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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) Научная школа по нанофизике и наноэлектронике Черноголовка, 2012

Мезоскопические системы

Квантовая точка в переменном поле

План курса

Лекция 1

Квантовая точка

Описание изолированной КТ

Interaction in a closed QD

Random Matrix Theory

RMT: Average DOS (1)

RMT: Average DOS (2) Wigner semicircle

RMT: Mathematical approach

RMT: Pair correlation function

RMT: Why do levels repel?

Parametric level statistics

Route to time-dependent random matrices

What is to look for?

Two basic quantum phenomena

Two regimes of dissipation

Dissipation in the Kubo regime

Dissipation in the adiabatic regime

Linear response? NO linear response in a closed system!

Linear perturbation: summary

Localization in the energy space

Квантовые интерференционные эффекты

Localization in Quantum Kicked Rotor

The model DISORDER + KINETICS = ???

The model DISORDER + KINETICS = ???

Лекция 2

Слабая локализация

Diffusons & cooperons R A R A

Weak localization (no magnetic field) R A RR AA RA R A A R

Weak localization (in magnetic field) R A R A 3 R R A A A R A R A R A 3 R A R A A R A R A R R R R R A AA A R A R A R A R 5 A 56 R

Nonlinear -models

Zoology of -models

SUSY -model in 0D: reduction to RMT

Parametrizations

Keldysh -model

Quantum kinetic equation

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

Elimination of the distribution function

Structure of the Q-manifold

Diffusons & cooperons R A R A

Soft modes: diffusons and cooperons

One-loop quantum correction (GOE)

Linear perturbation

Linear perturbation: GOE, one loop

Linear perturbation: GUE, two loops

GUE, linear perturbation, four loops

Features of the unitary symmetry

Linear perturbation: Summary

Periodic perturbation

Result for a periodic perturbation (GOE)

Weak dynamic localization (GOE)

Экспериментальные следствия

Слабая динамическая локализация

Влияние декогерентности

e-e взаимодействие в изолированной КТ

Как быть?

Открытая точка + кулоновская блокада

Плато в зависимости кондактанса от U

А может быть, оптикой?

Выводы Что дальше?

Слайды, не вошедшие в лекцию

Derivation of the Keldysh -model (0/6)

Derivation of the Keldysh -model (1/6)

Derivation of the Keldysh -model (2/6)

Derivation of the Keldysh -model (3/6)

Derivation of the Keldysh -model (4/6)

Derivation of the Keldysh -model (5/6)

Derivation of the Keldysh -model (6/6)