PHY 556
Solid State Physics II
Spring 2010
Mon, Wed, Fri
9:25-10:20
Physics P-125
Instructor: Prof. Vladimir Korepin,
Office hours Thursday 11 -12:
Bulletin description:
a) Models solvable by Bethe Ansatz: Sine Gordon, Massive Thirring, Bose gas, models of interacting spins, Hubbard model . Classical and quantum exact solutions will be compared. Quantum Inverse Scattering method will be explained. Extension to higher dimensions such as VBS will be discussed.
b) quantum information
Prerequisite:
Grad course of quantum mechanics.
Exams
Two midterm exams Feb 22 and April 5.
Homework have to be turn in time, no late homework is accepted.
Quizz cannot be turned late. Only enrolled students can attend.
Topics to be included
- Bose gas with delta interaction
- Heisenberg model
- AKLT
- Hubbard model
Non-perturbative phenomena
- Over barrier reflection of solitons in Sine Gordon
- Spin-charge separation in 1 D Hubbard
- Interacting quantum spins, including AKLT
Required Book
Recommended Books
-
A. Altland and B.Simons,
Condensed Matter Field Theory,
Cambridge; 2006, ISBN-13: 978-0-521-84508-3.
-
G. D. Mahan,
Many Particle Physics (Physics of Solids and Liquids),
Springer; 3nd edition, 2007, ISBN-10: 0306463385, ISBN-13: 978-0306463389.
-
M.Takahashi,
Thermodynamics of One-Dimensional Solvable Models,
Cambridge University Press, 1999, ISBN-o 521 55143 9
-
V.E. Korepin, N.M. Bogoliubov, A.G.Izergin,
Quantum Inverse Scattering Method and Correlation Functions,
Cambridge University Press, 1993,
ISBN-0 521 37320 4, 0 521 58646
-
F.Essler, H.Frahm, F. Goehmann, A.Kluemper and V.Korepin ,
The One-Dimensional Hubbard Model,
Cambridge University Press, 2005,
ISBN-521 80262 8
Last updated: July 10, 2009