# Teaching

## An earlier version of this course can be found here

(r, t) = (in Lyman 425, Friday 12:00pm-2:45pm SINGLE CLASS per week for 2:45 mins with a break)

Prerequisites: Previous offerings of this course have been taken mainly by condensed matter/AMO and high energy theory graduate students, although the only real requirements are a strong background in quantum mechanics and statistical mechanics. Some exposure to critical phenomena and renormalization group ideas will be helpful.

Planned Topics:

1.The 1+1D transverse field Ising model - duality, fermionization, chiral symmetry. Experimental realization of “E8” in   CoNb2O6.

2. Continuous symmetry breaking in 2+1D. Goldstone modes and the Anderson Tower. Non-perturbative approaches such as dualities and large-N expansions. The Mott-superfluid transition in optical lattices.

3. Emergent Gauge Theories and topological order. Confinement and topological order. Chern Simons theories. Fractional quantum Hall states and gapped quantum spin liquids. Emergent electromagnetism in quantum magnets and “Spin-ice”.

4. Special Topics: Quantum entanglement in many body systems. Scale invariance.

Evaluation:

Assignments (roughly biweekly) and a final reading/small research project in groups of 2-3 based on enrollment. There will be no examinations.

Suggested Text Books:

1. Gauge Fields and Strings: A. Polyakov

2. Quantum Field Theory of Many Body Systems: X. G. Wen

3. Quantum Phase Transitions. Subir Sachdev

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## Previous Courses

• ### Physics  268R Special Topics in Quantum Matter

• Physics 181 (Statistical Mechanics).

• Phy211 (Spring 2016) 'Statistical Mechanics'
• Phy212 (Fall 2015) 'Advanced Statistical Mechanics'
• Phy216 (Fall 2014) 'Quantum Magnetism & Strongly Correlated Electronic Systems'
• Phy 250 (Fall 2013)  'Demystifying Quantum Field Theory'