Luís E E de Araujo and Ian A Walmsley 2003 J. Opt. B: Quantum Semiclass. Opt. 5 R27 doi:10.1088/1464-4266/5/1/202
Luís E E de Araujo1 and Ian A Walmsley2
Show affiliationsIn this article, we review a different approach to controlling quantum systems. We show that the quantum control problem can be greatly simplified by limiting the duration of the driving force to less than one characteristic period of the system. (For an atomic-electron Rydberg wavepacket this would be the Kepler period, for example, or the vibrational period in the case of a molecule.) If the target state is a bound state of the system, then for times less than the characteristic period, the particle does not have the opportunity to reach the system's boundary and acts essentially as a classical free particle. Such a restriction on the duration of the driving field allows an analytic solution to be found, even in the nonperturbative regime, helping clarify some of the differences between the perturbative and the nonperturbative regimes of excitation. We also show that our solution is nonunique, and the quantum controller has a multiplicity of solutions to chose from.
03.65.Ge Solutions of wave equations: bound states
Issue 1 (February 2003)
Received 3 October 2002
Published 9 December 2002
Luís E E de Araujo and Ian A Walmsley 2003 J. Opt. B: Quantum Semiclass. Opt. 5 R27
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