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Coarse-grained controllability of wavepackets by free evolution and phase shifts
E A Shapiro1, Misha Yu Ivanov, Yuly Billig
1Steacie Institute for Molecular Science, National Research Council of Canada, Ottawa, Ontario K1A 0R6, Canada.
The Journal of Chemical Physics
|July 23, 2004
Summary
We introduce coarse-grained control for wavepacket dynamics, proving 2D rotational wavepackets are controllable using free evolution and AC Stark shifts, even with smooth laser field dependence.
Area of Science:
- Quantum mechanics
- Quantum control
- Mathematical physics
Background:
- Controlling quantum systems is crucial for quantum technologies.
- Wavepacket dynamics require precise manipulation for desired outcomes.
- Existing control methods often face limitations in complexity and experimental realization.
Purpose of the Study:
- To develop a novel approach for controlling wavepacket dynamics.
- To establish a criterion for wavepacket controllability.
- To investigate coarse-grained control in infinite-dimensional Hilbert spaces.
Main Methods:
- Introduced the concept of "coarse-grained control".
- Utilized loop groups for a coarse-grained description of controllability.
- Analyzed discretized properties of wavepacket localization on an orbit.
Main Results:
- Proved that 2D rotational wavepackets are controllable.
- Demonstrated control is achievable through free evolution and phase kicks.
- Showed the effectiveness of AC Stark shifts, even with smooth coordinate dependence from laser fields, at fractional revivals.
Conclusions:
- The proposed coarse-grained control approach offers a viable method for manipulating wavepacket dynamics.
- Controllability of 2D rotational wavepackets is demonstrated under specific conditions.
- The findings have implications for designing quantum control schemes in complex systems.