Abstract:
The parametrization of adiabatic paths is optimal when tunnelling
is minimized. Hamiltonian evolutions do not have such optimizers.
However, dephasing Lindblad evolutions do. The optimizers are sim-
ply characterized by an Euler-Lagrange equation and have a constant
tunnelling rate along the path irrespective of the gap. I will show
why Hamiltonian problem is ill-posed, introduce
Lindblad evolutions and show how they regularize the problem.