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.

journal_name

Sci Rep

journal_title

Scientific reports

authors

del Campo A,Boshier MG

doi

10.1038/srep00648

subject

Has Abstract

pub_date

2012-01-01 00:00:00

pages

648

issn

2045-2322

journal_volume

2

pub_type

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