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The Nonlinear Schr\"odinger (NLS) equation is widely used in everywhere of natural science. Various nonlinear excitations of the NLS equation have been found by many methods. However, except for the soliton-soliton interactions, it is very…

Exactly Solvable and Integrable Systems · Physics 2013-07-16 S. Y. Lou , Xue-Ping Cheng , Xiao-Yan Tang

Exploration of the impact of synthetic material landscapes featuring tunable geometrical properties on physical processes is a research direction that is currently of great interest because of the outstanding phenomena that are continually…

The nonlinear photon-photon interaction mediated by a single two-level atom is studied theoretically based on a one-dimensional model of the field-atom interaction. This model allows us to determine the effects of an atomic nonlinearity on…

Quantum Physics · Physics 2009-11-10 Kunihiro Kojima , Holger F. Hofmann , Shigeki Takeuchi , Keiji Sasaki

The efficient simulation of quantum systems is a primary motivating factor for developing controllable quantum machines. For addressing systems with underlying bosonic structure, it is advantageous to utilize a naturally bosonic platform.…

The frequency and orbital angular momentum (OAM) are independent physical properties of light that both offer unbounded degrees of freedom. However, creating, processing, and detecting high-dimensional OAM states have been a pivot and…

Two-photon absorption is theoretically analyzed within the semiclassical formalism of radiation-matter interaction. We consider an ensemble of inhomogeneously broadened three-level atoms subjected to the action of two counterpropagating…

Quantum Physics · Physics 2007-05-23 I. Perez-Arjona , G. J. de Valcarcel , Eugenio Roldan

Solitons, the distinct balance between nonlinearity and dispersion, provide a route toward ultrafast electromagnetic pulse shaping, high-harmonic generation, real-time image processing, and RF photonic communications. Here we newly explore…

Pattern Formation and Solitons · Physics 2024-07-16 Futai Hu , Abhinav Kumar Vinod , Wenting Wang , Hsiao-Hsuan Chin , James F. McMillan , Ziyu Zhan , Yuan Meng , Mali Gong , Chee Wei Wong

For the first time a method for realizing macroscopic quantum optical solitons is presented. Simultaneous photon-number and momentum squeezing is predicted using soliton propagation in an interferometer. Extraction of soliton pulses closer…

Quantum Physics · Physics 2009-10-31 M. J. Werner

A scheme is proposed, that allows one for performing homodyne detection of the matter-wave field of ultracold bosonic atoms. It is based on a pump-probe lasers setup, that both illuminates a Bose-Einstein condensate, acting as reference…

Quantum Physics · Physics 2011-11-29 Stefan Rist , Giovanna Morigi

We report families of discrete optical solitons in frequency space, or spectral-discrete solitons existing in a dispersive Raman medium, where individual side-bands are coupled by coherence. The associated time-domain patterns correspond to…

Pattern Formation and Solitons · Physics 2009-11-11 A. V. Gorbach , D. V. Skryabin

We report that defocusing cubic media with spatially inhomogeneous nonlinearity, whose strength increases rapidly enough toward the periphery, can support stable bright localized modes. Such nonlinearity landscapes give rise to a variety of…

Nonlinear optical microscopy allows rapid high-resolution microscopy with image contrast generated from intrinsic properties of the sample. Established modalities such as multiphoton excited fluorescence and second/third-harmonic generation…

The generation of high-intensity optical fields from harmonic-wave photons, interacting via a cross-phase modulation with dark solitons both propagating in a Kerr nonlinear medium, is examined. The focus is on a pump consisting of…

Pattern Formation and Solitons · Physics 2021-07-08 E. Chenui Aban , Alain M. Dikande

A self-homodyne detection scheme is proposed to perform two-mode tomography on a twin-beam state at the output of a nondegenerate optical parametric amplifier. This scheme has been devised to improve the matching between the local…

Quantum Physics · Physics 2009-10-31 Giacomo M. D'Ariano , Michael Vasilyev , Prem Kumar

A model of the optical media with a spatially structured Kerr nonlinearity is introduced. The nonlinearity strength is modulated by a set of singular peaks on top of a self-focusing or defocusing uniform background. The peaks may include a…

Optics · Physics 2017-06-28 Vitaly Lutsky , Boris A. Malomed

We introduce the two-dimensional Gross-Pitaevskii/nonlinear-Schrodinger (GP/NLS) equation with the self-focusing nonlinearity confined to two identical circles, separated or overlapped. The model can be realized in terms of Bose-Einstein…

Pattern Formation and Solitons · Physics 2015-05-28 Thawatchai Mayteevarunyoo , Boris A. Malomed , Athikom Reoksabutr

We study two-dimensional soliton-soliton vector pairs in media with self-focusing nonlinearities and defocing cross-interactions. The general properties of the stationary states and their stability are investigated. The different scenarios…

Pattern Formation and Solitons · Physics 2015-05-18 A. I. Yakimenko , O. O. Prikhodko , S. I. Vilchynskyi

Focusing on the transient regime, we explore atomic two-photon spectroscopy with self-aligned homodyne interferometry in a $\Lambda$-system with large optical depth. The two light sources at the origin of the interference are the…

Quantum Physics · Physics 2022-01-21 Chetan Sriram Madasu , Chang Chi Kwong , David Wilkowski , Kanhaiya Pandey

New functionalities in nonlinear optics will require systems with giant optical nonlinearity as well as compatibility with photonic circuit fabrication techniques. Here we introduce a new platform based on strong light-matter coupling…

Pattern Formation and Solitons · Physics 2014-09-03 L. Tinkler , P. M. Walker , D. V. Skryabin , A. Yulin , B. Royall , I. Farrer , D. A. Ritchie , D. N. Krizhanovskii , M. S. Skolnick

The concepts of topology provide a powerful tool to tailor the propagation and localization of light. While electromagnetic waves have only two polarization states, engineered degeneracies of photonic modes provide novel opportunities…

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