“…A paradigmatic example could be optical lattices, either generated by optical waveguides [6][7][8], coupled to optical cavities [23] or mechanical modes [24], or tailored such that the roles of qubit motion and photonic modes are played by other degrees of freedom, such as spin states [25], different species of quantum emitters [26,27], or free (untrapped) atomic transitions [4,28,29]. An alternative possibility to engineer the above interactions is to use mechanical degrees of freedom, either in the form of acoustic waves modulating optical waveguides [30] or in the form of acoustic lattices for other particles and quasiparticles, such as electrons [31] or exciton-polaritons [32,33]. Implementations in microwave quantum devices could also be engineered using, e.g., flying Rydberg atoms [34].…”