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Population Trapping in the Excited State of an Open Two-level Atomic System Under Non-Hermitian Feedback Controls

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Abstract

We investigate the excited-state population of an open two-level atomic system under the quantum feedback control with non-Hermitian feedback Hamiltonian. We firstly derive the master equation under non-Hermitian feedback controls for the two-level atomic system by using the general measurement theory and then respectively discuss the effect of different feedback parameters on the excited-state population. The results show that the excited-state population can be effectively protected from dissipative environments by adjusting feedback parameters. Furthermore, two schemes to realize long-time excited-state population trapping are proposed. The one is under the quantum feedback control with parity-time (PT)-symmetric feedback Hamiltonian, and the other recovers to the Hermitian quantum-jump-based feedback control. These originally come from the fact that the decay of the open two-level atomic system can be completely balanced by feedback controls with proper feedback parameters.

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Acknowledgements

This work is supported by the National Natural Science Foundation of China (Grant Nos.11374096) and the Startup Foundation for Doctors of Hunan University of Arts and Science (18BSQD31).

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Authors and Affiliations

  1. College of Mathematics and Physics Science, Hunan University of Arts and Science, Changde, 415000, China

    Min Yu

  2. Department of Physics, Key Laboratory of Low-Dimensional Quantum Structures and Quantum Control of Ministry of Education, and Synergetic Innovation Center for Quantum Effects and Applications, Hunan Normal University, Changsha, 410081, China

    Mao-Fa Fang

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  1. Min Yu
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Correspondence to Min Yu.

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Yu, M., Fang, MF. Population Trapping in the Excited State of an Open Two-level Atomic System Under Non-Hermitian Feedback Controls. Int J Theor Phys 60, 1556–1564 (2021). https://doi.org/10.1007/s10773-021-04778-0

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  • DOI: https://doi.org/10.1007/s10773-021-04778-0

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