Infopaket

Coherent phenomena in quantum systems

ВК4.1

Вибіркова дисципліна для ОП

Second

2023/2024

3 Semester

6

The result of studying the course "Coherent phenomena in quantum systems" is to acquaint students with the physical processes that occur in atomic, molecular, and quasi-atomic quantum Bose and Fermi liquids; consider various physical phenomena in such systems, in particular, the phenomena of superfluidity and superconductivity; to acquaint students with the theories that explain these phenomena and their experimental manifestations, the ability to apply the acquired knowledge in the development of quantum computers and work with them.

Full-time form

1. Knowledge of methods of quantum mechanics, statistical physics, thermodynamics, classical electrodynamics, and hydrodynamics. 2. Ability to use methods of quantum mechanics, statistical physics, thermodynamics, classical electrodynamics, and hydrodynamics.

Part 1. The phenomenon of superfluidity in atomic and quasi-atomic quantum systems. Quantum many-particle systems. The phenomenon of Bose condensation. Phenomena of superfluidity and superconductivity. Thermodynamic characteristics of HeII. Superfluid and normal motion of HeII. Two-velocity model of superfluid helium motion. Condensate wave function. Giant thermal conductivity of superfluid HeII. Hydrodynamics of superfluid Bose liquid. The propagation of sound in the superfluid liquid. The first and second sounds. Third and fourth sounds. Part 2. The phenomenon of superconductivity. Elements of theory and some aspects of the experiment. Gorter-Casimir theory. London theory. The Pippard nonlocal generalization. Ginzburg-Landau theory. Gorkov's microscopic theory. Bardin-Cooper-Schrieffer theory of superconductivity. Energy gap. Cooper pairs. Phonon pairing mechanism. High-temperature superconductivity. Opening of HTS. The structure and properties of superconductors.

Part 1 1. D.R. Tilley, J. Tilley. Superfluidity and superconductivity. CRC Press. 1990. 2. D. Pines, F. Nozieres. The theory of quantum liquids. CRC Press. 2019. 3. Electron-hole droplets in semiconductors, Ed. by K. D. Jeffries and L. V. Keldysh. North-Holland, 1987. Part 2 4. E. Linton, Superconductivity [Russian transl.], M. 1971. 5. D. Saint-James; G.Sarma; E.J. Thomas. Type II Superconductivity, [Russian transl.], M. 1970. 6. J.R. Schrieffer, Theory of Superconductivity, M. 1970 7. A. Davydov. High-temperature superconductivity, K.1990.

Lectures

The control is carried out according to the module-rating system, which consists of 2 content modules. The knowledge assessment system includes current, modular, and semester control of knowledge. The results of students' learning activities are evaluated on a 100-point scale. Forms of current control: assessment of tests, abstracts, oral answers during the lecture, written and oral independent assignments. The student can receive a maximum of 30 points for the evaluation of the abstract, oral answers during the lecture, and written and oral independent assignments. Modular control: 2 modular tests, for which the student can get a maximum of 30 points (15 points for each work). The final semester control is conducted in the form of an exam, during which the student can receive a maximum of 40 points. The condition for admission of a student to the exam is the fulfillment of two conditions: obtaining a minimum of 24 points during the semester.

Ukrainian