Advanced Topics in Open Quantum Systems

Course guarantor:

Jaroslav Novotný

Lecturer:

Jaroslav Novotný

Tutor:

Supervisor:

Department of Physics

Synopsis:

The lecture is devoted to description of state, measurement and time evolution of quantum systems undergoing interaction with their environment. Attention is focused to both, discrete changes of quantum systems studied in different representations and continuous Markov dynamical semigroups.

Requirements:

Syllabus of lectures:

1. Description of composite quantum systems

2. Mathematical formalism of superoperators

3. Generalized quantum measurement

4. Quantum operations and their representation

5. Quantum dynamical semigroups

6. Quantum master equation

7. Microscopic description of quantum Markov processes

8. Spectral properties of quantum Markovgenerators

9. Decoherence and error-correction

10. Principles of quantum thermodynamics, entropy inequalities

Syllabus of tutorials:

Study Objective:

Study materials:

Key references:

[1] H.-P. Breuer and F. Petruccione, The theory of open quantum systems, Oxford Univ. Press, 2002.

[2] G. Rogers, Selected Topics in Open Quantum Systems, NY Research Press, 2015.

Recommended references:

[3] M. A. Nielsen, I. L. Chuang, Quantum computation and quantum information, Cambridge Univ. Press, 2002.

[4] I. Bengtsson, K. Zyczkowski, Geometry of Quantum States, Cambridge Univ. Press, 2006.

[5] G. M. Paule, Thermodynamics and synchronization in open quantum systems, Springer AG, 2018.

Note:

Time-table for winter semester 2024/2025:

Time-table is not available yet

Time-table for summer semester 2024/2025:

Time-table is not available yet

The course is a part of the following study plans: