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Warning: Cannot modify header information - headers already sent by (output started at /tmp/nav.phpvTIh8G:2) in /tmp/nav.phpvTIh8G on line 7 Seminare der Theoretischen Physik
In recent years, we have seen major progress in the non-equilibrium control of many-body quantum systems. One tool, which has been applied successfully, is Floquet engineering, i.e. the use of strong time-periodic driving for effectively changing the properties of the system. A prominent example is the realization of effective magnetic fields for charge neutral particles (like atoms in optical lattices or photons in superconducting circuits). Another approach is known as reservoir engineering. Here the system is coupled to a controlled environment, which is designed to either cool the system or to stabilize a non-equilibrium steady state of interest. I will report on recent work, where we combine both approaches in open Floquet systems. One motivation is to use dissipation in order to counteract unwanted heating as it necessarily occurs in Floquet engineered systems, e.g. for the preparation of Floquet engineered topological states of matter. Another motivation is the stabilization of non-equilibrium steady states. Here, I will in discuss ordering away from equilibrium, like driving-induced Bose-condensation.
Efficient retrieval of information is a core operation in the world
wide web, is essential for the sustainance of living organism, and is
a paradigm for optimization algorithms. Inspired by the food search
dynamics of living organisms, we discuss a search on a graph with
multiple constraints where the dynamics is a selforganized process
resulting from the interplay of coherent dynamics and Gaussian noise.
We show that Gaussian noise can be beneficial to the search dynamics
leading to significantly faster convergence to the optimal solution.
We then analyse how these concepts can be extended to quantum
searches, cast in terms of spatial searches on a graph and discuss
whether and when the efficiency of noise-assisted quantum searches can
outperform the one of unitary protocols.
