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We introduce a bang-bang shortcut to adiabaticity for the Dicke model, whichwe implement via a 2-D array of trapped ions in a Penning trap with aspin-dependent force detuned close to the center-of-mass drumhead mode. Ourfocus is on employing this shortcut to create highly entangled states that canbe used in high-precision metrology. We highlight that the performance of thebang-bang approach is comparable to standard preparation methods, but can beapplied over a much shorter time frame. We compare these theoretical ideas withexperimental data which serve as a first step towards realizing thistheoretical procedure for generating multi-partite entanglement.

Bang-bang shortcut to adiabaticity in the Dicke model as realized in a Penning trap experiment