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

Journal Article · Thu Nov 15 04:00:00 EST 2012 · Journal of Experimental and Theoretical Physics

DOI:https://doi.org/10.1134/S1063776112090117· OSTI ID:22069277

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.

• OSTI ID: 22069277
• Journal Information: Journal of Experimental and Theoretical Physics, Journal Name: Journal of Experimental and Theoretical Physics Journal Issue: 5 Vol. 115; ISSN JTPHES; ISSN 1063-7761
• Country of Publication: United States
• Language: English

Related Subjects

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