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

## 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{sub z}={+-}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.

- Authors:

- Advanced Technology Institute, School of Electronics and Physical Sciences, University of Surrey, Guildford GU2 7XH, Surrey (United Kingdom)

- Publication Date:

- OSTI Identifier:
- 20786583

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physical Review. A; Journal Volume: 72; Journal Issue: 5; Other Information: DOI: 10.1103/PhysRevA.72.053804; (c) 2005 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 74 ATOMIC AND MOLECULAR PHYSICS; ANGULAR MOMENTUM; APPROXIMATIONS; ATOMS; BLOCH EQUATIONS; COUPLING; DIPOLES; DISTURBANCES; E1-TRANSITIONS; ELECTROMAGNETIC FIELDS; EXCITATION; MAXWELL EQUATIONS; OPACITY; OPTICS; POLARIZATION; PULSES; SOLITONS; TIME DEPENDENCE; VECTORS; VISIBLE RADIATION; WAVE PROPAGATION

### Citation Formats

```
Slavcheva, G., and Hess, O..
```*Dynamical model of coherent circularly polarized optical pulse interactions with two-level quantum systems*. United States: N. p., 2005.
Web. doi:10.1103/PHYSREVA.72.0.

```
Slavcheva, G., & Hess, O..
```*Dynamical model of coherent circularly polarized optical pulse interactions with two-level quantum systems*. United States. doi:10.1103/PHYSREVA.72.0.

```
Slavcheva, G., and Hess, O.. Tue .
"Dynamical model of coherent circularly polarized optical pulse interactions with two-level quantum systems". United States.
doi:10.1103/PHYSREVA.72.0.
```

```
@article{osti_20786583,
```

title = {Dynamical model of coherent circularly polarized optical pulse interactions with two-level quantum systems},

author = {Slavcheva, G. and Hess, O.},

abstractNote = {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{sub z}={+-}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.},

doi = {10.1103/PHYSREVA.72.0},

journal = {Physical Review. A},

number = 5,

volume = 72,

place = {United States},

year = {Tue Nov 15 00:00:00 EST 2005},

month = {Tue Nov 15 00:00:00 EST 2005}

}