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From quantum optimal control theory to coherent destruction of tunneling

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Abstract

In this paper, we study coherent destruction of tunneling in driven spin-boson model. We formulate this physical process as a quantum optimal control problem. A running cost functional has been used to address the optimal control problem at hand. The dynamic is described by a Born–Markov master equation derived using the Bloch–Redfield formalism. We use the techniques of automatic differentiation to compute the gradient for the cost functional. We write the optimal control field as monochromatic plane wave. The robustness of the control profile against temperature and the system–bath coupling variations are also analyzed.

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  1. 13 rue Saint Fulbert, 69008, Lyon, France

    Hamza Jirari

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  1. Hamza Jirari
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Correspondence to Hamza Jirari.

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Jirari, H. From quantum optimal control theory to coherent destruction of tunneling. Eur. Phys. J. B 92, 21 (2019). https://doi.org/10.1140/epjb/e2018-90231-5

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  • DOI: https://doi.org/10.1140/epjb/e2018-90231-5

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