Optimal ramp shapes for the fermionic Hubbard model in infinite dimensions

Details Optimal ramp shapes for the fermionic Hubbard model in infinite dimensions Optimal ramp shapes for the fermionic Hubbard model in infinite dimensions

2010-10-14

arxiv.org/abs/1010.2853v2

Phys. Rev. B 83,155122 (2011)

Physics

Condensed Matter

Strongly Correlated Electrons

Published version

Scientific paper

10.1103/PhysRevB.83.155122

We use non-equilibrium dynamical mean field theory and a real-time diagrammatic impurity solver to study the heating associated with time-dependent changes of the interaction in a fermionic Hubbard model. Optimal ramp shapes U(t) which minimize the excitation energy are determined for an infinitesimal change. For ramp times of a few inverse hoppings, these optimal U(t) are strongly oscillating with a frequency determined by the bandwidth. We show that the scaled versions of the optimized ramps yield substantially lower temperatures than linear ramps even far outside the perturbative regime.

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