Mathematical Physics Seminar

We investigate quantum dynamics with the underlying Hamiltonian
being a Jacobi or a block Jacobi matrix with the diagonal and the
off-diagonal terms modulated by a periodic or a limit-periodic sequence.
In the periodic case we demonstrate ballistic transport, while in the
limit-periodic case we discuss various phenomena such as quasi-ballistic
transport and weak dynamical localization. We also present an application
to the anisotropic XY chain on Z with periodic parameters, establishing an
explicit strictly positive lower bound for the Lieb-Robinson velocity.
This is joint work with David Damanik and William Yessen.