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arXiv · 1710.10207

Hamiltonian design to prepare arbitrary states of four-level systems

Y. - C. Li·D. Martínez·S. Martínez-Garaot·X. Chen·J. G. Muga
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Abstract

We propose a method to manipulate, possibly faster than adiabatically, four-level systems with time-dependent couplings and constant energy shifts (detunings in quantum-optical realizations). We inversely engineer the Hamiltonian, in ladder, tripod, or diamond configurations, to prepare arbitrary states using the geometry of four-dimensional rotations to set the state populations, specifically we use Cayley's factorization of a general rotation into right- and left-isoclinic rotations.

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Y. - C. Li, D. Martínez, S. Martínez-Garaot, X. Chen, J. G. Muga. 2017-10-27. Hamiltonian design to prepare arbitrary states of four-level systems. https://doi.org/10.1103/physreva.97.013830

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