Feedback control of atomic quantum gases (A12#)

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We plan to theoretically study the use of quantum feedback control for engineering dissipative environments with tailored properties for systems of ultracold atoms in optical lattices. For this purpose continuous measurements of the system via the off-resonant scattering of photons from a tailored probe beam into a cavity mode shall be considered and a focus will lie on the combination of feedback control with Floquet engineering. Based on this approach, we will design and test strategies for cooling, dissipative state preparation, mimicking thermal baths, suppressing Floquet heating, studying heat transport and ordering in non-equilibrium steady states, and inducing non-trivial relaxation dynamics.