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Quantum driving protocols for a two level system: from generalized Landau-Zener sweeps to superadiabatic control

2012/11/07 by N. Malossi, Malossi, N., M. G. Bason +11
Physics and Astronomy · #FOS: Physical sciences #Quantum Gases (cond-mat.quant-gas) #Quantum Physics (quant-ph) #cond-mat.quant-gas #quant-ph

paper · pdf · doi:10.48550/arxiv.1211.1586

11 pages, 10 figures

arxiv created 2012/11/07 · arxiv updated 2012/11/08

Abstract

We present experimental results on the preparation of a desired quantum state in a two-level system with the maximum possible fidelity using driving protocols ranging from generalizations of the linear Landau-Zener protocol to transitionless driving protocols that ensure perfect following of the instantaneous adiabatic ground state. We also study the minimum time needed to achieve a target fidelity and explore and compare the robustness of some of the protocols against parameter variations simulating a possible experimental uncertainty. In our experiments, we realize a two-level model system using Bose-Einstein condensates inside optical lattices, but the results of our investigation should hold for any quantum system that can be approximated by a two-level system.

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