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The impressive progress on the experimental side in the context of fermionic atoms in optical
lattices and especially the tunability of the interaction strength has led to new interest in the dynamics of quantum systems
out of equilibrium.
We study the time evolution of fermionic systems after a quench, i.e. a sudden change in the intrinsic parameters of the
system. In this context interaction quenches, where the interaction between particles is suddenly turned on, are of special interest. In this setup we do not focus on the long time behavior of the system, which determines the thermalization but on short times after the quench, the so called prethermalization. The relaxation of the system is studied by the use of a semi-analytic approach based on the Heisenberg equations of motion. This higher order equation of motion approach enables us to study the momentum distribution and other quantities of the system after the quench. |
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