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Shortcuts to Adiabatic Passage for Population Transfer Between two Atoms in a Cavity

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Abstract

Shortcuts to adiabaticity (STA) are the fast routes to the final results of slow, adiabatic changes of the controlling parameters of a system. In this work, we investigate a theoretical model in which two Λ-type atoms embedded in a single mode cavity, and a shortcut was proposed to speed up the adiabatic process. In the spirit of non-Hermitian (NH) shortcut approach, by adding several imaginary terms in the original Hamilton, a modified Hamiltonian is provided and we find it’s Hermitian. Numerical simulation demonstrates that compared with the previous works using the stimulated Raman adiabatic passage, the evolution of the quantum state transfer can be significantly sped up with our present scheme. Also, the efficiency of population transfer with respect to changes in various parameters of laser fields has been numerically studied. Furthermore, the physical realization of the modified Hamiltonian is discussed in the conclusion.

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Acknowledgements

This work is supported by the National Key R&D Program of China, Grant No. 2017YFA0304304, and the NSFC, Grant No. 11935012.

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  1. Zhejiang Institute of Modern Physics and Department of Physics, Zhejiang University, Hangzhou, 310027, People’s Republic of China

    Xin Zhao

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  1. Xin Zhao
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Correspondence to Xin Zhao.

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Zhao, X. Shortcuts to Adiabatic Passage for Population Transfer Between two Atoms in a Cavity. Int J Theor Phys 61, 225 (2022). https://doi.org/10.1007/s10773-022-05199-3

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