“…These results, as an example to achieve specific macroscopic quantum state, provide an efficient way to investigate the nonclassical nature of massive objects, facilitating the exploration of various ultrastrongcoupling-enabled quantum effects, such as photon or phonon blockade [38], and quantum phase transition [39]. Moreover, apart from the one-dimensional BEC-based COM system, our work can also be realized with other types of BEC gases, e.g., annular BEC [33], spinor BEC [32,40], multi-component BEC [41,42] and molecular Fermi-BEC [43]. As such, we believe that our proposed scheme is poised to serve in fundamental tests of quantum theories, provide key quantum resources to emerging quantum technologies, and function as promising platforms to investigate the coherent light-motion interactions.…”