Fast transitionless expansions of Gaussian anharmonic traps for cold atoms: Bang-singular-bang control

摘要

Combining invariant-based inverse engineering, perturbation theory, and optimal control theory, we design fast, transitionless expansions of cold neutral atoms or ions in Gaussian anharmonic traps. Bounding the possible trap frequencies and using a "bang-singular-bang" control we find fast processes for a continuum of durations up to a minimum time that corresponds to a purely bang-bang (stepwise frequency constant) control.