### Course Meeting Times

Lectures: 2 sessions / week, 1.5 hours / session

### Description

This course covers the concepts and physical pictures behind various phenomena that appear in interacting quantum many-body systems. Key ideas/techniques to be covered include broken symmetry, effective field theories, functional integral methods, and quantum phase transition theory.

A rough syllabus is:

- Second quantization; path integrals in quantum mechanics
- Interacting bosons - superfluidity
- Broken symmetry and its consequences
- Low dimensional quantum magnetism

### Prerequisites

Quantum Physics II (8.05), Statistical Physics II (8.08), Relativity (8.033) or Classical Mechanics II (8.21), Physics of Solids I (8.231)

### Homework

There will typically be one homework every week which will be due on the same day of the following week. Late homework is strongly discouraged!!

### Presentation

There will be no final exam - instead there will be a short in-class presentation on a topic of general interest to the material in the course. Specific recommendations for presentation topics will be provided later.

### Books

No single textbook will be used. What follows is a list of books that I find useful. When appropriate, lecture notes or references to review articles/research papers will be provided.

Negele, John W., and Henri Orland. *Quantum Many-Particle Systems*. Boulder, CO: Westview Press, October 1998. ISBN: 9780738200521.

Stone, Michael. *The Physics of Quantum Fields.* New York, NY: Springer-Verlag, February 1999. ISBN: 9780387989099.

Auerbach, Assa. *Interacting Electrons and Quantum Magnetism.* New York, NY: Springer-Verlag, 1994. ISBN: 9780387942865.

Wen, Xiao-Gang. *Quantum Field Theory Of Many-body Systems: From The Origin Of Sound To An Origin Of Light And Electrons.* Oxford, UK; New York, NY: Oxford University Press, 2004. ISBN: 9780198530947.

Sachdev, Subir. *Quantum Phase Transitions.* Cambridge, UK; New York, NY: Cambridge University Press, 2000. ISBN: 9780521582544.

Anderson, P. W. *Basic Notions of Condensed Matter Physics*. Boulder, CO: Westview Press, November 27, 1997. ISBN: 9780201328301.

Fradkin, Eduardo. *Field Theories of Condensed Matter Systems.* Boulder, CO: Westview Press, August 26, 1998. ISBN: 9780201328592.

Polyakov, A. M. *Gauge Fields and Strings*. New York, NY: Harwood Academic Publishers, Taylor & Francis Scientific, Technical and Medical, October 1, 1987. ISBN: 9783718603930.