Dynamical model of coherent circularly polarised optical pulse interactions with two-level quantum systems

G Slavcheva, Ortwin Hess

Research output: Contribution to journalArticle

21 Citations (Scopus)

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 (ΔJz=±1) excited by a circularly polarized electromagnetic field [ Feynman et al. 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.
Original languageEnglish
Article number053804
Number of pages9
JournalPhysical Review A: Atomic, Molecular, and Optical Physics
Volume72
DOIs
Publication statusPublished - 3 Nov 2005

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Maxwell equation
electromagnetic fields
pulses
interactions
polarized light
electric dipoles
wave propagation
angular momentum
solitary waves
projection
dipoles
perturbation
propagation
polarization
approximation
excitation
atoms

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Dynamical model of coherent circularly polarised optical pulse interactions with two-level quantum systems. / Slavcheva, G; Hess, Ortwin.

In: Physical Review A: Atomic, Molecular, and Optical Physics, Vol. 72, 053804, 03.11.2005.

Research output: Contribution to journalArticle

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AB - 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 (ΔJz=±1) excited by a circularly polarized electromagnetic field [ Feynman et al. 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.

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