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arXiv:quant-ph/0402167 · Physical Review A

Solitons formed by dark-state polaritons in an electromagnetic induced transparency

Xiong-Jun Liu, Hui Jing, Mo‐Lin Ge

Published Nov 23, 2004• 45 citations
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Abstract

We show the possible stable soliton generation for the dark-state polaritons in an electromagnetically induced transparency medium composed of $\ensuremath{\Lambda}$-type atoms. Whether the solitons are dark or bright can be controlled by the coupling field intensity and the one-photon detuning of the probe field. The velocity, spatial, and time widths of the solitons can also be adjusted by the coupling light.

DOI
10.1103/physreva.70.055802

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We show the possible stable soliton generation for the dark-state polaritons in an electromagnetically induced transparency medium composed of \ensuremathΛ\ensuremath{\Lambda}\ensuremathΛ-type atoms. Whether the solitons are dark or bright can be controlled by the coupling field intensity and the one-photon detuning of the probe field. The velocity, spatial, and time widths of the solitons can also be adjusted by the coupling light.
We identify form-stable coupled excitations of light and matter ("dark-state polaritons") associated with the propagation of quantum fields in electromagnetically induced transparency. The properties of dark-state polaritons such as the group velocity are determined by the mixing angle between light and matter components and can be controlled by an external coherent field as the pulse propagates. In particular, light pulses can be decelerated and "trapped" in which case their shape and quantum state are mapped onto metastable collective states of matter. Possible applications of this reversible coherent-control technique are discussed.
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.
We study the influence of a lossless material medium on the coherent storage and quantum-state transfer of a quantized probe light in an ensemble of $\ensuremath{\Lambda}$-type atoms. The medium is modeled as uniformly distributed two-level atoms with the same energy level spacing, coupling to a probe light. This coupled system can be simplified to a collection of two-mode polaritons which couple to one transition of the $\ensuremath{\Lambda}$-type atoms. We show that, when the other transition of $\ensuremath{\Lambda}$-type atoms is controlled by a classical light, electromagnetically induced transparency can also occur for the polaritons. In this case the coherent storage and quantum transfer for photon states are achievable through novel dark states with respect to the polaritons. By calculating the corresponding dispersion relation, we find that the ensemble of three-level atoms with $\ensuremath{\Lambda}$-type transitions may serve as quantum memory for it slows or even stops light propagation through the mechanism of electromagnetically induced transparency.
We proposed a simple model for generation of controllable ultraslow optical solitons of a weak probe laser light in a degenerated two-level atomic medium under electromagnetically induced transparency assisted by a magnetic field. It is shown that bright and dark optical solitons can be formed from a probe light with controllable ultraslow group velocities at a few m/s by tuning the strength of a coupling light and/or the magnetic field. In addition to the ultraslow velocity, the advantage of this model is to use a sole laser for delivering both pump and probe lights. Furthermore, one can switch between bright and dark solitons by reversing the direction of the magnetic field. Such controllable ultraslow solitons are interested in finding applications in optical communications and optical data processing.
In this Letter we discuss the possibility of producing Bragg solitons in an electromagnetically induced transparency medium. We show that this coherent medium can be engineered to be a Bragg grating with a large Kerr nonlinearity through proper arrangements of light fields. Unlike in previous studies, the parameters of the medium can be easily controlled through adjusting the intensities and detunings of lasers. Thus this scheme may provide an opportunity to study the dynamics of Bragg solitons. And doing experiments with low power lights is possible.