Course syllabus
Course-PM
MCC180 Open quantum systems lp4 VT24 (7.5 hp)
The course is offered by the department of Microtechnology and Nanoscience in English.
The lectures take place in hbar C511 at MC2, if nothing else is communicated.
Contact details
- Göran Johansson, goran.l.johansson@chalmers.se
- Thilo Bauch, thilo.bauch@chalmers.se
- Timo Hillmann, hillmann@chalmers.se
- Zeidan Zeidan, zeidan.zeidan@chalmers.se
Course purpose
Realistic descriptions of systems used for quantum technologies need to include imperfections, originating from remaining weak interactions with uncontrolled parts of the environment. The effects of such imperfections are often described using Lindblad master equations, determining the time evolution of the system’s density matrix. The purpose of this course is to go through both a microscopic derivation of these equations as well as to give examples of the most common uses of these equations in practical quantum systems. The examples include a practical laboratory session on a system used for quantum technology, e.g. experimentally determining coherence properties of a small superconducting quantum circuit, to complement the theoretical description with hands-on experience.
Schedule
Course literature
"The theory of open quantum systems", H.-P. Breuer and F. Petruccione, Oxford University Press
Course design
Preliminary course schedule
Lectures W1 (week 13)
24/3 Mon Lecture 1 13:15-15:00
Introduction to Open Quantum Systems
Introduce density matrices
24/3 Monday Tutorial 1 15:15-17:00
TBA
27/3 Thursday Lecture 2 10:00-11:45
Introducing Lindblad Master equation
28/3 Friday Lecture 3 15:15-17:00
General derivation from weak coupling to a bath
Lecture W2 (week 14)
31/3 Monday Lecture 4 13:15-15:00
Quantizing Electrical Circuits
31/3 Monday Tutorial 2 15:15-17:00
TBA
3/4 Thursday Lecture 5 10:00-11:45
Quantizing Electrical Circuits 2 (LC + JJ + Transmission)
4/4 Friday Lecture 6 15:15-17:00
Quantizing Electrical Circuits 3 (LC + JJ + Transmission)
Lecture W3 (week 14)
7/4 Monday Lecture 7 13:15-15:00
Introducing Bloch equations and expressions for T1 and T2
7/4 Monday Tutorial 3 15:15-17:00
TBA
10/4 Thursday Lecture 8 10:00-11:45
SPAM errors and randomized bench-marking
11/4 Friday Lecture 9 15:15-17:00
Input- and output operators, coherent states, and the damped harmonic oscillator
Easter Break / Self-study W4 (week 16)
Lecture W5 (week 17)
24/4 Thursday Lecture 10 08:00-9:45
Quantum Trajectories 1
24/4 Thursday Tutorial 4 10:00-11:45
TBA
Lecture W6 (week 18)
28/4 Mon Lecture 11 13:15-15:00
Quantum Trajectories 2
Lecture W7 (week 19)
5/5 Monday Lecture 12 13:15-15:00
Input-output formalism 1
8/5 Thursday Lecture 13 08:00-09:45
Input-output formalism 2
8/5 Thursday Tutorial 5 10:00-11:45
TBA
9/5 Friday Lecture 14 15:15-17:00
Weak measurements 1
Lecture W8 (week 20)
12/5 Monday Lecture 15 13:15-15:00
Weak measurements 2
15/5 Thursday Tutorial 6 15:15-17:00
TBA
Lab week (week 21)
Lecture W10 (week 22)
26/5 Monday Lecture 16 13:15-15:00
TBA
Changes made since the last occasion
A summary of changes made since the last occasion.
Learning outcomes
Link to the syllabus on Studieportalen.
Examination including compulsory elements
Examination and grading will be based on the solutions to the hand-in problems and performance on the final written examination. The lab report part is graded with pass/fail.
The total score will be calculated from the weighted score of the exam (60%) and the score of the hand-ins (40%). The grade limits are: 40%-59% Grade 3, 60-79% Grade 4, and 80-100% Grade 5.
The written examination will contain questions where you need to calculate the answer. These will be possible to solve if you remember what you did on the hand-ins. There will also be conceptual questions. If you think through the study questions at the end of the lecture notes, this is a good preparation. You are allowed to bring one A4 paper with handwritten notes (both sides).
Course summary:
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