ABSTRACT - DRUM - University of Maryland

These considerations also apply to other types of non-adiabatic perturbations
as long as they have non-zero matrix elements between zero-energy states and excited
states. In particularly disorder scattering, which is unavoidable in solid state
systems, can be a source of non-adiabaticity [146]. As the non-Abelian anyons are
moving, the disorder potential seen by the anyons changes randomly with time so
it can be modeled as a time-dependent noise term in the Hamiltonian which may
cause dephasing. Other possible perturbations in solid state systems include collective
excitations, such as phonons and plasmons(or phase fluctuations). We leave
the investigation of these effect for future work. The formalism developed in the
current work can, in principle, be used to study these dephasing errors.
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