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We analytically study plasma solitary waves, or solitons, in a two-dimensional (2D) electron system (ES) placed in close proximity to and between two ideal metallic gates. As a rule, solitons are described using a perturbative approach…

Mesoscale and Nanoscale Physics · Physics 2022-05-20 A. A. Zabolotnykh

We study soliton dynamics in a system of two linearly coupled discrete nonlinear Schr\"odinger equations, which describe the dynamics of a two-component Bose gas, coupled by an electromagnetic field, and confined in a strong optical…

Pattern Formation and Solitons · Physics 2009-04-20 A. Trombettoni , H. E. Nistazakis , Z. Rapti , D. J. Frantzeskakis , P. G. Kevrekidis

We investigate formation of Bose-Einstein condensates under non-equilibrium conditions using numerical simulations of the three-dimensional Gross-Pitaevskii equation. For this, we set initial random weakly nonlinear excitations and the…

Quantum Gases · Physics 2022-03-23 Vishwanath Shukla , Sergey Nazarenko

Following the experimental observation of bright matter-wave solitons [L. Khaykovich et al., Science v. 296, 1290 (2002); K. E. Strecker et al., Nature (London) v. 417, 150 (2002)], we develop a semi-phenomenological theory for soliton…

Soft Condensed Matter · Physics 2016-08-16 Vanja Dunjko , Christopher P. Herzog , Yvan Castin , Maxim Olshanii

Solitons are nonlinear solitary waves which maintain their shape over time and through collisions, occurring in a variety of nonlinear media from plasmas to optics. We present an experimental and theoretical study of hydrodynamic phenomena…

Soliton gas or soliton turbulence is a subject of intense studies due to its great importance to optics, hydrodynamics, electricity, chemistry, biology and plasma physics. Usually, this term is used for integrable models where solitons…

Fluid Dynamics · Physics 2023-10-10 Marcelo V. Flamarion , Efim Pelinovsky , Ekaterina Didenkulova

Using the method of locally equilibrium statistical operator we consider the thermalized relativistic quantum fields in an oscillatory trap. We compare this thermal picture of the confined boson gas with non-relativistic model of…

Nuclear Theory · Physics 2007-05-23 Yu. M. Sinyukov , S. V. Akkelin , R. Lednicky

Soliton hydrodynamics is an appealing tool to describe strong turbulence in low-dimensional systems. Strong turbulence in quasi-one dimensional spuerfluids, such as Bose-Einstein condensates, involves the dynamics of dark solitons and,…

Quantum Gases · Physics 2020-11-24 C. Pereira , J. D. Rodrigues , J. T. Mendonça , H. Terças

We explore the dynamics of a tuneable box-trapped Bose gas under strong periodic forcing in the presence of weak disorder. In absence of interparticle interactions, the interplay of the drive and disorder results in an isotropic nonthermal…

We study the emergence of universal scaling in the time-evolving momentum distribution of a harmonically trapped three-dimensional Bose-Einstein condensate, parametrically driven to a turbulent state. We demonstrate that the…

In recent years, bright soliton-like structures composed of gaseous Bose-Einstein condensates have been generated at ultracold temperature. The experimental capacity to precisely engineer the nonlinearity and potential landscape experienced…

Quantum Gases · Physics 2013-05-29 T. P. Billam , A. L. Marchant , S. L. Cornish , S. A. Gardiner , N. G. Parker

We investigate the dynamic structure factor of a system of Bose particles at zero temperature using quantum Monte Carlo methods. Interactions are modeled using a hard-sphere potential of size $a$ and simulations are performed for values of…

Quantum Gases · Physics 2015-06-17 Riccardo Rota , Filippo Tramonto , Davide Emilio Galli , Stefano Giorgini

Contrary to many other translationally invariant one-dimensional models, the low-temperature phase for an attractively interacting one-dimensional Bose-gas (a quantum bright soliton) is stable against thermal fluctuations. However, treating…

Quantum Gases · Physics 2016-10-31 Christoph Weiss , Simon A. Gardiner , Bettina Gertjerenken

A variety of solitary waves, such as solitons, vortex rings, solitonic vortices, and more complex entities, have recently been predicted to exist. They can move in superfluid ultracold gases along elongated traps. The theoretical…

Quantum Gases · Physics 2017-02-15 L. P. Pitaevskii

By treating the centers of solitons as point particles and studying their discrete dynamics, we demonstrate a new approach to the quantization of the soliton solutions of the sine-Gordon equation, one of the first model nonlinear field…

Pattern Formation and Solitons · Physics 2008-01-16 Ivan Christov , C. I. Christov

Turbulent scaling phenomena are studied in an ultracold Bose gas away from thermal equilibrium. Fixed points of the dynamical evolution are characterized in terms of universal scaling exponents of correlation functions. The scaling behavior…

Quantum Gases · Physics 2014-11-20 Christian Scheppach , Jürgen Berges , Thomas Gasenzer

Quasi-one-dimensional solitons that may occur in an elongated Bose-Einstein condensate become unstable at high particle density. We study two basic modes of instability and the corresponding bifurcations to genuinely three-dimensional…

Condensed Matter · Physics 2007-05-23 S. Komineas , N. Papanicolaou

Using the classical field method, we study numerically the characteristics and decay of the turbulent tangle of superfluid vortices which is created in the evolution of a Bose gas from highly nonequilibrium initial conditions. By analysing…

Quantum Gases · Physics 2016-12-07 G. W. Stagg , N. G. Parker , C. F. Barenghi

We investigate the formation, stability, and dynamics of solitons in a one-dimensional binary Bose-Einstein condensate under the action of the spin-orbit-coupling (SOC) and Lee-Huang-Yang (LHY) correction to the underlying system of the…

Quantum Gases · Physics 2025-08-15 Gui-hua Chen , Hongcheng Wang , Boris A. Malomed , Haiming Deng , Yongyao Li

We continue the study of dispersive quantum shock waves in a one-dimensional Bose gas beyond the mean-field approximation. In a recent work by Simmons et al. [Phys. Rev. Let. 125, 180401 (2020)], the oscillatory shock wave train developing…

Quantum Gases · Physics 2023-07-27 S. A. Simmons , J. C. Pillay , K. V. Kheruntsyan