Electromagnetically induced transparency in $V$-, $\ensuremath{\Lambda}$-, and cascade-type schemes beyond steady-state analysis

Electromagnetically induced transparency in $V$ -, $Λ$ -, and cascade-type schemes beyond steady-state analysis

Ying Wu and Xiaoxue Yang

Phys. Rev. A 71, 053806 – Published 12 May 2005

Abstract

We analyze the electromagnetically induced transparency (EIT) in $V$ -, $Λ$ -, and cascade-type schemes in a time-dependent way via the Schrödinger-Maxwell formalism. We derive explicitly the analytical expressions of the space-time dependent probe field, the corresponding phase shift, absorption or amplification, group velocity, and group velocity dispersion for all the three schemes. These simple analytical expressions not only demonstrate explicitly the similarities and essential differences of the three schemes but also provide a convenient basis for investigating how the many-body effects in solids modify the magnitude, spectral shape, and space and time dependence of EIT and EIT-related quantum coherence phenomena.

Received 16 September 2004

DOI:https://doi.org/10.1103/PhysRevA.71.053806

Authors & Affiliations

Ying Wu^1,2,3 and Xiaoxue Yang¹

¹State Key Laboratory for Laser Technique and Physics Department, Huazhong University of Science and Technology, Wuhan 430074, People’s Republic of China
²School of Physics Science and Information Technology, Liaocheng University, Liaocheng, Shandong 252059, People’s Republic of China
³Center for Cold Atom Physics, The Chinese Academy of Sciences, Wuhan 430071, People’s Republic of China

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Vol. 71, Iss. 5 — May 2005

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Physical Review A

covering atomic, molecular, and optical physics and quantum information

Electromagnetically induced transparency in $V$ -, $Λ$ -, and cascade-type schemes beyond steady-state analysis

Ying Wu and Xiaoxue Yang

Phys. Rev. A 71, 053806 – Published 12 May 2005

Abstract

Authors & Affiliations

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Physical Review A

covering atomic, molecular, and optical physics and quantum information

Electromagnetically induced transparency in V-, Λ-, and cascade-type schemes beyond steady-state analysis

Ying Wu and Xiaoxue Yang

Phys. Rev. A 71, 053806 – Published 12 May 2005

Abstract

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Electromagnetically induced transparency in $V$ -, $Λ$ -, and cascade-type schemes beyond steady-state analysis