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The emergence of confined structures and pattern formation are exceptional manifestations of concurring nonlinear interactions found in a variety of physical, chemical and biological systems[1]. Optical solitons are a hallmark of extreme…

Optics · Physics 2020-01-29 Felix Kurtz , Claus Ropers , Georg Herink

Light scattering by a periodic atomic array is studied when the atoms couple with the mode of a high-finesse optical resonator and are driven by a laser. When the von-Laue condition is not satified, there is no coherent emission into the…

Quantum Physics · Physics 2011-09-19 Hessam Habibian , Stefano Zippilli , Giovanna Morigi

The properties of optical solitons in periodic nonlinear media are reviewed. The emphasis is on solitons in periodically refractive media (Bragg gratings) incorporating a periodic set of thin layers of two-level systems resonantly…

Pattern Formation and Solitons · Physics 2007-05-23 G. Kurizki , A. E. Kozhekin , T. Opatrny , B. Malomed

We study linear and nonlinear wave scattering by an optical vortex in a self-defocusing nonlinear Kerr medium. In the linear case, we find a splitting of a plane-wave front at the vortex proportional to its circulation, similar to what…

Pattern Formation and Solitons · Physics 2009-11-07 Dragomir Neshev , Alexander Nepomnyashchy , Yuri S. Kivshar

We analyze the nonlinear optical response of a five-level system under a novel configuration of electro-magnetically induced transparency. We show that a giant Kerr nonlinearity with a relatively large cross-phase modulation coefficient…

Quantum Physics · Physics 2009-11-11 Yun Li , Chao Hang , Lei Ma , Guoxiang Huang

Spontaneous pattern formation from a uniform state is a widely studied nonlinear optical phenomenon that shares similarities with non-equilibrium pattern formation in other scientific domains. Here we show how a single layer of atoms in an…

Optics · Physics 2023-12-22 C. D. Parmee , J. Ruostekoski

Optical non-linearities usually appear for large intensities, but discrete transitions allow for giant non-linearities operating at the single photon level. This has been demonstrated in the last decade for a single optical mode with cold…

We directly measure the nonlinear optical response in argon and nitrogen in a thin gas target to laser intensities near the ionization threshold. No instantaneous negative nonlinear refractive index is observed, nor is saturation, in…

Optics · Physics 2015-05-28 J. K. Wahlstrand , Y. -H. Cheng , Y. -H. Chen , H. M. Milchberg

Recent progress in effective nonlinearity, achieved by exploiting multiple scatterings within the linear optical regime, has been demonstrated to be a promising approach to enable nonlinear optical processing without relying on actual…

We compute from first principles the infrared dispersion of the nonlinear susceptibility $\chi^{(2)}$ in zincblende semiconductors. At terahertz frequencies the nonlinear susceptibility depends not only on the purely electronic response…

Materials Science · Physics 2009-12-17 Eric Roman , Jonathan R. Yates , Marek Veithen , David Vanderbilt , Ivo Souza

We demonstrate suppression and enhancement of spontaneous parametric down- conversion via quantum interference with two weak fields from a local oscillator (LO). Pairs of LO photons are observed to upconvert with high efficiency for…

Quantum Physics · Physics 2009-11-07 K. J. Resch , J. S. Lundeen , A. M. Steinberg

We present a microscopic analysis and evaluation of the dielectric susceptibility of a dielectric medium consisting of vector-type two-energy-level atoms responding on a weak probe mode when the atoms are driven by a strong coherent field.…

Quantum Physics · Physics 2026-01-06 A. S. Usoltsev , L. V. Gerasimov , A. D. Manukhova , S. P. Kulik , D. V. Kupriyanov

Optical nonreciprocity is important in photonic information processing to route the optical signal or prevent the reverse flow of noise. By adopting the strong nonlinearity associated with a few atoms in a strongly coupled cavity QED system…

Some recent results concerning nonlinear optics in semiconductor microcavities are reviewed from the point of view of the many-body physics of an interacting photon gas. Analogies with systems of cold atoms at thermal equilibrium are drawn,…

Statistical Mechanics · Physics 2009-11-11 Iacopo Carusotto , Michiel Wouters , Cristiano Ciuti

By mapping the strong interaction between Rydberg excitations in ultra-cold atomic ensembles onto single photons via electromagnetically induced transparency, it is now possible to realize a nonlinear optical medium which exhibits a strong…

Quantum Physics · Physics 2016-07-08 Ofer Firstenberg , Charles S. Adams , Sebastian Hofferberth

Nonlinear optics has been a very dynamic field of research with spectacular phenomena discovered mainly after the invention of lasers. The combination of high intensity fields with resonant systems has further enhanced the nonlinearity with…

Quantum Physics · Physics 2023-05-24 Quentin Glorieux , Tangui Aladjidi , Paul D Lett , Robin Kaiser

We demonstrate an important role of the process of optical rectification in the theory of nonlinear wave propagation in quadratically nonlinear [or $\chi^{(2)}$ ] periodic optical media. We derive a novel physical model for gap solitons in…

patt-sol · Physics 2009-10-31 Takeshi Iizuka , Yuri Kivshar

The squeezing in a nonlinear system with chaotic dynamics is considered. The model describing interaction of collection of two-level atoms with a single-mode of self-consistent field and an external field is analyzed. It is shown that in…

Quantum Physics · Physics 2009-10-31 Kirill N. Alekseev

The experimental demonstration of Bose-Einstein condensation in atomic vapors has rapidly lead to new advances in atom optics. It is now well established that two-body collisions play for matter waves a role analogous to that of a Kerr…

Condensed Matter · Physics 2007-05-23 S. Potting , P. Meystre , E. M. Wright

We describe propagation of light in a gas with periodic density modulation, demonstrating photonic-crystal-like refraction with negative refraction angles. We address the role of poorly defined boundaries and damping, and derive an optical…

Optics · Physics 2015-03-11 Marina Litinskaya , Evgeny A. Shapiro
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