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By constructing the general six-parameter bright two-soliton solution of the integrable coupled nonlinear Schrodinger equation (Manakov model) using the Hirota method, we find that the solitons exhibit certain novel inelastic collision…

solv-int · Physics 2009-10-30 R. Radhakrishnan , M. Lakshmanan , J. Hietarinta

We theoretically investigate the transmission dynamics of coherent matter wave pulses across finite optical lattices in both the linear and the nonlinear regimes. The shape and the intensity of the transmitted pulse are found to strongly…

Soft Condensed Matter · Physics 2009-11-07 Iacopo Carusotto , Davide Embriaco , Giuseppe C. La Rocca

In this work we present a systematic theoretical analysis regarding dark-bright solitons and their interactions, motivated by recent advances in atomic two-component repulsively interacting Bose-Einstein condensates. In particular, we study…

Quantum Gases · Physics 2017-01-25 G. C. Katsimiga , J. Stockhofe , P. G. Kevrekidis , P. Schmelcher

We investigate collisional shifts of spectral lines involving excited hydrogenic states, where van der Waals coefficients have recently been shown to have large numerical values when expressed in atomic units. Particular emphasis is laid on…

Atomic Physics · Physics 2019-05-01 A. Matveev , N. Kolachevsky , C. M. Adhikari , U. D. Jentschura

Recent clock experiments have measured density-dependent frequency shifts in polarized fermionic alkaline-earth atoms using 1S0-3P0 Rabi spectroscopy. Here we provide a first-principles non-equilibrium theoretical description of the…

Atomic Physics · Physics 2010-01-13 A. M. Rey , A. V. Gorshkov , C. Rubbo

We show that harmonic frequency mixing in quantum dots coupled to two leads under the influence of time-dependent voltages of different frequency is dominated by interaction effects. This offers a unique and direct spectroscopic tool to…

Mesoscale and Nanoscale Physics · Physics 2008-08-12 M. Thorwart , R. Egger , A. O. Gogolin

In this work, we show that collisions of one type of nonlinear wave can lead to generation of a different kind of nonlinear wave. Specifically, we demonstrate the formation of topological solitons (or transition waves) via collisions of…

Applied Physics · Physics 2023-08-16 Hiromi Yasuda , Hang Shu , Weijian Jiao , Vincent Tournat , Jordan R. Raney

We comprehensively study the effects of bubble wall thickness and speed on the gravitational wave emission spectrum of collisions of two vacuum bubbles. We numerically simulate a large dynamical range, making use of symmetry to reduce the…

Cosmology and Nongalactic Astrophysics · Physics 2021-11-16 Oliver Gould , Satumaaria Sukuvaara , David Weir

It has been observed experimentally [H.R. Xia, C.Y. Ye, and S.Y. Zhu, Phys. Rev. Lett. {\bf 77}, 1032 (1996)] that quantum interference between two molecular transitions can lead to a suppression or enhancement of spontaneous emission. This…

Quantum Physics · Physics 2009-10-31 Jin Wang , H. M. Wiseman , Z. Ficek

In this Letter we further develop the proposed approach of optical manipulation based on the interactions of non-linear optical effects with nanoparticles. The interaction of the dissipative optical solitons with nanoparticles is studied…

Optics · Physics 2020-04-22 D. A. Dolinina , A. S. Shalin , A. V. Yulin

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

The existence and dynamics of solitons in quasi-one-dimensional Bose-Einstein condensates (BEC) with spin-orbit coupling (SOC) and attractive two-body interactions are described for two coupled atomic pseudo-spin components with slowly and…

Quantum Gases · Physics 2018-05-29 Fatkhulla Kh. Abdullaev , Marijana Brtka , Arnaldo Gammal , Lauro Tomio

Dipole-dipole interactions lead to frequency shifts that are expected to limit the performance of next-generation atomic clocks. In this work, we compute dipolar frequency shifts accounting for the intrinsic atomic multilevel structure in…

Quantum Gases · Physics 2021-07-07 A. Cidrim , A. Piñeiro Orioli , C. Sanner , R. B. Hutson , J. Ye , R. Bachelard , A. M. Rey

We propose the use of bright matter-wave solitons formed from Bose-Einstein condensates with attractive interactions to probe and study quantum reflection from a solid surface at normal incidence. We demonstrate that the presence of…

Quantum Physics · Physics 2010-10-29 S. L. Cornish , N. G. Parker , A. M. Martin , T. E. Judd , R. G. Scott , T. M. Fromhold , C. S. Adams

This work is inspired by recent experimental observations in ultracold atomic Bose-Fermi mixtures [DeSalvo et al., Nature 568 (2019)]. These experiments reveal the emergence of an attractive fermion-mediated interaction between bosons, as…

Mathematical Physics · Physics 2025-12-05 Esteban Cárdenas , Joseph K. Miller , David Mitrouskas , Nataša Pavlović

Wecritically review the recent progress in understanding soliton propagation in birefringent optical fibers.By constructing the most general bright two-soliton solution of the integrable coupled nonlinear Schroedinger equation (Manakov…

Exactly Solvable and Integrable Systems · Physics 2019-08-17 M. Lakshmanan , T. Kanna , R. Radhakrishnan

The existence, stability, and dynamics of bound pairs of symbiotic matter waves in the form of dark-bright soliton pairs in two-component mixtures of atomic Bose-Einstein condensates is investigated. Motivated by the tunability of the…

Quantum Gases · Physics 2017-03-16 G. C. Katsimiga , J. Stockhofe , P. G. Kevrekidis , P. Schmelcher

We investigate the influence of thermally activated internal molecular dynamics on the phase shifts of matter waves inside a molecule interferometer. While de Broglie physics generally describes only the center-of-mass motion of a quantum…

We use a time-dependent dynamical mean-field-hydrodynamic model to predict and study bright solitons in a degenerate fermion-fermion mixture in a quasi-one-dimensional cigar-shaped geometry using variational and numerical methods. Due to a…

Other Condensed Matter · Physics 2009-11-13 Sadhan K. Adhikari

We derive the equations governing the motion of Kerr solitons in pair waveforms. Recent experiments in microresonators have studied a variety of interaction effects in multisoliton waveforms, including collisions and formation of soliton…

Pattern Formation and Solitons · Physics 2025-07-11 Amir Leshem , Sanzida Akter , Logan Courtright , Pradyoth Shandilya , Curtis R. Menyuk , Omri Gat
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