Exact analytical results for a two-level quantum system under a Lorentzian-shaped pulse field

doi:10.1088/1674-1056/ab8890

中国物理B ›› 2020, Vol. 29 ›› Issue (6): 60305-060305.doi: 10.1088/1674-1056/ab8890

• SPECIAL TOPIC—Recent advances in thermoelectric materials and devices • 上一篇下一篇

Exact analytical results for a two-level quantum system under a Lorentzian-shaped pulse field

Qiong-Tao Xie(谢琼涛), Xiao-Liang Liu(刘小良)

1 College of Physics and Electronic Engineering, Hainan Normal University, Haikou 571158, China;
2 School of Physics and Electronics, Central South University, Changsha 410083, China

收稿日期:2020-02-10 修回日期:2020-03-29 出版日期:2020-06-05 发布日期:2020-06-05
通讯作者: Qiong-Tao Xie E-mail:qiongtaoxie@yahoo.com
基金资助:
Project supported by the Natural Science Foundation of Hainan Province, China (Grant No. 2019RC179).

Exact analytical results for a two-level quantum system under a Lorentzian-shaped pulse field

Qiong-Tao Xie(谢琼涛)¹, Xiao-Liang Liu(刘小良)²

1 College of Physics and Electronic Engineering, Hainan Normal University, Haikou 571158, China;
2 School of Physics and Electronics, Central South University, Changsha 410083, China

Received:2020-02-10 Revised:2020-03-29 Online:2020-06-05 Published:2020-06-05
Contact: Qiong-Tao Xie E-mail:qiongtaoxie@yahoo.com
Supported by:
Project supported by the Natural Science Foundation of Hainan Province, China (Grant No. 2019RC179).

摘要/Abstract

摘要：

We investigate a two-level quantum system driven by a Lorentzian-shaped pulse field. An analytical solution is presented in terms of the confluent Heun functions. It is shown that for specially chosen parameter conditions, there are a number of the exact analytical solutions in an explicit form. The dependence of the final transition probabilities in the two levels on the system parameters is derived analytically and confirmed numerically.

关键词: exact solution, Lorentzian-shaped pulse, two-level system

Abstract:

Key words: exact solution, Lorentzian-shaped pulse, two-level system

中图分类号: (Quantum systems with finite Hilbert space)

03.65.Aa

02.30.Gp (Special functions) 42.50.-p (Quantum optics) 42.50.Ct (Quantum description of interaction of light and matter; related experiments)

谢琼涛, 刘小良. Exact analytical results for a two-level quantum system under a Lorentzian-shaped pulse field[J]. 中国物理B, 2020, 29(6): 60305-060305.

Qiong-Tao Xie(谢琼涛), Xiao-Liang Liu(刘小良). Exact analytical results for a two-level quantum system under a Lorentzian-shaped pulse field[J]. Chin. Phys. B, 2020, 29(6): 60305-060305.

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Exact analytical results for a two-level quantum system under a Lorentzian-shaped pulse field

Exact analytical results for a two-level quantum system under a Lorentzian-shaped pulse field

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