# Propagation of vector solitons in a quasi-resonant medium with stark deformation of quantum states

## Abstract

The nonlinear dynamics of a vector two-component optical pulse propagating in quasi-resonance conditions in a medium of nonsymmetric quantum objects is investigated for Stark splitting of quantum energy levels by an external electric field. We consider the case when the ordinary component of the optical pulse induces {sigma} transitions, while the extraordinary component induces the {pi} transition and shifts the frequencies of the allowed transitions due to the dynamic Stark effect. It is found that under Zakharov-Benney resonance conditions, the propagation of the optical pulse is accompanied by generation of an electromagnetic pulse in the terahertz band and is described by the vector generalization of the nonlinear Yajima-Oikawa system. It is shown that this system (as well as its formal generalization with an arbitrary number of optical components) is integrable by the inverse scattering transformation method. The corresponding Darboux transformations are found for obtaining multisoliton solutions. The influence of transverse effects on the propagation of vector solitons is investigated. The conditions under which transverse dynamics leads to self-focusing (defocusing) of solitons are determined.

- Authors:

- National Research Centre Kurchatov Institute (Russian Federation)
- Moscow State Railway University, Kaliningrad Branch (Russian Federation)

- Publication Date:

- OSTI Identifier:
- 22069277

- Resource Type:
- Journal Article

- Journal Name:
- Journal of Experimental and Theoretical Physics

- Additional Journal Information:
- Journal Volume: 115; Journal Issue: 5; Other Information: Copyright (c) 2012 Pleiades Publishing, Ltd.; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1063-7761

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ELECTRIC FIELDS; ELECTROMAGNETIC PULSES; ENERGY LEVELS; INTEGRAL CALCULUS; INVERSE SCATTERING PROBLEM; MATHEMATICAL SOLUTIONS; NONLINEAR PROBLEMS; QUANTUM MECHANICS; RESONANCE; SOLITONS; STARK EFFECT; THZ RANGE

### Citation Formats

```
Sazonov, S. V., E-mail: sazonov.sergei@gmail.com, and Ustinov, N. V., E-mail: n_ustinov@mail.ru.
```*Propagation of vector solitons in a quasi-resonant medium with stark deformation of quantum states*. United States: N. p., 2012.
Web. doi:10.1134/S1063776112090117.

```
Sazonov, S. V., E-mail: sazonov.sergei@gmail.com, & Ustinov, N. V., E-mail: n_ustinov@mail.ru.
```*Propagation of vector solitons in a quasi-resonant medium with stark deformation of quantum states*. United States. doi:10.1134/S1063776112090117.

```
Sazonov, S. V., E-mail: sazonov.sergei@gmail.com, and Ustinov, N. V., E-mail: n_ustinov@mail.ru. Thu .
"Propagation of vector solitons in a quasi-resonant medium with stark deformation of quantum states". United States. doi:10.1134/S1063776112090117.
```

```
@article{osti_22069277,
```

title = {Propagation of vector solitons in a quasi-resonant medium with stark deformation of quantum states},

author = {Sazonov, S. V., E-mail: sazonov.sergei@gmail.com and Ustinov, N. V., E-mail: n_ustinov@mail.ru},

abstractNote = {The nonlinear dynamics of a vector two-component optical pulse propagating in quasi-resonance conditions in a medium of nonsymmetric quantum objects is investigated for Stark splitting of quantum energy levels by an external electric field. We consider the case when the ordinary component of the optical pulse induces {sigma} transitions, while the extraordinary component induces the {pi} transition and shifts the frequencies of the allowed transitions due to the dynamic Stark effect. It is found that under Zakharov-Benney resonance conditions, the propagation of the optical pulse is accompanied by generation of an electromagnetic pulse in the terahertz band and is described by the vector generalization of the nonlinear Yajima-Oikawa system. It is shown that this system (as well as its formal generalization with an arbitrary number of optical components) is integrable by the inverse scattering transformation method. The corresponding Darboux transformations are found for obtaining multisoliton solutions. The influence of transverse effects on the propagation of vector solitons is investigated. The conditions under which transverse dynamics leads to self-focusing (defocusing) of solitons are determined.},

doi = {10.1134/S1063776112090117},

journal = {Journal of Experimental and Theoretical Physics},

issn = {1063-7761},

number = 5,

volume = 115,

place = {United States},

year = {2012},

month = {11}

}