Mathematical Physics Seminar
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].
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Mathematical Physics Seminar Series
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