PHYS4141 Advanced Theoretical Physics (2018/19)
Quantum Theory in Condensed Matter
18 lectures in Michaelmas Term
Required: Superconductivity, Superfluids and Condensates, J.F. Annett (Oxford University Press, 2004)
Additional: Superfluidity and Superconductivity, D.R. Tilley and J. Tilley (IOP publishing 1990)
Additional: Quantum Theory of Many-Particle Systems, A. L. Fetter and J.D. Walecka (Dover, 2003)
Syllabus: Review of Bose-Einstein condensation in the ideal gas and in dilute atomic gases. Superfluidity, interactions, and excitations (phonons, rotons) in Helium II. Phenomenology of superconductivity. Ginzburg-Landau theory. Introduction to many-body quantum field theory in bosonic and fermionic systems. Phonons and Cooper pairs, BCS theory and quasiparticles. These will be developed in a rigerous and manthematical fashion.
18 lectures in Epiphany Term
Required: Introductory Quantum Optics, C Gerry and P. L. Knight (Cambridge)
Additional: Quantum Optics: An Introduction, M. Fox (Oxford)
Additional: The Quantum Theory of Light, R. Loudon (Oxford)
Additional: A Guide to Experiments in Quantum Optics, H. A. Bachor (Wiley-VCH)
Syllabus: Quantization of light, creation and annihilation operators, Hamiltonian of the field, number states, coherent states, squeezed states, photon bunching and anti-bunching, density operator, pure states, mixed states, entangled states, decoherence, atom-light interactions, applications.
2 lectures in Easter Term, one by each lecturer
Lectures: 2 one-hour lectures per week
Problem exercises: See https://www.dur.ac.uk/physics/students/problems/