“…These requirements may be realized in current and near-future experiments. In fact, there are many platforms that can be used to implement our scheme, including membrane-in-the-middle configurations [80,86,88,89,95,[134][135][136], ultracold atoms inside a cavity [85], photonic crystals [93,94,98,101], circuit QED [96], electromechanical systems [74,[81][82][83]103,104], microdisks [87,[90][91][92], and optically levitated particles [97,99,105,[137][138][139]. In particular, very large quadratic couplings are within reach of current experiments [87,94,98,140,141].…”