The course discusses the theory of open quantum systems and can serve as
a supplement to the standard courses of quantum mechanics, usually
focused on the description of reversible dynamics of an isolated system.
But it is only assumed that students are familiar only with linear
algebra and mathematical analysis, and the necessary elements of quantum
mechanics in the course will be presented. The theory of open quantum
systems is the theoretical basis of modern spectroscopy, quantum optics,
quantum measurement theory, quantum thermodynamics and has wide range of
physical applications. The presented theory is also inseparable from
quantum theory of information. From the mathematical point of view, the
course is close to the theory of Markov processes with a finite number
of states, but considers its non-commutative analog. The course will
describe the properties and methods of solution and derivation of the
Gorini-Kossakowski-Sudarshan-Lindblad equation which is the basic
approach for describing the dynamics of open quantum systems. In
addition, the basic physical examples of finite open quantum systems
will be considered and their properties described. During the course,
students will be asked a number of tasks that will develop the skill of
applying the knowledge gained in the course to specific physical problems.
Spring Semester Schedule of 2021/2022:
Time: Monday 11:35 – 13:00
First lecture: February 1
RSS: Forthcoming seminars
Lecturer
Teretenkov Aleksandr Evgenevich
Organizations
Moscow Institute of Physics and Technology (State University), Dolgoprudny, Moscow region Steklov Mathematical Institute of Russian Academy of Sciences, Moscow Steklov International Mathematical Center |