title: Shortcuts to adiabaticity in a time-dependent box.
abstract: A method is proposed to drive an ultrafast non-adiabatic dynamics of an ultracold gas trapped in a time-dependent box potential. The resulting state is free from spurious excitations associated with the breakdown of adiabaticity, and preserves the quantum correlations of the initial state up to a scaling factor. The process relies on the existence of an adiabatic invariant and the inversion of the dynamical self-similar scaling law dictated by it. Its physical implementation generally requires the use of an auxiliary expulsive potential. The method is extended to a broad family of interacting many-body systems. As illustrative examples we consider the ultrafast expansion of a Tonks-Girardeau gas and of Bose-Einstein condensates in different dimensions, where the method exhibits an excellent robustness against different regimes of interactions and the features of an experimentally realizable box potential.
authors.affiliation: Los Alamos National Laboratory, Theoretical Division T-4 and T-CNLS, Los Alamos, NM 87545, USA. delcampo@lanl.gov
authors.forename: A
authors.initials: A
authors.lastname: del Campo
authors.forename: M G
authors.initials: MG
authors.lastname: Boshier