Duration
20h Th, 10h Proj.
Number of credits
| Master in physics, research focus | 4 crédits | |||
| Master in physics, teaching focus | 4 crédits | |||
| Master in physics, professional focus in medical radiophysics | 4 crédits |
Lecturer
Coordinator
Language(s) of instruction
English language
Organisation and examination
Teaching in the second semester
Schedule
Units courses prerequisite and corequisite
Prerequisite or corequisite units are presented within each program
Learning unit contents
In principle, all quantum systems interact with their environment. The study of these so-called 'open' quantum systems is a major challenge for the development of quantum science and technologies. This course is an introduction to open quantum systems, the standard computational methods used to study their dynamics and properties, and their applications in a variety of contexts.
The course is divided into 10 2-hour sessions. The first 5 sessions will be given by J. Martin and the following 5 by F. Damanet. The course will follow the following table of contents:
- Introduction: background, mathematical tools, Kraus representation, ...
- Typical dissipation channels, Bloch ball, examples and illustrations
- Lindblad master equations, simple cases
- Liouvillian spectrum, steady states, symmetries
- Methods for solving a Lindblad equation
- Microscopic derivation of master equations
- Quantum state diffusion
- Quantum jumps
- Non-markovian dynamics
Learning outcomes of the learning unit
At the end of this course, students will be able to
- model the dynamics of simple open quantum systems
- solve the corresponding evolution equations
Prerequisite knowledge and skills
Completion of a basic quantum mechanics course (PHYS3033-1 and PHYS3034-1 or equivalent).
The Advanced quantum mechanics course PHYS3021-1 is recommended.
Planned learning activities and teaching methods
Mode of delivery (face to face, distance learning, hybrid learning)
Face-to-face course
Further information:
The theoretical course (20h) will be given 'ex cathedra', partly on the blackboard and partly on slides.
Course materials and recommended or required readings
Platform(s) used for course materials:
- eCampus
Further information:
Recommended literature :
- The Theory of open quantum systems, H.-P. Breuer and F. Petruccione (Oxford University Press, 2006)
- Quantum Measurement and Control, H. M. Wiseman and G. J. Milburn (Cambridge University Press, 2010)
Exam(s) in session
Any session
- In-person
oral exam
Written work / report
Further information:
The examination consists of an oral presentation of the project topic, in the presence of the course teachers and other students enrolled on the course. Beforehand, the student must submit a commented and functional Julia code.
Work placement(s)
Organisational remarks and main changes to the course
Contacts
John Martin & François Damanet
Département de Physique, I.P.N.A.S., Bât. B15
Allée du six Août, 10
B-4000 Sart Tilman
Emails: jmartin@uliege.be, fdamanet@uliege.be