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Михаил Скворцов Институт теоретической физики им. Л. Д. Ландау РАН , Черноголовка

Квантово-когерентные явления в неравновесных мезоскопических системах (функциональные методы теории). Михаил Скворцов Институт теоретической физики им. Л. Д. Ландау РАН , Черноголовка. Научная школа по нанофизике и наноэлектронике Черноголовка, 2012. Мезоскопические системы.

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Михаил Скворцов Институт теоретической физики им. Л. Д. Ландау РАН , Черноголовка

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  1. Квантово-когерентные явленияв неравновесных мезоскопических системах(функциональные методы теории) Михаил Скворцов Институт теоретической физики им. Л. Д. Ландау РАН, Черноголовка Научная школа по нанофизике и наноэлектронике Черноголовка, 2012

  2. Мезоскопические системы

  3. Квантовая точка в переменном поле

  4. План курса

  5. Лекция 1

  6. Квантовая точка

  7. Описание изолированной КТ

  8. Interaction in a closed QD

  9. Random Matrix Theory

  10. RMT: Average DOS (1)

  11. RMT: Average DOS (2) Wigner semicircle

  12. RMT: Mathematical approach

  13. RMT: Pair correlation function

  14. RMT: Why do levels repel?

  15. Parametric level statistics

  16. Route to time-dependent random matrices

  17. What is to look for?

  18. Two basic quantum phenomena

  19. Two regimes of dissipation

  20. Dissipation in the Kubo regime

  21. Dissipation in the adiabatic regime

  22. Linear response? NO linear response in a closed system!

  23. Linear perturbation: summary

  24. Localization in the energy space

  25. Квантовые интерференционные эффекты

  26. Квантовые интерференционные эффекты

  27. Localization in Quantum Kicked Rotor

  28. The model DISORDER + KINETICS = ???

  29. …

  30. The model DISORDER + KINETICS = ???

  31. Лекция 2

  32. Слабая локализация

  33. Diffusons & cooperons R A R A

  34. R A Weak localization (no magnetic field) R 2 4 R R 3 1 A A 4 2 A 2 2 R A 1 3 A R 4 4

  35. R R A A R A R R A A Weak localization (in magnetic field) R R 5 6 2 3 2 3 R R 2 3 A R R 4 1 1 4 A A R A A 5 6 5 6 6 5 2 3 A A R R R 7 3 6 4 2 8 2 2 R 6 6 R R A A R 7 3 5 1 5 1 3 7 A A A A R R 8 8 4 4 6 4 8 2 A A 7 3 A

  36. Nonlinear -models

  37. Zoology of -models

  38. SUSY -model in 0D: reduction to RMT

  39. Parametrizations

  40. Keldysh -model

  41. Keldysh -model

  42. Quantum kinetic equation

  43. Q: where is the Adiabatic regime? Q: where is dynamic localization? A:Fluctuations near the saddle point

  44. Elimination of the distribution function

  45. Structure of the Q-manifold

  46. Diffusons & cooperons R A R A

  47. Soft modes: diffusons and cooperons

  48. One-loop quantum correction (GOE)

  49. Linear perturbation

  50. Linear perturbation: GOE, one loop !?

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