队独立编写。

Syllabus

  • 01 Quantized theory of EM field
    • 1.1 Introduction
    • 1.2 Single particle canonical quantization
    • 1.3 Harmonic oscillator
    • 1.4 Normal modes of the EM field and quantization
    • 1.5 Coherent state
    • 1.6 Exercises
  • 02 Representation of optical quantum states
    • 2.1 Density matrix
    • 2.2 P-function and Q-function
    • 2.3 Wigner function
    • 2.4 Exercises
  • 03 Squeezed state
    • 3.1 Squeezed state
    • 3.2 The Wigner and P-function of the squeezed state
    • 3.3 The photon statistics of the squeezed state
    • 3.4 Exercises
  • 04 Atom-light interaction – classical theory
    • 4.1 Electric dipole operator
    • 4.2 Rabi oscillation
    • 4.3 Exercises
  • 05 Atom-light interaction – quantum theory
    • 5.1 Atom-light interaction – quantum theory
    • 5.2 Jaynes-Cummings model
    • 5.3 Exercises
  • 06 High-order coherence of light
    • 6.1 The high-order correlation function of light
    • 6.2 The high-order coherence of light
    • 6.3 Exercises
  • 07 Open quantum systems – the loss and decoherence of a quantum system
    • 7.1 Isolated quantum systems and open systems
    • 7.2 Why phenomenological theory fails
    • 7.3 Solution: coupling system to bath
    • 7.4 Exercises
  • 08 Input output theory of cavities – coupling a cavity to a bath
    • 8.1 Basic model
    • 8.2 Quantum differential equation for cavity modes
    • 8.3 The output field
    • 8.4 Quantum Langevin equations
    • 8.5 Exercises
  • 09 Master equation ρ˙ = i[ρ, H] – its derivation and applications
    • 9.1 What is master equation
    • 9.2 The derivation of master equation
    • 9.3 Exercises
  • 10 Lindblad equations and spontaneous emission – its derivation and applications
    • 10.1 Rotating frame
    • 10.2 Basic model of open systems described by master equation
    • 10.3 Spontaneous emission of atoms
    • 10.4 Exercises
  • 11 Maxwell Bloch Equation
    • 11.1 Polarization
    • 11.2 Bloch equations
    • 11.3 Maxwell Bloch equation
    • 11.4 Exercises
  • 12 Quantum trajectories – how randomness enters quantum mechanics
    • 12.1 Basics model of open quantum system
    • 12.2 Quantum Trajectories
    • 12.3 Example
    • 12.4 Exercises
  • 13 Frontiers in Photonics– Laser
    • 13.1 Stimulated transition
    • 13.2 Light interacts with 2-level atoms
    • 13.3 Laser in 3-level atoms
    • 13.4 Exercises
  • 14 Frontiers in Photonics – Dispersion relation
    • 14.1 Linear Response Theory
    • 14.2 Monochromatic plane wave
    • 14.3 Dispersion relation
    • 14.4 Exercises
  • 15 Frontiers in Photonics – photonic crystals
    • 15.1 Bloch’s Theorem
    • 15.2 Photonic crystal band gap.
    • 15.3 Exercises
  • Final exam

    Taught by

    SHENGWEN LI and Yu-Hui (Stephen) Chen

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