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arXiv · 0804.2874

Analytical solution for optimal squeezing of wave packet of a trapped quantum particle

Ilya Grigorenko
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Abstract

Optimal control problem with a goal to squeeze wave packet of a trapped quantum particle is considered and solved analytically using adiabatic approximation. The analytical solution that drives the particle into a highly localized final state is presented for a case of an infinite well trapping potential. The presented solution may be applied to increase the resolution of atom lithography.

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Ilya Grigorenko. 2008-04-17. Analytical solution for optimal squeezing of wave packet of a trapped quantum particle. https://doi.org/10.1063/1.2885049

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