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Journal of the Optical Society of America B

Formation and interaction characteristics of two-component spatial weak-light soliton in a four-level double-Λ type system

Yanchao She, Denglong Wang, Weixi Zhang, He Zhang-Ming, Jianwen Ding

Published Jan 8, 2010• 23 citations

Abstract

By using the multiple-scale method, we study analytically the formation and stability of two-component spatial optical solitons in a cold, lifetime-broadened resonant four-level double-Λ type atomic system via electromagnetically induced transparency. It is shown that stable two-component (1+1) dimension spatial optical solitons with extremely weak light intensity can occur, which is different from the passive ones with photorefractive and planar waveguides. Furthermore, the interaction characteristics between two solitons are studied by numerical simulations. We find that the collisional dynamics and the energy transfer of the two solitons are closely correlated with their relative phase shift. Our results may provide a good idea to obtain useful spatial optical solitons for application in optical soliton communications.

DOI: 10.1364/josab.27.000208

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By using the multiple-scale method, we study analytically the formation and stability of two-component spatial optical solitons in a cold, lifetime-broadened resonant four-level double-Λ type atomic system via electromagnetically induced transparency. It is shown that stable two-component (1+1) dimension spatial optical solitons with extremely weak light intensity can occur, which is different from the passive ones with photorefractive and planar waveguides. Furthermore, the interaction characteristics between two solitons are studied by numerical simulations. We find that the collisional dynamics and the energy transfer of the two solitons are closely correlated with their relative phase shift. Our results may provide a good idea to obtain useful spatial optical solitons for application in optical soliton communications.

We study the formation of a nonlinear localized high-dimensional optical beam in a lifetime-broadened three-state atomic system. We show that stable high-dimensional spatial optical solitons with extremely weak-light intensity can occur in such a highly resonant medium through a mechanism of electromagnetically induced transparency. We demonstrate that the interaction between two high-dimensional spatial optical solitons displays interesting properties and these solitons can be easily controlled by manipulating the coupling optical field of the system.

We investigate the simultaneous formation and propagation of coupled ultraslow optical soliton pairs in a cold, lifetime-broadened three-state double-Lambda atomic system. Starting from the equations of motion of atomic response and two-mode probe-control electromagnetic fields, we derive coupled nonlinear Schrödinger equations that govern the nonlinear evolution of the envelopes of the probe fields in this four-wave mixing scheme by means of the standard method of multiple scales. We demonstrate that for weak probe fields and with suitable operation conditions, a pair of coupled optical solitons moving with remarkably slow propagating velocity can be established in such a highly resonant atomic medium. The key elements to such a shape preserving, well matched yet interacting soliton pair is the balance between dispersion effect and self- and cross-phase modulation effects of the system.

By using semiclassical theory combined with multiple-scale method, we analytically study the linear absorption and the nonlinear dynamical properties in a lifetime broadened Λ-type three-level self-assembled quantum dots. It is found that this system can exhibit the transparency, and the width of the transparency window becomes wider with the increase of control light field. Interestingly, a weak probe light beam can form spatial weak-light dark solitons. When it propagates along the axial direction, the soliton will transform into a steady spatial weak-light ring dark soltion. In addition, the stability of two-dimensional spatial optical solitons is testified numerically.

We investigate the simultaneous formation and stable propagation of ultraslow optical soliton pairs in a lifetime broadened four-state atomic system under double-Lambda excitation with large one- and two-photon detunings. We show that detrimental probe field distortions due to strong dispersion effects under weak driving conditions can be well balanced by self- and cross-phase modulation effects, leading to a pair of temporal, group velocity, and amplitude matched ultraslow optical solitons of different frequencies.

We propose a scheme to realize storage and retrieval of two-component optical soliton in a coherent atomic system. The system under consideration is a cold, lifetime-broadened four-level atomic gas with a tripod configuration working at the condition of double electromagnetically induced transparency. We show that due to the existence of two dark states, the optical absorption of the probe pulse can be largely reduced. In addition, the two orthogonal polarization components of the probe pulse with a form of vector optical soliton cannot only be slowed down substantially but also be stored and retrieved robustly by switching a control laser field off and on. We also show that it is possible to achieve a memory of

N

-component optical soliton by using the

N

dark states in a

(N+1)

-pod system

(N>2)

. The results reported here may have promise in applications for light information processing in a weak nonlinear regime.

We show that a weak probe light beam can form spatial solitons in an electromagnetically induced transparency (EIT) medium composed of four-level atoms and a coupling light field. We find that the coupling light beam can induce a highly controllable nonlinear waveguide and exert very strong effects on the dynamical behavior of the solitons. Hence, in the EIT medium, it is not only possible to produce spatial solitons at very low light intensities but also simultaneously control these solitons by using the coupling-light-induced nonlinear waveguide.