Welcome to graduate level Statistical Mechanics!
Grades: final grades.
Lecture notes:
- Lec. 1: Introduction to the Gibbs ensemble.
- Lec. 2: Entropy and Relative Entropy.
Mathematica notebook: stochastic simulations of the QHO.
- Lec. 3: Density Matrices.
- Lec. 4: Composite systems.
Mathematica notebook: using tensor products in qulib.
Mathematica notebook: using partial traces in qulib.
- Lec. 5: Spontaneous Emission.
- Lec. 6: 1D Ising model.
- Lec. 7: Mean-field models.
- Lec. 8: Lipkin-Meshkov-Glick model.
- Lec. 9: Second quantization.
- Lec. 10: The grand-canonical ensemble.
- Lec. 11: Quantum spin chains (updated 29/11).
Problem sets:
- Problem set 1. Deadline: 24/09.
Solutions.
- Problem set 2. Deadline 15/10.
Solutions.
- Problem set 3. Deadline 05/11.
Solutions.
- Problem set 4. Deadline 26/11.
Solutions.
- Problem set 5. Deadline 10/12.
Solutions.
Course information:
Course starts on the 10th of September and ends on the 29th of November.
Lectures hours: Tuesdays, Thursdays and Fridays, 10 am to 12 pm.
Room: 2022 (211-C).
Tutoring (monitoria):
- Tutor: Bruno Ortega Goes.
- E-mail: b.ortega.goes@gmail.com
- Hours: Mondays and wednesdays, from 13 to 14:30.
- Place: Ed. Alessandro Volta, Bloco C. Either in room 102
(Bruno’s office) or in room 109 (Seminar room).
Grading: based only on problem sets (around 5 of them in total).
Recommended books:
- R. Feynman, Statistical Mechanics: a set of lectures.
- S. Salinas, Introdução à física estatística.
- Nielsen and Chuang, Quantum Computation and Quantum Information.
- S. Sachdev, Quantum Phase Transitions.
- A. Altland and B. Simons, Condensed Matter Field Theory.
- Thermodynamics in the quantum regime. Editors: F. Binder, L. A. Correa, C. Gogolin, J. Anders and G. Adesso.