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Dynamical Model of Coherent Circularly Polarized Optical Pulse Interactions with Two-Level Quantum Systems

Slavcheva, G and Hess, O (2005) Dynamical Model of Coherent Circularly Polarized Optical Pulse Interactions with Two-Level Quantum Systems Physical Review A, 72 (5). ISSN 1050-2947

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Abstract

We propose and develop a method for theoretical description of circularly (elliptically) polarized optical pulse resonant coherent interactions with two-level atoms. The method is based on the time-evolution equations of a two-level quantum system in the presence of a time-dependent dipole perturbation for electric dipole transitions between states with total angular-momentum projection difference (Delta J(z)=+/- 1) excited by a circularly polarized electromagnetic field [Feynman , J. Appl. Phys. 28, 49 (1957)]. The adopted real-vector representation approach allows for coupling with the vectorial Maxwell's equations for the optical wave propagation and thus the resulting Maxwell pseudospin equations can be numerically solved in the time domain without any approximations. The model permits a more exact study of the ultrafast coherent pulse propagation effects taking into account the vector nature of the electromagnetic field and hence the polarization state of the optical excitation. We demonstrate self-induced transparency effects and formation of polarized solitons. The model represents a qualitative extension of the well-known optical Maxwell-Bloch equations valid for linearly polarized light and a tool for studying coherent quantum control mechanisms.

Item Type: Article
Additional Information: Published in <i>Physical Review A,</i> Vol. 72, Iss. 5. Copyright 2005 American Physical Society. Click <a href=http://pra.aps.org/>here</a> to access the journal's website.
Divisions: Faculty of Engineering and Physical Sciences > Physics
Depositing User: Mr Adam Field
Date Deposited: 27 May 2010 14:07
Last Modified: 23 Sep 2013 18:26
URI: http://epubs.surrey.ac.uk/id/eprint/245

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