Analytic solutions for generalized PT-symmetric Rabi models

doi:10.1088/1674-1056/ab457b

中国物理B ›› 2019, Vol. 28 ›› Issue (11): 114202-114202.doi: 10.1088/1674-1056/ab457b

• ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS • 上一篇下一篇

Analytic solutions for generalized PT-symmetric Rabi models

Yuanhao Dong(董元浩), Wen-Jing Zhang(张文静), Jing Liu(刘静), Xiao-Tao Xie(谢小涛)

1 School of Physics and Information Technology, Shaanxi Normal University, Xi'an 710119, China;
2 School of Physics, Northwest University, Xi'an 710069, China

收稿日期:2019-06-11 修回日期:2019-09-06 出版日期:2019-11-05 发布日期:2019-11-05
通讯作者: Wen-Jing Zhang, Xiao-Tao Xie E-mail:wjzhang@nwu.edu.cn;xtxie@snnu.edu.cn
基金资助:
Project supported in part by the National Natural Science Foundation of China (Grant No. 11874251), the Scientific Research Starting Foundation of Shaanxi Normal University, China, and the Scientific Research Plan Funded by the Education Department of Shaanxi Province, China (Grant No. 17JK0786).

Analytic solutions for generalized PT-symmetric Rabi models

Yuanhao Dong(董元浩)¹, Wen-Jing Zhang(张文静)², Jing Liu(刘静)¹, Xiao-Tao Xie(谢小涛)¹

1 School of Physics and Information Technology, Shaanxi Normal University, Xi'an 710119, China;
2 School of Physics, Northwest University, Xi'an 710069, China

Received:2019-06-11 Revised:2019-09-06 Online:2019-11-05 Published:2019-11-05
Contact: Wen-Jing Zhang, Xiao-Tao Xie E-mail:wjzhang@nwu.edu.cn;xtxie@snnu.edu.cn
Supported by:
Project supported in part by the National Natural Science Foundation of China (Grant No. 11874251), the Scientific Research Starting Foundation of Shaanxi Normal University, China, and the Scientific Research Plan Funded by the Education Department of Shaanxi Province, China (Grant No. 17JK0786).

摘要/Abstract

摘要： We theoretically investigate the exact solutions for generalized parity-time(PT)-reversal-symmetric Rabi models driven by external fields with monochromatic periodic, linear, and parabolic forms, respectively. The corresponding exact solutions are presented in terms of the confluent Heun equations without any approximation. In principle, the analytic solutions derived here are valid in the whole parameter space. Such a kind of study may offer potential coherent control schemes of the PT-symmetric two-level systems.

关键词: Rabi model, PT symmetry, population dynamics

Abstract: We theoretically investigate the exact solutions for generalized parity-time(PT)-reversal-symmetric Rabi models driven by external fields with monochromatic periodic, linear, and parabolic forms, respectively. The corresponding exact solutions are presented in terms of the confluent Heun equations without any approximation. In principle, the analytic solutions derived here are valid in the whole parameter space. Such a kind of study may offer potential coherent control schemes of the PT-symmetric two-level systems.

Key words: Rabi model, PT symmetry, population dynamics

中图分类号: (Quantum optics)

42.50.-p

42.25.Bs (Wave propagation, transmission and absorption) 11.30.Er (Charge conjugation, parity, time reversal, and other discrete symmetries)

董元浩, 张文静, 刘静, 谢小涛. Analytic solutions for generalized PT-symmetric Rabi models[J]. 中国物理B, 2019, 28(11): 114202-114202.

Yuanhao Dong(董元浩), Wen-Jing Zhang(张文静), Jing Liu(刘静), Xiao-Tao Xie(谢小涛). Analytic solutions for generalized PT-symmetric Rabi models[J]. Chin. Phys. B, 2019, 28(11): 114202-114202.

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Analytic solutions for generalized PT-symmetric Rabi models

Analytic solutions for generalized PT-symmetric Rabi models

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