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We review the methods to preserve the initial state populations in a fast harmonic trap expansion. The design of the time dependence of the frequency using inverse techniques presents advantages over the slow adiabatic approach, band-bang methods, or the non-local "transitionless tracking'' algorithm. Many operations with cold atoms make use of adiabatic expansions and would benefit from such a shortcut to adiabaticity.
}, issn = {2079-7346}, doi = {https://doi.org/10.4208/jams.012910.021010a}, url = {http://global-sci.org/intro/article_detail/jams/8061.html} }We review the methods to preserve the initial state populations in a fast harmonic trap expansion. The design of the time dependence of the frequency using inverse techniques presents advantages over the slow adiabatic approach, band-bang methods, or the non-local "transitionless tracking'' algorithm. Many operations with cold atoms make use of adiabatic expansions and would benefit from such a shortcut to adiabaticity.