|
|
|||
|
|
|
Instructor: Gil Refael refael{at}caltech.edu |
|
TA's: Min-Feng Tu mtu {at} caltech.edu Feng Bi fbbi {at} caltech.edu |
Final exam
Final exam front page - download any time to see the conditions, e.g., allowed materials.
Final exam - download when you are ready to being and take the exam.
|
Topics:
1. Superfluidity. 2. Vortices and the Kosterlitz-Thouless-Brezhinski transition. 3. Imaginary time. 4. Quantum phase transitions. 5. Bosonization. 6. Fluctuation-dissipation theorem. 7. Jarzinski inequality (maybe..)
|
Lecture Notes Week 1 - Superfluidity, and the Landau critical velocity. Week 2 - Vortex physics. Week 3 - Kosterlitz-Thouless transition, and construction of RG flow Week 4 - Kosterlitz-Thouless analysis of RG flow. Imaginary time. Week 5 - Imaginary time path integral for an harmonic oscillator, and for a double well potential. Week 6 - Quantum phase transitions and the dimerized electronic chain. Week 7 - Bosonization. Week 8 - Interactions and the dimerization transition using bosonization. Reference on Bosonization and QPT's: Subir Sachdev, Quantum Phase Transitions. also: Giamarchi, Quantum physics in one dimension Week 9 - Dynamics: Fluctuation dissipation theorem.
|
PS 1 - due April 20th before class. [Sol 1]
PS 2 - due May 9th before class. [Sol 2]
PS 3 - due May 23rd before class. [Sol 3] PS 4 - due June 1st, noon, Gil's mailbox. [Sol 4]
|
Supplements You-tube on helium: http://www.youtube.com/watch?v=2Z6UJbwxBZI
And the fountain effect: http://www.youtube.com/watch?v=kCJ24176enM
|
|