COURSE INTRODUCTION AND APPLICATION INFORMATION

Course Name
Introduction to Open Quantum Systems
Code
Semester
Theory
(hour/week)
Application/Lab
(hour/week)
Local Credits
ECTS
PHYS 413
Fall/Spring
2
2
3
5
Prerequisites
 PHYS 307To get a grade of at least FD
Course Language
English
Course Type
Elective
Course Level
First Cycle
Mode of Delivery Online
Teaching Methods and Techniques of the Course Discussion
Problem Solving
Lecture / Presentation
Course Coordinator -
Course Lecturer(s)
Assistant(s)
Course Objectives The main objective of this course is to introduce students to the theory of open quantum systems, whose understanding is fundamental for the development of quantum information processing devices. Both the general formalism of the theory and specific examples will be discussed.
Learning Outcomes The students who succeeded in this course;
  • formulate the dynamics of open quantum systems.
  • perform quantum mechanical calculations using the language of density matrices.
  • explain the underlying physical reasons for the familiar classical appearance of the macroscopic world.
  • classify Markovian and non-Markovian processes in open quantum systems.
  • calculate the degree of memory effects in quantum processes, occurring due to the non-Markovian dynamics.
Course Description In this course, we will cover the subjects of density matrix formalization, Markovian master equations, quantum optical master equation, quantum decoherence, non-Markovian quantum processes, projection operator techniques, non-Markovian dynamics in physical models, Jaynes-Cummings model.

 



Course Category

 Core Courses
Major Area Courses
X
Supportive Courses
Media and Managment Skills Courses
Transferable Skill Courses

 

WEEKLY SUBJECTS AND RELATED PREPARATION STUDIES

Week Subjects Required Materials
1 Open and closed quantum systems Heinz-Peter Breuer and Francesco Petruccione, The Theory of Open Quantum Systems (Oxford University Press, 2007). Chapter 3.1. ISBN: 9780199213900
2 Open and closed quantum systems Heinz-Peter Breuer and Francesco Petruccione, The Theory of Open Quantum Systems (Oxford University Press, 2007). Chapter 3.1. ISBN: 9780199213900
3 Quantum master equations Heinz-Peter Breuer and Francesco Petruccione, The Theory of Open Quantum Systems (Oxford University Press, 2007). Chapter 3.1.3. ISBN: 9780199213900
4 Quantum master equations Heinz-Peter Breuer and Francesco Petruccione, The Theory of Open Quantum Systems (Oxford University Press, 2007). Chapter 3.2. ISBN: 9780199213900
5 Markovian master equations Heinz-Peter Breuer and Francesco Petruccione, The Theory of Open Quantum Systems (Oxford University Press, 2007). Chapter 3.3. ISBN: 9780199213900
6 Quantum optical master equation Heinz-Peter Breuer and Francesco Petruccione, The Theory of Open Quantum Systems (Oxford University Press, 2007). Chapter 3.4. ISBN: 9780199213900
7 Midterm exam 1
8 Quantum decoherence Heinz-Peter Breuer and Francesco Petruccione, The Theory of Open Quantum Systems (Oxford University Press, 2007). Chapter 4. ISBN: 9780199213900
9 Non-Markovian quantum processes Heinz-Peter Breuer and Francesco Petruccione, The Theory of Open Quantum Systems (Oxford University Press, 2007). Chapter 9.1. ISBN: 9780199213900
10 Projection operator techniques Heinz-Peter Breuer and Francesco Petruccione, The Theory of Open Quantum Systems (Oxford University Press, 2007). Chapter 9.2. ISBN: 9780199213900
11 Non-Markovian dynamics in physical models Heinz-Peter Breuer and Francesco Petruccione, The Theory of Open Quantum Systems (Oxford University Press, 2007). Chapter 10.1. ISBN: 9780199213900
12 Non-Markovian dynamics in physical models, Midterm Exam 2 Heinz-Peter Breuer and Francesco Petruccione, The Theory of Open Quantum Systems (Oxford University Press, 2007). Chapter 10.2. ISBN: 9780199213900
13 Example models for non-Markovian dynamics Heinz-Peter Breuer and Francesco Petruccione, The Theory of Open Quantum Systems (Oxford University Press, 2007). Chapter 10.3. ISBN: 9780199213900
14 Example models for non-Markovian dynamics Heinz-Peter Breuer and Francesco Petruccione, The Theory of Open Quantum Systems (Oxford University Press, 2007). Chapter 10.3. ISBN: 9780199213900
15 Semester review
16 Final exam
Course Notes/Textbooks

Heinz-Peter Breuer and Francesco Petruccione, The Theory of Open Quantum Systems (Oxford University Press, 2007). ISBN: 9780199213900
Suggested Readings/Materials

 

EVALUATION SYSTEM

Semester Activities Number Weigthing
Participation
1
10
Laboratory / Application
Field Work
Quizzes / Studio Critiques
Portfolio
Homework / Assignments
1
10
Presentation / Jury
Project
Seminar / Workshop
Oral Exam
Midterm
2
40
Final Exam
1
40
Total

Weighting of Semester Activities on the Final Grade
4
60
Weighting of End-of-Semester Activities on the Final Grade
1
40
Total

ECTS / WORKLOAD TABLE

Semester Activities Number Duration (Hours) Workload
Course Hours
(Including exam week: 16 x total hours)
16
2
32
Laboratory / Application Hours
(Including exam week: 16 x total hours)
16
2
Study Hours Out of Class
12
3
36
Field Work
Quizzes / Studio Critiques
Portfolio
Homework / Assignments
5
2
Presentation / Jury
Project
Seminar / Workshop
Oral Exam
Midterms
2
10
Final Exams
1
20
    Total
150

 

COURSE LEARNING OUTCOMES AND PROGRAM QUALIFICATIONS RELATIONSHIP

#
 Program Competencies/Outcomes
* Contribution Level
1
2
3
4
5
1

To be able master and use fundamental phenomenological and applied physical laws and applications,

 X
2

To be able to identify the problems, analyze them and produce solutions based on scientific method,

 X
3

To be able to collect necessary knowledge, able to model and self-improve in almost any area where physics is applicable and able to criticize and reestablish his/her developed models and solutions,

 X
4

To be able to communicate his/her theoretical and technical knowledge both in detail to the experts and in a simple and understandable manner to the non-experts comfortably,
5

To be familiar with software used in area of physics extensively and able to actively use at least one of the advanced level programs in European Computer Usage License,
6

To be able to develop and apply projects in accordance with sensitivities of society and behave according to societies, scientific and ethical values in every stage of the project that he/she is part in,
7

To be able to evaluate every all stages effectively bestowed with universal knowledge and consciousness and has the necessary consciousness in the subject of quality governance,
8

To be able to master abstract ideas, to be able to connect with concreate events and carry out solutions, devising experiments and collecting data, to be able to analyze and comment the results,
9

To be able to refresh his/her gained knowledge and capabilities lifelong, have the consciousness to learn in his/her whole life,

 X
10

To be able to conduct a study both solo and in a group, to be effective actively in every all stages of independent study, join in decision making stage, able to plan and conduct using time effectively.
11

To be able to collect data in the areas of Physics and communicate with colleagues in a foreign language ("European Language Portfolio Global Scale", Level B1).
12

To be able to speak a second foreign at a medium level of fluency efficiently
13

To be able to relate the knowledge accumulated throughout the human history to their field of expertise.

*1 Lowest, 2 Low, 3 Average, 4 High, 5 Highest