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

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

2008-04-17

arxiv.org/abs/0804.2874v1

Physics

Quantum Physics

Scientific paper

10.1063/1.2885049

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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