关联噪声对维纳过程和拉比振荡的影响  

The Effect of the Correlated Noises on the Wiener Process and theRabiOscillation

作　　者：宋鑫 张秀荣 李卫东 SONG Xin;ZHANG Xiurong;LI Weidon(Institute of Theoretical Physics,Shanxi University,Taiyuan 030006,China;School of Physics and Electronic Engineering,Shanxi University,Taiyuan 030006,China;Shenzhen Key Laboratory of Ultraintense Laser and Advanced Material Technology,Center for Advanced Material Diagnostic Technology,and College of Engineering Physics,Shenzhen Technology University,Shenzhen 518118,China;Guangdong Provincial Key Laboratory of Quantum Science and Engineering,Southern University of Science and Technology,Shenzhen 518055,China)

机构地区：[1]山西大学理论物理研究所,山西太原030006 [2]山西大学物理电子工程学院,山西太原030006 [3]深圳技术大学工程物理学院,先进材料诊断技术中心,超强激光与先进材料技术深圳重点实验室,广东深圳518118 [4]南方科技大学广东省量子科学技术与工程重点实验室,广东深圳518055

出　　处：《山西大学学报（自然科学版）》2024年第3期578-582,共5页Journal of Shanxi University(Natural Science Edition)

基　　金：国家自然科学基金(11874247);国家重点研究开发计划(2017YFA0304500);广东省重点实验室(2019B121203002);中国量子光学与量子光学器件国家重点实验室计划(KF201703)

摘　　要：本文利用数值方法,对关联的有色噪声下的类维纳过程和拉比振荡进行了研究。通过统计在同一时刻类维纳过程与维纳过程的位置方差,发现在有色噪声影响下粒子的扩散速率更快;而且棕色噪声比1/f噪声下粒子扩散得更快。对近共振条件下二能级原子系统的拉比振荡,在关联噪声与非关联噪声下的频谱进行了分析,研究发现:随着噪声强度的增加,非关联噪声导致在共振频率附近的频率成分增加,这表现为对拉比谱的展宽,而对于关联噪声,在噪声强度较小时也会导致共振频率附近的频率成分增加,但噪声强度进一步增大将会导致振荡的主要频率成分向零频附近移动。In this paper,the Wiener-like process and the Rabi oscillation with the correlated colored noises are studied numerically.By counting the position variance of the Wiener-like process and the Wiener process at the same time,it is found that the diffusion rate of particles is faster under the influence of the colored noises.And particles will diffuse faster with the brown noise than with 1/f noise.The Rabi oscillation of the two-level atomic system under near-resonance conditions is analyzed,and it is found that with the increase of noise intensity,the non-correlated noise leads to an increase in the frequency component near the resonance frequency,which is manifested as the broadening of the Rabi spectrum,and for the correlated noise,the frequency content near the resonance frequency will also increase when the noise intensity is small.However,the further increasing the noise intensity will cause the main frequency components of the oscillation to move to near the zero frequency.

关 键 词：维纳过程 拉比振荡 白噪声 有色噪声 

分 类 号：O436[机械工程—光学工程]