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Adiabatic ensemble control of a continuum of quantum systems

Abstract : In this article we discuss how to control a parameter-dependent family of quantum systems. Our technique is based on adiabatic approximation theory and on the presence of curves of conical eigenvalue intersections of the controlled Hamiltonian. As particular cases, we recover chirped pulses for two-level quantum systems and counter-intuitive solutions for three-level stimulated Raman adiabatic passage (STIRAP). The proposed technique works for systems evolving both in finite-dimensional and infinite-dimensional Hilbert spaces. We show that the assumptions guaranteeing ensemble controllability are structurally stable with respect to perturbations of the parametrized family of systems.
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Submitted on : Friday, October 19, 2018 - 5:07:58 PM
Last modification on : Wednesday, June 8, 2022 - 12:50:07 PM


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  • HAL Id : hal-01759830, version 2


Nicolas Augier, Ugo Boscain, Mario Sigalotti. Adiabatic ensemble control of a continuum of quantum systems. SIAM Journal on Control and Optimization, Society for Industrial and Applied Mathematics, 2018, 56, pp.4045-4068. ⟨hal-01759830v2⟩



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