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One of the demanding frontiers in ultracold science is identifying lasercooling schemes for complex atoms and molecules, out of their vast spectra ofinternal states. Motivated by a need to expand the set of available ultracoldmolecules for applications in fundamental physics, chemistry, astrochemistry,and quantum simulation, we propose and demonstrate an automated graph-basedsearch approach for viable laser cooling schemes. The method is time efficientand the outcomes greatly surpass the results of manual searches used so far. Wediscover new laser cooling schemes for C$_2$, OH$^+$, CN, YO, and CO$_2$ thatcan be viewed as surprising or counterintuitive compared to previouslyidentified laser cooling schemes. In addition, a central insight of this workis that the reinterpretation of quantum states and transitions between them asa graph can dramatically enhance our ability to identify new quantum controlschemes for complex quantum systems. As such, this approach will also beapplicable to complex atoms and, in fact, any complex many-body quantum systemwith a discrete spectrum of internal states.

Automated detection of laser cooling schemes for ultracold molecules