Nonlinear theory of slow light.
Andrei Rybin,Jussi Timonen +1 more
TLDR
In this article, a nonlinear interplay between fast and slow-light solitons in a Λ-type medium was shown to facilitate control of its optical transparency and formation of optical gates.Abstract:
In the framework of the nonlinear Λ model, propagation of solitons was analysed in atomic vapours and Bose–Einstein condensates. The complicated nonlinear interplay between fast and slow-light solitons in a Λ -type medium was shown to facilitate control of its optical transparency and formation of optical gates. An exact analytical description was given for the deceleration, stopping and revival of slow-light solitons in the experimentally relevant non-adiabatic regime. A stopping slow-light soliton imprints a localized immobile polarization pattern in the medium, which, as explicitly demonstrated here, can be used as a bit of readable optical memory. The whole process can be controlled with the background field and an auxiliary laser field. The latter regulates the signal velocity, while the slow-light soliton can be stopped by switching off the former. The location and shape of the imprinted memory bit were also determined. With few assumptions characteristic of slow light, the Λ model was reduced to a simpler nonlinear model that also describes two-dimensional dilatonic gravity. Exact solutions could now be derived also in the presence of relaxation. Spontaneous decay of the upper atomic level was found to be strongly suppressed, and the spatial form of the decelerating slow-light soliton was preserved, even if the optical relaxation time was much shorter than the typical time scale of the soliton. The effective relaxation coefficient of the slow-light soliton was significantly smaller than that of an arbitrary optical pulse. Such features are obviously of great importance when this kind of system is applied, in practice, to information processing. A number of experimentally observable properties of the solutions reported were found to be in good agreement with recent experimental results, and a few suggestions are also made for future experiments.read more
Citations
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Journal ArticleDOI
Slow light generation using microring resonators for optical buffer application
TL;DR: In this article, the authors proposed a novel design of optical buffer to generate slowlight-based delay-delay-delay (SLDT) based on a signalflow graph method.
Book
Integrated Micro-Ring Photonics: Principles and Applications as Slow Light Devices, Soliton Generation and Optical Transmission
TL;DR: In this paper, the authors proposed a secure communication protocol based on micro-ring resonators (MRRs) for optical communication applications, where the message can be kept encrypted via quantum cryptography.
References
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Light speed reduction to 17 metres per second in an ultracold atomic gas
Lene Vestergaard Hau,Lene Vestergaard Hau,Stephen E. Harris,Zachary Dutton,Zachary Dutton,Cyrus H. Behroozi,Cyrus H. Behroozi +6 more
TL;DR: In this paper, an experimental demonstration of electromagnetically induced transparency in an ultracold gas of sodium atoms, in which the optical pulses propagate at twenty million times slower than the speed of light in a vacuum, is presented.
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Electromagnetically Induced Transparency
TL;DR: Electromagnetic induced transparency is a technique for eliminating the effect of a medium on a propagating beam of electromagnetic radiation EIT may also be used, but under more limited conditions, to eliminate optical self-focusing and defocusing and to improve the transmission of laser beams through inhomogeneous refracting gases and metal vapors, as figure 1 illustrates.
Book
Darboux transformations and solitons
V. B. Matveev,Mikhail A. Salle +1 more
TL;DR: In this paper, the authors developed a systematic algebraic approach to solve linear and non-linear partial differential equations arising in soliton theory, such as the non-stationary linear Schrodinger equation, Korteweg-de Vries and Kadomtsev-Petviashvili equations, the Davey Stewartson system, Sine-Gordon and nonlinearSchrodinger equations 1+1 and 2+1 Toda lattice equations, and many others.
Book
Hamiltonian methods in the theory of solitons
L. D. Faddeev,Leon A. Takhtajan +1 more
TL;DR: The Nonlinear Schrodinger Equation (NS Model) and Zero Curvature Representation (ZCR) as discussed by the authors have been used for the classification and analysis of Integrable Evolution Equations.
Journal ArticleDOI
Observation of coherent optical information storage in an atomic medium using halted light pulses
Chien Liu,Zachary Dutton,Zachary Dutton,Cyrus H. Behroozi,Lene Vestergaard Hau,Lene Vestergaard Hau +5 more
TL;DR: A theoretical model is presented that reveals that the system is self-adjusting to minimize dissipative loss during the ‘read’ and ‘write’ operations, anticipating applications of this phenomenon for quantum information processing.
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