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Catalogue of Courses & Student Handbook - SUPA

Catalogue of Courses & Student Handbook - SUPA

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Condensed Matter and Material Physics<br />

Disordered Systems (<strong>SUPA</strong>DOS)<br />

Lecturer: Wilson Poon and Mats Jonson<br />

Institution: Edinburgh<br />

Hours Equivalent Credit: 12<br />

Assessment: Continuous Assessment<br />

This course is biennial and will not run in 2013/14, but will run again<br />

in 2014/15.<br />

Course Description<br />

Most introductory condensed matter courses study mainly crystalline<br />

solids. Here Bloch’s Theorem applies, all eigenfunctions are extended,<br />

and the notion <strong>of</strong> crystal momentum applies. However, very many<br />

materials in nature are not perfectly crystalline: either because they<br />

contain impurities in an otherwise perfect crystal lattice, or because<br />

they have no long-range structural order at all. This course is a short<br />

introduction to some <strong>of</strong> the most important physics in these systems.<br />

The syllabus includes, but is not limited to: disorder physics in s<strong>of</strong>t<br />

condensed matter and metals; photons in disordered materials; the<br />

disorder induced metal insulator transition and Anderson localisation.<br />

Condensed Matter and Material Physics<br />

Interacting Electron Problems in Solids (<strong>SUPA</strong>EPS)<br />

Lecturer: Chris Hooley<br />

Institution: St Andrews<br />

Hours Equivalent Credit: 22<br />

Assessment: Continuous Assessment<br />

This is a final year undergraduate course organised by the University<br />

<strong>of</strong> St Andrews.<br />

Course Description<br />

The aim <strong>of</strong> this course is to give an overview <strong>of</strong> developments in modern<br />

condensed matter physics. The difficulties <strong>of</strong> a full quantum mechanical<br />

treatment <strong>of</strong> electrons with strong interactions will be discussed.<br />

Common existing approaches such as the Hubbard and t-J models<br />

and Fermi liquid theory will be compared. It will be shown that, although<br />

microscopic models can explain aspects <strong>of</strong> magnetism, they have<br />

little chance <strong>of</strong> capturing many other features <strong>of</strong> the fascinating low<br />

energy physics <strong>of</strong> these systems. Instead, we introduce the principle <strong>of</strong><br />

emergence, and show how it suggests radically new approaches to the<br />

problem <strong>of</strong> complexity in condensed matter physics and beyond.<br />

Light Matter Interactions: Quantum Optics for Condensed Matter<br />

Physicists (<strong>SUPA</strong>LMI)<br />

Lecturer: Jonathan Keeling<br />

Institution: St Andrews<br />

Hours Equivalent Credit: 16<br />

Assessment: Continuous Assessment<br />

This course is biennial and will run in 2013/14 but will not run in 2014/15.<br />

Course Description<br />

Over the last two decades an increasing range <strong>of</strong> coupled light-matter<br />

systems have arisen in which it is now possible to begin to study<br />

aspects <strong>of</strong> condensed matter physics, such as phase transitions and<br />

collective dynamics. The main aims <strong>of</strong> this course are thus to discuss<br />

the theoretical framework required to model the quantum behaviour <strong>of</strong><br />

coupled light and matter, and to introduce some <strong>of</strong> the simple<br />

models that may be used to describe such systems. Due to their light<br />

component, such systems naturally require non-equilibrium descriptions,<br />

and so this course will also introduce some methods to deal with open<br />

quantum systems that arise naturally in the context <strong>of</strong> coupled light<br />

and matter. Having developed these technical tools, they will be used<br />

to describe a number <strong>of</strong> paradigmatic experiments, and the physical<br />

systems that these experiments involve (e.g. superconducting qubits,<br />

Rydberg atoms, semiconductor quantum dots.) The course will assume<br />

familiarity with second quantised notation, and basic concepts <strong>of</strong><br />

quantum optics such as coherent states and density matrices.<br />

Open Quantum Systems (<strong>SUPA</strong>OQS)<br />

Lecturer: Sabrina Maniscalco<br />

Institution: Heriot Watt<br />

Hours Equivalent Credit: 12<br />

Assessment: Continuous Assessment<br />

This course is biennial and will not run in the year 2013/14 but will run<br />

again in 2014/15.<br />

Course Description<br />

The course focuses on the dynamics <strong>of</strong> quantum systems interacting<br />

with their surroundings. Due to the inevitable interaction between<br />

a quantum system and its environment peculiar quantum features<br />

such as the existence <strong>of</strong> quantum superpositions and entangled<br />

states are quickly destroyed. Using mathematical approaches <strong>of</strong> the<br />

theory <strong>of</strong> open quantum system we will derive an equation <strong>of</strong> motion<br />

describing the dynamics <strong>of</strong> the quantum system in presence <strong>of</strong> the<br />

environment (master equation) and we use it to tackle two aspects <strong>of</strong><br />

both fundamental and applicative importance in physics: the fragility<br />

<strong>of</strong> macroscopic quantum superpositions (Schrödinger cat states) and<br />

the deterioration <strong>of</strong> entanglement. These two aspects are crucial both<br />

for understanding fundamental features <strong>of</strong> quantum theory, such as<br />

the quantum measurement problem and the quantum-classical border,<br />

and for new quantum technologies such as quantum computation and<br />

communication. Special emphasis will be given to fundamental models<br />

<strong>of</strong> decoherence in condensed matter systems. Assessment will be<br />

based on student presentations and tutorials.<br />

MBQT 1 (Quantum Field Theory)
(<strong>SUPA</strong>QFT)<br />

Lecturer: Jonathan Keeling
<br />

Institution: St Andrews
<br />

Hours Equivalent Credit: 27
<br />

Assessment: Continuous Assessment
This is a final year<br />

undergraduate course organised by the University 
<strong>of</strong> St Andrews
<br />

Course Description
<br />

Quantum field theory combines classical field theory with quantum<br />

mechanics and provides analytical tools to understand many-particle<br />

and relativistic quantum systems. This course aims to introduce the<br />

ideas and techniques <strong>of</strong> quantum field theory starting from many-body<br />

quantum mechanics and second quantization and progressing to<br />

Feynman and coherent state path integrals. Examples will be drawn<br />

largely from condensed matter physics. About one third <strong>of</strong> the lectures<br />

will be given over to working through problem sets. By the end <strong>of</strong> the<br />

course, the student will be able to carry out simple calculations using<br />

quantum field theory. Theoretical students will have a strong grounding<br />

to attempt more complicated calculations and experimental students<br />

an understanding <strong>of</strong> the essential physics revealed by research papers<br />

using these techniques.

Please note that this course and <strong>SUPA</strong>EPS are<br />

advised as prerequisites for <strong>SUPA</strong>QPT (Many-body Quantum Theory 3).<br />

This course is an antirequisite <strong>of</strong> Quantum Field Theory Light.<br />

13

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