Open Quantum Systems

Course guarantor:

Jaroslav Novotný

Lecturer:

Jaroslav Novotný

Tutor:

Jaroslav Novotný

Supervisor:

Department of Physics

Synopsis:

Quantum description of composite subsystems and their subsystems, density operator. Pure and mixed states, entropy. Quantum correlations, entanglement, its basic properties and possible applications. Introduction to theory of generalized quantum measurement, positive operator-valued measure, physical realizations. Quantum operations, general description of state changes, superoperator theoretical framework, examples of quantum operations. Markovian quantum master equation, quantum dynamical semigroups. Basic models for description of decoherence and thermalization.

Requirements:

Basics of quantum mechanics.

Syllabus of lectures:

[1] Description of composite quantum systems

[2] Entropy and quantum correlations

[3-4] Generalized quantum measurements

[5-7] Quantum operations

[9-10] Quantum master equation

[11] Decoherence

[12] Thermalization

Syllabus of tutorials:

Study Objective:

Knowledge:

Introduction to quantum physics of open systems.

Skills:

Application of theory to particular physical situations.

Study materials:

Key references:

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

Recommended references:

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

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

[4] R. Alicki, K. Lendi, Quantum Dynamical Semigroups and Applications (Springer-Verlag, Berlin, 1987)

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:

• Fyzikální elektronika - Fotonika (elective course)
• Matematická fyzika (elective course)
• Kvantové technologie (elective course)