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 413To get a grade of at least FD
Course Language
English
Course Type
Elective
Course Level
First Cycle
Mode of Delivery -
Teaching Methods and Techniques of the Course
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;
  • will develop an understanding of the general formulation of open quantum systems theory and its basic applications.
  • will be able to study quantum mechanics using the language of density operators.
  • will be able to characterize Markovian and non-Markovian processes in open quantum systems.
  • will be able to discuss the underlying physical reasons for the familiar classical appearance of the macroscopic world.
  • will be able analyze the emergence of memory effects in quantum processes, occurring due to the non-Markovian dynamics.
Course Description Throughout this course, the following subjects will be covered: 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, and the measures of non-Markovianity.
Related Sustainable Development Goals

 



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 The Theory of Open Quantum Systems, Heinz-Peter Breuer and Francesco Petruccione, Oxford (Chapter 3.1)
2 Density Matrix Formulization
3 Quantum Master Equations The Theory of Open Quantum Systems, Heinz-Peter Breuer and Francesco Petruccione, Oxford (Chapter 3.1)
4 Quantum Master Equations The Theory of Open Quantum Systems, Heinz-Peter Breuer and Francesco Petruccione, Oxford (Chapter 3.2)
5 Markovian Master Equations The Theory of Open Quantum Systems, Heinz-Peter Breuer and Francesco Petruccione, Oxford (Chapter 3.3)
6 Quantum Optical Master Equation The Theory of Open Quantum Systems, Heinz-Peter Breuer and Francesco Petruccione, Oxford (Chapter 3.4)
7 Quantum Decoherence The Theory of Open Quantum Systems, Heinz-Peter Breuer and Francesco Petruccione, Oxford (Chapter 4)
8 Review of the First Half of the Course
9 Non-Markovian Quantum Processes The Theory of Open Quantum Systems, Heinz-Peter Breuer and Francesco Petruccione, Oxford (Chapter 9)
10 Projection Operator Techniques The Theory of Open Quantum Systems, Heinz-Peter Breuer and Francesco Petruccione, Oxford (Chapter 9)
11 Non-Markovian Dynamics in Physical Models The Theory of Open Quantum Systems, Heinz-Peter Breuer and Francesco Petruccione, Oxford (Chapter 10)
12 Jaynes-Cummings Model The Theory of Open Quantum Systems, Heinz-Peter Breuer and Francesco Petruccione, Oxford (Chapter 10)
13 Example Models for Non-Markovian Dynamics The Theory of Open Quantum Systems, Heinz-Peter Breuer and Francesco Petruccione, Oxford (Chapter 10)
14 Measures of Non-Markovianity
15 Review of the Semester
16 Final Exam
Course Notes/Textbooks

The Theory of Open Quantum Systems, Heinz-Peter Breuer and Francesco Petruccione, Oxford

Suggested Readings/Materials

Open Quantum Systems, Angel Rivas and Susana F. Huelga, Springer

 

EVALUATION SYSTEM

Semester Activities Number Weigthing
Participation
1
10
Laboratory / Application
Field Work
Quizzes / Studio Critiques
Portfolio
Homework / Assignments
5
20
Presentation / Jury
Project
Seminar / Workshop
Oral Exam
Midterm
1
30
Final Exam
1
40
Total

Weighting of Semester Activities on the Final Grade
7
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
16
2
32
Field Work
Quizzes / Studio Critiques
Portfolio
Homework / Assignments
2
Presentation / Jury
Project
Seminar / Workshop
Oral Exam
Midterms
1
20
Final Exams
1
24
    Total
140

 

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,

X
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,

X
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,

X
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.

X
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).

X
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