Physics – Quantum Physics
Scientific paper
2010-10-15
Phys. Rev. A 83, 013415 (2011)
Physics
Quantum Physics
10 pages, 5 figures
Scientific paper
10.1103/PhysRevA.83.013415
We use the dynamical invariants associated with the Hamiltonian of an atom in a one dimensional moving trap to inverse engineer the trap motion and perform fast atomic transport without final vibrational heating. The atom is driven non-adiabatically through a shortcut to the result of adiabatic, slow trap motion. For harmonic potentials this only requires designing appropriate trap trajectories, whereas perfect transport in anharmonic traps may be achieved by applying an extra field to compensate the forces in the rest frame of the trap. The results can be extended to atom stopping or launching. The limitations due to geometrical constraints, energies and accelerations involved are analyzed, as well as the relation to previous approaches (based on classical trajectories or "fast-forward" and "bang-bang" methods) which can be integrated in the invariant-based framework.
Chen Xi
Guery-Odelin David
Ibáñez S.
Muga Gonzalo J.
Ruschhaupt Andreas
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