Complete transfer of populations from a single state to a pre-selected superposition of states using Piecewise Adiabatic Passage

Abstract

We develop a method for executing robust and selective transfer of populations between a single level and pre-selected superpositions of energy eigenstates. Viewed in the frequency domain, our method amounts to executing a series of simultaneous adiabatic passages into each component of the target superposition state. Viewed in {the} time domain, the method works by accumulating the wavefunction of the target wave packet as it revisits the Franck Condon region, in what amounts to an extension of the Piecewise Adiabatic Passage technique [ Shapiro et.al., Phys. Rev. Lett. 99, 033002 (2007)] to the multi-state regime. The viability of the method is verified by performing numerical tests for the Na_2 molecule.

8 pages, 4 figures

References in corpus (10)

• Dipole Blockade and Quantum Information Processing in Mesoscopic Atomic Ensembles
• Quo vadis, cold molecules? - Editorial review
• Multi-valued Logic Gates for Quantum Computation
• Molecular Quantum Computing by an Optimal Control Algorithm for Unitary Transformations
• Quantum Computation with Vibrationally Excited Molecules
• Using Parity Kicks for Decoherence Control
• Precise Control of Molecular Dynamics with a Femtosecond Frequency Comb - A Weak Field Route to Strong Field Coherent Control
• High resolution atomic coherent control via spectral phase manipulation of an optical frequency comb
• Population transfer between two quantum states by piecewise chirping of femtosecond pulses: Theory and experiment
• Piecewise adiabatic population transfer in a molecule via a wave packet

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