Fast atomic transport without vibrational heating

By E. Torrontegui, S. Ib'anez, Xiangshan Chen, Xi Chen, Andreas Ruschhaupt, David Guéry-Odelin, Juan Gonzalo Muga. 2010

200 citations recorded by the source corpus.

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 nonadiabatically 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 along with 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.

Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics

View Paper: https://www.semanticscholar.org/paper/075ce179e5092663a078f6e6ecf13ae0cb18c26d

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In Atomic and Molecular Physics, and Optics

Citations in the corpus

The Quantum Harmonic Otto Cycle (2016, result): “The invariant must satisfy [Ĥ, Î] = 0 for the initial τi and final τf times, then at these times the eigenstates of the invariant at the initial and final time of the adiabat are identical to those of the Hamiltonian [83, 84].”
Shortcuts to Adiabaticity (2012, methodology): “- Example 2: Harmonic transport with a trap of constant frequency ω0/2π and displacement q0(t) (Torrontegui et al., 2011), see Sec.”
Classical and Quantum Shortcuts to Adiabaticity for Scale-Invariant Driving (2014, background): “CD provides an exact STA to transport process, directly applicable to many-body systems such as trapped ion chains, without the restrictions to pertubative treatments in previous proposals [31, 76].”
Shortcuts to adiabaticity: Concepts, methods, and applications (2019, methodology): “This result is exactly the one found by the “compensating force approach” within invariantbased inverse engineering (Torrontegui et al., 2011), see Sec.”