2017 Quantum Physics in Optical Response of Materials

Font size  SML

Register update notification mail Add to favorite lecture list
Academic unit or major
Graduate major in Materials Science and Engineering
Nakamura Kazutaka 
Class Format
Media-enhanced courses
Day/Period(Room No.)
Mon1-2(G111)  Thr1-2(G111)  
Course number
Academic year
Offered quarter
Syllabus updated
Lecture notes updated
Language used
Access Index

Course description and aims

This course gives fundamentals of quantum mechanical description for interaction between light and matter. The students learn description of quantum state using state vectors, equation of motions with three pictures, harmonic oscillators, coherent states. In addition, recent research results of coherent control will be presented.

The aim of this course is to understand the light matter interaction using quantum mechanical description.

Student learning outcomes

By the end of this course, students will be able to:
1) describe photo induced process in materials by using quantum mechanics
2) solve typical problems on light-matter interaction.


Quantum mechanics, light matter interaction, non-linear spectroscopy, LASER

Competencies that will be developed

Specialist skills Intercultural skills Communication skills Critical thinking skills Practical and/or problem-solving skills

Class flow

Each topics consist of lecture and exercise. By solving problems in exercise terms, students can evaluate their understanding.

Course schedule/Required learning

  Course schedule Required learning
Class 1 State vector and operator Describe quantum state using a state vector.
Class 2 Exercise of state vector and operator Exercise of state vector and operator by solving problems.
Class 3 Time evolution of quantum state Learn the equation of motion for a quantum system i.e. Shrodinger, Heisenberg, and Interaction pictures.
Class 4 Exercise of time evolution of quantum state Exercise of time evolution of quantum state by solving problems.
Class 5 Harmonic oscillator Describe harmonic oscillator as quantum mechanics and learn on creation/annihilation operators and number states.
Class 6 Exercise of harmonic oscillator Exercise of harmonic oscillator by solving problems.
Class 7 Quantization of electromagnetic field Learn quantization of electromagnetic field based on treatment of harmonic oscillators.
Class 8 Exercise of quantization of electromagnetic field Exercise of quantization of electromagnetic field by solving problems.
Class 9 Coherent state Learn the coherent states; definition and character.
Class 10 Exercise of coherent state Exercise of coherent state by solving problems.
Class 11 Density operator Learn how to describe the system with a density matrix; time evolution of density matrix and Feynman diagram.
Class 12 Exercise of density operator Exercise of density operator by solving problems.
Class 13 Optical process for 2-level system Learn how we calculate the light-matter interaction using a simple 2-level system.
Class 14 Exercise of optical process for 2-level system Exercise of optical process for 2-level system by solving problems.
Class 15 Summary of lecture and check understanding Check each understanding on the quantum descriptin for the light matter interaction.


Refer to either of the following reference books.

Reference books, course materials, etc.

"Modern Quantum Mechnics" by J.J. Sakuraiand J.J. Napolitano (Pearson Education Limited 2014) ISBN 10:1-292-02410-0
"Principles of Nonlinear optical spectroscopy" by S. Mukamel (Oxford University Press 1995) ISBN 0-190509278-3
"Principles of Nonlinear optical spectroscopy: A practical Approach" by P. Hamm (www.mitr.p.lodz.pl/evu/lectures/Hamm.pdf‎)

Assessment criteria and methods

Students are evaluated whether they understand the quantum description of the light matter interaction based on the score of the test and exercises.

Related courses

  • MAT.A203 : Quantum Mechanics of Materials
  • PHY.Q435 : Quantum Information

Prerequisites (i.e., required knowledge, skills, courses, etc.)

Students are required to study "Quantum Physics" or "Quantum Chemistry" or related subjects in undergraduate courses.

Page Top