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Shortcuts to Adiabatic Passage for Fast Generation of Entangled States in Directly Coupled Bimodal-Mode Cavitieseee

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Abstract

A scheme is proposed for fast generation of entangled states in directly coupled bimodal-mode cavities based on shortcuts to adiabatic passage. The scheme can be realized by transitionless quantum driving with the help of quantum Zeno dynamics and non-resonant lasers. First, we simplify the system by the quantum Zeno dynamics. Then, under the large detuning condition, we get the effective Hamiltonian which is equivalent to the corresponding counter-diabatic driving Hamiltonian to speed up the evolution process. The effects of decoherence induced by atomic spontaneous emission, leakage of the cavity and operational imperfection are also taken into account. The numerical simulation result shows that this scheme is robust against these factors. During realizing the scheme, the laser pulses are not strongly limited and the auxiliary levels or multi-step operations are not needed. Moreover, for any quantum system whose Hamiltonian is possible to be simplified into the same form in the paper, the corresponding alternative physically feasible Hamiltonian can be built with present method, which provides a scalable way for the preparation of entangled states in theory.

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Acknowledgments

This work was supported by the National Natural Science Foundation of China under Grants No. 11575045, No. 11874114 and No. 11674060, the Natural Science Funds for Distinguished Young Scholar of Fujian Province under Grant 2020J06011 and Project from Fuzhou University under Grant JG202001-2.

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Authors and Affiliations

  1. Department of Physics, Fuzhou University, Fuzhou, 350116, China

    Song-Bai Wang & Yan Xia

  2. Fujian Key Laboratory of Quantum Information and Quantum Optics, Fuzhou University, Fuzhou, 350116, China

    Song-Bai Wang & Yan Xia

  3. Department of Physics, Harbin Institute of Technology, Harbin, 150001, China

    Jie Song

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  1. Song-Bai Wang
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  2. Jie Song
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Correspondence to Yan Xia.

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Wang, SB., Song, J. & Xia, Y. Shortcuts to Adiabatic Passage for Fast Generation of Entangled States in Directly Coupled Bimodal-Mode Cavitieseee. Int J Theor Phys 60, 200–213 (2021). https://doi.org/10.1007/s10773-020-04677-w

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