Applied Quantum Physics. Exercises
| Compulsory tasks | Elective tasks |
| Week 1. Tunneling in NIN junctions. (N-normal metal, I-insulator) Square barrier - (analytical) Voltage suppression of the barrier (computer) | |
| Week 2. SIN tunnel junction. (S-superconductor) SIN tunnel junction for final temperatures IV curves for different T | SIN tunnel junction as a temperature sensor: DV(T), Optimization on
I bias.
SIN junctions for electronic microrefigeration. Hot electron microcalorimeter using SIN tunnel junctions. Microrefrigeration of the hot electron microcalorimeter. The microcalorimeter with electrothermal feedback. Thermal and electrical conductivity through NS interface (Andreev reflection) |
| Week 3. Josephson effect in SIS tunnel junctions, dc and ac. (an) + D1 ¼ D2 (computation). Shapiro steps under irradiation (comp) | Shapiro steps in dependence on power, low frequency and high frequency
lomits
Nonlinear Josephson inductance, microwave impedance, parametric amplification Macroscopic quantum tunneling. |
| Week 4. Quantization of the magnetic flux, SQUIDs. Basic relations, RF and DC SQUIDs. | |
| Week 5. Tunneling in small junctions, basic concepts. Coulomb blockade of tunneling. Correlated tunneling of single electrons in time - SET oscillations. or/and Correlated tunneling of Cooper pairs in time - Bloch oscillations. -Energy bands in weak and strong coupling limit-? | Effect of electrodynamic environment Time of tunneling: traversal time
or Heisenberg ³hesitation² time?
(1-D array of the junctions - charge soliton) Nonlinear Bloch capacitance - analog nonlinear Josephson inductance Interference of many states - Macroscopic quantum coherence |
| Week 6. Correlated tunneling in space - Single electron transistor. Coulomb blockade on charge of central island Q (Analytic description). I-V (Coulomb staircase) and Modulation curves (Computer) | Single electron transistor - different parameters of the junctions
Superconducting Bloch transistors - Parity effect in limited volume of superconductor. (Box experiment) (Phase locking of Bloch and Josephson oscillations - resistance quantization) |