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Syllabus for

Academic year
FUF010 - Quantum matter: coherence and correlations
 
Owner: TTFYA
5,0 Credits (ECTS 7,5)
Grading: TH - Five, Four, Three, Not passed
Level: D
Department: 17 - FUNDAMENTAL PHYSICS


Teaching language: English

Course module   Credit distribution   Examination dates
Sp1 Sp2 Sp3 Sp4 No Sp
0105 Oral examination 5,0 c Grading: TH   5,0 c    

In programs

TTFYA ENGINEERING PHYSICS, Year 4 (elective)

Examiner:

Professor  Henrik Johannesson
Professor  Jari Kinaret



Eligibility:

For single subject courses within Chalmers programmes the same eligibility requirements apply, as to the programme(s) that the course is part of.

Course specific prerequisites

The course builds upon earlier courses on quantum mechanics and condensed matter physics, and knowledge of these topics at the level of the books by Sakurai and Ashcroft & Mermin is assumed. Knowledge of field theory is useful though not assumed.

Aim

All matter is quantum matter. In the everyday world quantum effects are masked by many disturbances but in the new worlds that have been created in laboratories in the last two decades quantum matter reveals its true character. These worlds exhibit properties that seem strange to us - series resistance is not given by the sum of individual resistances, many electrons may conspire to produce fractional charges, and the charge and spin of an electron may be ripped apart and move independently of each other, just to mention a few of the consequences of quantum coherence and correlations.

In this course we will study the transition between the ordinary and quantum worlds in terms of the emergence of coherent quantum phenomena and the role of correlation effects in these novel systems. We will focus on a system of interacting fermions (e.g. electrons in metals), but will even briefly discuss bosonic systems. We will also present a number of theoretical
techniques that can be used to study systems where both quantum coherence and correlations are relevant.
The course is recommended for students in the MSc program on Condensed Matter and Materials Physics with focus on either theory or nanophysics. It is also well suited for students following the program in Fundamental Physics.

Goal

The goal of the course is to give an introduction to the physics of quantum matter, and also to introduce a tool box of techniques useful for more advanced studies in theoretical physics and nanophysics at the Ph.D. level.

Content

The main topics include

1. Coherence:
(i) role of phase coherence, (ii) sources of decoherence, (iii) coherent transport in metals
2. Correlations:
(i) correlations in classical systems, (ii) weak and strong correlations in quantum systems,
(iii) quantum criticality and entanglement
3. Examples of interplay between correlations and coherence:
(i) quantum wires, (ii) quantum Hall effects, (iii) quantum magnets,
(iv) Bose-Einstein condensates
4. Techniques for treating correlated quantum systems:
(i) exact analytic methods, (ii) approximate analytic methods, (iii) numerical methods.

Organisation

The course is based on a series of lectures covering the topics listed above.

Literature

H. Johannesson and J. Kinaret: Quantum Matter: Coherence and Correlations (in prep.)
Supplementary material handed out at lectures (excerpts from books and review articles).

Examination

Homework problems and an oral exam at the end of the course.


Page manager Published: Thu 03 Nov 2022.