Dynamics of the Gross-Pitaevskii Equation and Shortcuts to Adiabaticity
Procedures which vary the parameters of a model in an adiabatic way have applications in many areas of quantum technology. However, explicitly employing adiabatic evolution often leads to decoherence issues due to systems interacting with their environment. For this reason, there has been much interest in developing shortcuts to adiabaticity in which the target final state is reached in a finite duration change of parameter. In this thesis, we design and study a shortcut to adiabaticity in an interacting Bose-Einstein condensate. In particular, we study the response induced by ramps in the interaction strength of such a system. We determine the power law decay exponents of the induced excitations as well as the characteristic frequency with which these excitations oscillate with respect to the duration and mean values of the ramps.
National University of Ireland - Maynooth
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