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

doi:10.1088/1674-1056/ab8890

Abstract

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.

Keywords: exact solution Lorentzian-shaped pulse two-level system

Received: 10 February 2020
Revised: 29 March 2020
Accepted manuscript online:

PACS:	03.65.Aa	(Quantum systems with finite Hilbert space)
	02.30.Gp	(Special functions)
	42.50.-p	(Quantum optics)
	42.50.Ct	(Quantum description of interaction of light and matter; related experiments)

Fund:

Project supported by the Natural Science Foundation of Hainan Province, China (Grant No. 2019RC179).

Corresponding Authors: Qiong-Tao Xie
E-mail: qiongtaoxie@yahoo.com

Cite this article:

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 2020 Chin. Phys. B 29 060305

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

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