Particles, Astrophysics, and Nuclear Physics Seminar
New Results for the XX-Quantum Spin Chain with Boundaries
The XX model with boundaries is an exactly solvable model that has applications in many different areas of physics. We will point out how it, for instance, describes stochastic models, growing and fluctuating interfaces, and has connections to representations of the Temperley-Lieb algebra. We explain how this model can be solved analytically and present results for excitation energies for finite chains and partition functions in the thermodynamic limit for different boundary conditions. These results can be understood in terms of conformal field theory. We comment on work in progress which consists of finding non-trivial operators commuting with the Hamiltonian. Furthermore we explain a fascinating connection between the Bethe-Ansatz for this model and its representation in terms of generators of the Temperley-Lieb algebra.
Monday, May 1, 2006
Gant Science Complex