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Mathematical Physics Seminar

Wednesday, November 26, 2014
12:00pm to 1:00pm
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Periodic block Jacobi matrices and the XY spin chain
Milivoje Lukic, Postdoctoral Fellow UTM, Mathematics, University of Toronto,

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.
 

For more information, please contact Gang Zhou by email at [email protected].