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Advanced Physics
ADVANCED
12 units

Many-Body Quantum Systems & Condensed Matter

Second quantization, lattice models, symmetry breaking, phase transitions, entanglement, tensor networks, topological order, and numerical methods.

12 units18 hoursADVANCED
Open student course

Published syllabus

Course Units

Unit 1
90 min

Fock space and second quantization

Admin-authored unit for Many-Body Quantum Systems & Condensed Matter.

Course notes
3 objectives
Unit 2
90 min

Fermions, bosons, and exchange algebra

Admin-authored unit for Many-Body Quantum Systems & Condensed Matter.

Course notes
3 objectives
Unit 3
90 min

Hubbard and Heisenberg lattice models

Admin-authored unit for Many-Body Quantum Systems & Condensed Matter.

Course notes
3 objectives
Unit 4
90 min

Mean-field theory and broken symmetry

Admin-authored unit for Many-Body Quantum Systems & Condensed Matter.

Course notes
3 objectives
Unit 5
90 min

Quantum phases and phase transitions

Admin-authored unit for Many-Body Quantum Systems & Condensed Matter.

Course notes
3 objectives
Unit 6
90 min

Correlation functions and response

Admin-authored unit for Many-Body Quantum Systems & Condensed Matter.

Course notes
3 objectives
Unit 7
90 min

Entanglement entropy and area laws

Admin-authored unit for Many-Body Quantum Systems & Condensed Matter.

Course notes
3 objectives
Unit 8
90 min

Tensor networks and matrix product states

Admin-authored unit for Many-Body Quantum Systems & Condensed Matter.

Course notes
3 objectives
Unit 9
90 min

Topological order

Admin-authored unit for Many-Body Quantum Systems & Condensed Matter.

Course notes
3 objectives
Unit 10
90 min

Quantum Hall physics

Admin-authored unit for Many-Body Quantum Systems & Condensed Matter.

Course notes
3 objectives
Unit 11
90 min

Exact diagonalization and MPS numerics

Admin-authored unit for Many-Body Quantum Systems & Condensed Matter.

Course notes
3 objectives
Unit 12
90 min

Research frontiers in many-body physics

Admin-authored unit for Many-Body Quantum Systems & Condensed Matter.

Course notes
3 objectives