Adiabatic heating strategies in many-body classical systems and plasmas

We discuss adiabatic strategies for heating a gas of particles harmonically trapped in the presence of another gas of particles which are also harmonically trapped, while also experiencing nonlinear interatomic interactions. These include recently proposed strategies, namely shortcuts to adiabaticity, in which the cooling or heating occurs quickly, at variance with the usual occurrence over times much longer than intrinsic timescales. Using quantitative indicators, we track the extent of adherence to Maxwell-Boltzmann energy distributions of both gases during the compression transient. The model, although aimed at addressing ionized gases, also allows for local and extended interactions, interpolating between the description of neutral atomic gases and ordered condensed matter systems, with plasmas – exhibiting genuine nonlinear behavior – in the intermediate regime.