Monte Carlo simulations of electromagnetically induced transparency in a square lattice of Rydberg atoms

doi:10.1088/1674-1056/abd75a

中国物理B ›› 2021, Vol. 30 ›› Issue (7): 74206-074206.doi: 10.1088/1674-1056/abd75a

Monte Carlo simulations of electromagnetically induced transparency in a square lattice of Rydberg atoms

Shang-Yu Zhai(翟尚宇)^1,2 and Jin-Hui Wu(吴金辉)^1,2,†

1 Center for Quantum Sciences, Northeast Normal University, Changchun 130117, China;
2 School of Physics, Northeast Normal University, Changchun 130024, China

收稿日期:2020-10-19 修回日期:2020-12-11 接受日期:2020-12-30 出版日期:2021-06-22 发布日期:2021-07-02
通讯作者: Jin-Hui Wu E-mail:jhwu@nenu.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 12074061).

Monte Carlo simulations of electromagnetically induced transparency in a square lattice of Rydberg atoms

Shang-Yu Zhai(翟尚宇)^1,2 and Jin-Hui Wu(吴金辉)^1,2,†

1 Center for Quantum Sciences, Northeast Normal University, Changchun 130117, China;
2 School of Physics, Northeast Normal University, Changchun 130024, China

Received:2020-10-19 Revised:2020-12-11 Accepted:2020-12-30 Online:2021-06-22 Published:2021-07-02
Contact: Jin-Hui Wu E-mail:jhwu@nenu.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 12074061).

摘要/Abstract

摘要： We study the steady optical response of a square lattice in which all trapped atoms are driven by a probe and a coupling fields into the ladder configuration of electromagnetically induced transparency (EIT). It turns out to be a many-body problem in the presence of van der Waals (vdW) interaction among atoms in the upmost Rydberg state, so Monte Carlo (MC) calculation based on density matrix equations have been done after introducing a sufficiently large cut-off radius. It is found that the absorption and dispersion of EIT spectra depends critically on a few key parameters like lattice dimension, unitary vdW shift, probe Rabi frequency, and coupling detuning. Through modulating these parameters, it is viable to change symmetries of the absorption and dispersion spectra and control on demand depth and position of the transparency window. Our MC calculation is expected to be instructive in understanding many-body quantum coherence effects and in manipulating non-equilibrium quantum phenomena by utilizing vdW interactions of Rydberg atoms.

关键词: electromagnetically induced transparency, Rydberg atomic lattices, Monte Carlo simulations

Abstract: We study the steady optical response of a square lattice in which all trapped atoms are driven by a probe and a coupling fields into the ladder configuration of electromagnetically induced transparency (EIT). It turns out to be a many-body problem in the presence of van der Waals (vdW) interaction among atoms in the upmost Rydberg state, so Monte Carlo (MC) calculation based on density matrix equations have been done after introducing a sufficiently large cut-off radius. It is found that the absorption and dispersion of EIT spectra depends critically on a few key parameters like lattice dimension, unitary vdW shift, probe Rabi frequency, and coupling detuning. Through modulating these parameters, it is viable to change symmetries of the absorption and dispersion spectra and control on demand depth and position of the transparency window. Our MC calculation is expected to be instructive in understanding many-body quantum coherence effects and in manipulating non-equilibrium quantum phenomena by utilizing vdW interactions of Rydberg atoms.

Key words: electromagnetically induced transparency, Rydberg atomic lattices, Monte Carlo simulations

中图分类号: (Effects of atomic coherence on propagation, absorption, and Amplification of light; electromagnetically induced transparency and Absorption)

42.50.Gy

32.80.Ee (Rydberg states) 37.10.Gh (Atom traps and guides)

Shang-Yu Zhai(翟尚宇) and Jin-Hui Wu(吴金辉). Monte Carlo simulations of electromagnetically induced transparency in a square lattice of Rydberg atoms[J]. 中国物理B, 2021, 30(7): 74206-074206.

Shang-Yu Zhai(翟尚宇) and Jin-Hui Wu(吴金辉). Monte Carlo simulations of electromagnetically induced transparency in a square lattice of Rydberg atoms[J]. Chin. Phys. B, 2021, 30(7): 74206-074206.

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Monte Carlo simulations of electromagnetically induced transparency in a square lattice of Rydberg atoms

Monte Carlo simulations of electromagnetically induced transparency in a square lattice of Rydberg atoms

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