Quantum Properties and Spectra of A Pair of Equivalent Atoms Jaynes-Cummings Model

ZHANG Dan-feng; LYU Shu-chen

doi:10.3788/fgxb20153612.1375

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Quantum Properties and Spectra of A Pair of Equivalent Atoms Jaynes-Cummings Model

更新时间：2020-08-12

- Quantum Properties and Spectra of A Pair of Equivalent Atoms Jaynes-Cummings Model
- Chinese Journal of Luminescence Vol. 36, Issue 12, Pages: 1375-1382(2015)
- 作者机构：
  
  哈尔滨师范大学光电带隙材料省部共建教育部重点实验室,黑龙江哈尔滨,150025
- 作者简介：
- 基金信息：
- DOI：10.3788/fgxb20153612.1375
  CLC： O562
- Received：05 September 2015，
  
  Revised：10 October 2015，
  
  Published：10 December 2015
- 稿件说明：
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张丹凤, 吕树臣,. 等同双原子Jaynes-Cummings模型的量子特性及系统光谱[J]. 发光学报, 2015,36(12): 1375-1382

ZHANG Dan-feng, LYU Shu-chen,. Quantum Properties and Spectra of A Pair of Equivalent Atoms Jaynes-Cummings Model[J]. Chinese Journal of Luminescence, 2015,36(12): 1375-1382
张丹凤, 吕树臣,. 等同双原子Jaynes-Cummings模型的量子特性及系统光谱[J]. 发光学报, 2015,36(12): 1375-1382 DOI： 10.3788/fgxb20153612.1375.

ZHANG Dan-feng, LYU Shu-chen,. Quantum Properties and Spectra of A Pair of Equivalent Atoms Jaynes-Cummings Model[J]. Chinese Journal of Luminescence, 2015,36(12): 1375-1382 DOI： 10.3788/fgxb20153612.1375.

摘要

在全量子理论的背景下提出两个二能级原子分别与一单模腔场相互作用的系统模型

利用量子主方程和数值模拟计算等方法

研究该体系中腔场平均光子数、Mandel's

因子及二阶量子相关度在非稳态时的变化规律。此外

对体系中原子及腔场中光谱结构进行了分析。结果表明:减小腔场耗散系数

增大原子间耦合系数

体系量子特性愈加明显。体系光谱呈现出Mollow 三重峰结构

且原子辐射谱强度远大于腔场辐射谱强度。当原子跃迁频率与腔场跃迁频率为近共振时

Mollow峰值为三峰中最大值。此外

增大原子与腔场间耦合系数

可增大原子光谱的中峰强度;而增大腔场光谱的中峰强度

则需减小原子与腔场间耦合系数。

Abstract

Based on the all-quantum theory

the system which includes two double-level atoms interacting with two single-mode cavity fields separately was studied. With making the Markoff and the rotating-wave approximations

using quantum master equation and the numerical simulation

we investigated the influence of the cavity dissipation coefficient and the cavity-cavity coupling coefficient on the mean photon number distribution under the unsteady situation. In the meantime

we discussed how the Mandel's

parameter and the second-order coherence were changing

and then analyzed the quantum effects of the system. Besides that

we analyzed the spectra of the atoms and the cavities. The results show that the system quantum properties become more obvious by reducing the cavity dissipation coefficient and increasing the coupling coefficient between cavities. The system spectra present Mollow three peak structure

and the atomic emission spectrum intensity is greater than the cavity field spectrum intensity. When the atomic transition frequency and the cavity transition frequency is near resonance

the Mollow peak is the highest of the three peaks. In addition

the spectrum intensity of the atomic middle peak increases with the increasing of the atom-cavity coupling coefficient

and the spectrum intensity of the cavity middle peak is quite opposite.

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Keywords

references

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ZHANG Yang

LYU Shu-chen

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Key Laboratory of Photoelectric Bandgap Materials, Ministry of Education, Harbin Normal University

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