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Generation of dark solitons from large initial excitations and their evolution in a quasi-one-dimensional Bose-Einstein condensate trapped by a harmonic potential is studied analytically and numerically. In the case of a single deep soliton…

Soft Condensed Matter · Physics 2007-05-23 V. A. Brazhnyi , A. M. Kamchatnov , V. V. Konotop

The nonlinear coupling between the light beams and non-resonant ion density perturbations in a plasma is considered, taking into account the relativistic particle mass increase and the light beam ponderomotive force. A pair of equations…

Pattern Formation and Solitons · Physics 2009-11-07 P. K. Shukla , R. Fedele , M. Onorato , N. L. Tsintsadze

Dissipative solitons are fundamental wave-pulses that preserve their form in the presence of periodic loss and gain. The canonical realization of dissipative solitons is Kerr-lens mode locking in lasers, which delicately balance nonlinear…

Optics · Physics 2022-08-29 Idan Parshani , Leon Bello , Mallachi-Elia Meller , Avi Pe'er

Dark solitons have been observed in optical systems (optical fibres, dielectric guides and bulk media), and, more recently, in harmonically confined atomic Bose-Einstein condensates. This paper presents an overview of some of the common…

Other Condensed Matter · Physics 2009-11-10 N. P. Proukakis , N. G. Parker , D. J. Frantzeskakis , C. S. Adams

Quantum liquid-like states of matter have been realized in an ongoing series of experiments with ultracold Bose gases. Using a combination of analytical and numerical methods we identify the specific criteria for the existence of dark…

Quantum Gases · Physics 2023-06-23 Matthew Edmonds

Bright and dark solitons of the cubic nonlinear Schrodinger equation are used to construct complex-valued potentials with all-real spectrum. The real part of these potentials is equal to the intensity of a bright soliton while their…

Pattern Formation and Solitons · Physics 2023-04-13 Oscar Rosas-Ortiz , Sara Cruz y Cruz

We study a two-component nonlinear Schr{\"{o}}dinger system with equal, repulsive cubic interactions and different dispersion coefficients in the two components. We consider states that have a dark solitary wave in one component. Treating…

Pattern Formation and Solitons · Physics 2015-01-28 E. G. Charalampidis , P. G. Kevrekidis , D. J. Frantzeskakis , B. A. Malomed

We construct dark solitons in the recently introduced model of the nonlinear dual-core coupler with the mutually balanced gain and loss applied to the two cores, which is a realization of parity-time symmetry in nonlinear optics. The main…

Optics · Physics 2013-03-18 Yuliy V. Bludov , Vladimir V. Konotop , Boris A. Malomed

We study numerically and experimentally supercontinuum generation in optical fibers with dark and bright solitons simultaneously contributing into the spectral broadening and dispersive wave generation. We report a novel type of weak…

We consider the interplay of repulsive short-range and same-sign long-range interactions in the dynamics of dark solitons, as prototypical coherent nonlinear excitations in a trapped 1D Bose gas. First, the form of the ground state is…

Pattern Formation and Solitons · Physics 2022-03-02 M. Beau , A. del Campo , D. J. Frantzeskakis , T. P. Horikis , P. G. Kevrekidis

It is demonstrated that stable, standing dark solitons can be created in current dilute-gas Bose-Einstein condensate experiments by the proper combination of phase and density engineering. Other combinations result in a widely controllable…

Condensed Matter · Physics 2009-10-31 L. D. Carr , J. Brand , S. Burger , A. Sanpera

We investigate the steady states of a lossy array of nonlinear optical resonators that are driven by lasers and interact via mutual photon tunneling. For weak nonlinearities, we find two-mode squeezing of polaritons in modes whose…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 Michael J. Hartmann

We report on the dark pulse emission of an all-normal dispersion erbium-doped fiber laser with a polarizer in cavity. We found experimentally that apart from the bright pulse emission, under appropriate conditions the fiber laser could also…

Optics · Physics 2009-11-02 H. Zhang , D. Y. Tang , L. M. Zhao , X. Wu

Quasiparticle approach to dynamics of dark solitons is applied to the case of ring solitons. It is shown that the energy conservation law provides the effective equations of motion of ring dark solitons for general form of the nonlinear…

Pattern Formation and Solitons · Physics 2010-10-05 A. M. Kamchatnov , S. V. Korneev

We demonstrate a possibility to generate localized states in effectively one-dimensional Bose-Einstein condensates with a negative scattering length in the form of a dark soliton in the presence of an optical lattice (OL) and/or a parabolic…

Soft Condensed Matter · Physics 2009-11-10 P. G. Kevrekidis , D. J. Frantzeskakis , Boris A. Malomed , A. R. Bishop , I. G. Kevrekidis

We present three types of dark solitons in quasi-one-dimensional spin-orbit coupled repulsive Bose-Einstein condensates. Among these families, two are always stable, while the third one is only stable sufficiently close to the linear…

Quantum Gases · Physics 2013-08-06 V. Achilleos , J. Stockhofe , P. G. Kevrekidis , D. J. Frantzeskakis , P. Schmelcher

Motivated by the experimental development of quasi-homogeneous Bose-Einstein condensates confined in box-like traps, we study numerically the dynamics of dark solitons in such traps at zero temperature. We consider the cases where the side…

Quantum Gases · Physics 2017-02-01 M. Sciacca , C. F. Barenghi , N. G. Parker

Motivated by the recent theoretical study of (bright) soliton diode effects in systems with multiple scatterers, as well as by experimental investigations of soliton-impurity interactions, we consider some prototypical case examples of…

Pattern Formation and Solitons · Physics 2017-08-23 F. Tsitoura , Z. A. Anastassi , J. L. Marzuola , P. G. Kevrekidis , D. J. Frantzeskakis

The basic features of nucleus-acoustic (NA) envelope bright and dark solitons, which exist in degenerate quantum plasmas, have been theoretically investigated by deriving the nonlinear Schr\"odinger (NLS) equation. The reductive…

Plasma Physics · Physics 2017-06-20 N. A. Chowdhury , M. M. Hasan , A. Mannan , A. A. Mamun

Formation of multi-solitons and vortex bright solitons in Bose-condensed alkali-metal atoms is analyzed by using the nonpolynomial Schordinger equation. A train of bright solitons is obtained from an axially homogeneous Bose-Einstein…

Soft Condensed Matter · Physics 2007-05-23 Luca Salasnich