Optimizing feedback cooling for weakly monitored Bose-Einstein condensates*

Weak measurement in tandem with real-time feedback control is a new route toward engineering novel non-equilibrium quantum matter. Here we develop a theoretical toolbox for quantum feedback control of Bose-Einstein condensates (BECs) using backaction-limited weak measurements in conjunction with spatially resolved feedback. In this talk, I focus on applying feedback via a single-particle potential, which prevents runaway heating that would otherwise result from measurement backaction. I present an analytical toy model for effective feedback cooling and compare different protocols with our stochastic GPE simulation results. Our results demonstrate that closed-loop quantum control of Bose-Einstein condensates is a powerful new tool for quantum engineering in cold-atom systems.