| We use non-equilibrium dynamical mean field theory to study the heating associated with a rapid increase of the interaction in a fermionic Hubbard model. Different ramp protocols U(t) are considered and the optimal ramp shapes for an infinitesimal ramp amplitude are determined. For ramp times of a few inverse hoppings, the optimal U(t) are strongly oscillating with a frequency determined by the bandwidth. We show that even for large ramp amplitude, the oscillating ramps yield substantially lower temperatures than linear ramps. |
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