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This review paper presents an overview of the theoretical and experimental progress on the study of matter-wave dark solitons in atomic Bose-Einstein condensates. Upon introducing the general framework, we discuss the statics and dynamics…

Quantum Gases · Physics 2015-05-18 D. J. Frantzeskakis

We use a multiple time scale boundary layer theory to derive the equation of motion for a dark (or `grey') soliton propagating through an effectively one-dimensional cloud of Bose-Einstein condensate, assuming only that the background…

Condensed Matter · Physics 2009-10-31 Th. Busch , J. R. Anglin

Two effectively one-dimensional parallel coupled Bose-Einstein condensates in the presence of external potentials are studied. The system is modelled by linearly coupled Gross-Pitaevskii equations. In particular, grey-soliton-like solutions…

Pattern Formation and Solitons · Physics 2015-05-28 Muhammad I. Qadir , Hadi Susanto , Paul C. Matthews

A quantum model of Bose-Einstein condensation based on processes involving polaritons excited in an intracavity absorbing cell with resonance atoms, which is manifested in the spectral characteristics of the system, is considered. It is…

We construct families of incoherent matter-wave solitons in a repulsive degenerate Bose gas trapped in an optical lattice (OL), i.e., gap solitons, and investigate their stability at zero and finite temperature, using the…

Other Condensed Matter · Physics 2009-11-11 I. M. Merhasin , Boris A. Malomed , Y. B. Band

The evolution of atomic solitary waves in Bose-Einstein condensate (BEC) under adiabatic changes of the atomic scattering length is investigated. The variations of amplitude, width, and velocity of soliton are found for both spatial and…

Condensed Matter · Physics 2009-11-10 F. Kh. Abdullaev , Mario Salerno

Attraction between atoms in a Bose-Einstein-Condensate renders the condensate unstable to collapse. Confinement in an atom trap, however, can stabilize the condensate for a limited number of atoms, as was observed with 7Li, but beyond this…

Statistical Mechanics · Physics 2009-11-07 Kevin E. Strecker , Guthrie B. Partridge , Andrew G. Truscott , Randall G. Hulet

Simple derivation of the condition for the transition point from absolute instability of plane dark solitons to their convective instability is suggested. It is shown that unstable wave packet expands with velocity equal to the minimal…

Quantum Gases · Physics 2015-05-28 A. M. Kamchatnov , S. V. Korneev

We theoretically investigate the effect of an anisotropic trap on the instability of the polar $(m_F=0)$ phase of a spin-1 Bose-Einstein condensate. By considering rigorously the spatial quantization, we show that the growth of the nascent…

Other Condensed Matter · Physics 2009-11-13 M. Baraban , H. F. Song , S. M. Girvin , L. I. Glazman

We study the dynamics of Bose-Einstein condensates in an optical lattice and harmonic trap. The condensates are set in motion by displacing the trap and initially follow simple semiclassical paths, shaped by the lowest energy band. Above a…

Condensed Matter · Physics 2009-11-07 R. G. Scott , A. M. Martin , T. M. Fromhold , S. Bujkiewicz , F. W. Sheard , M. Leadbeater

We discuss coherent atomic oscillations between two weakly coupled Bose-Einstein condensates that are energetically different. The weak link is notionally provided by a laser barrier in a (possibly asymmetric) multi-well trap or by Raman…

Quantum Gases · Physics 2022-05-25 John D. Andersen , Srikanth Raghavan , V. M. Kenkre

Inspired by experiments on Bose-Einstein condensates in optical lattices, we study the quantum evolution of dark soliton initial conditions in the context of the Bose-Hubbard Hamiltonian. An extensive set of quantum measures is utilized in…

Mesoscale and Nanoscale Physics · Physics 2010-06-01 R. V. Mishmash , L. D. Carr

We study the stability of persistent currents in a coherently coupled quasi-2D Bose-Einstein condensate confined in a ring trap at T=0. By numerically solving Gross-Pitaevskii equations and by analyzing the excitation spectrum obtained from…

Quantum Gases · Physics 2016-03-09 Marta Abad

We discuss temporal dark solitons in confined nonuniform Bose condensates. As a kind of localized high excitation, these solitons can be viewed as macroscopic quasiparticles, having relative motion to the background condensate. We get an…

Superconductivity · Physics 2007-05-23 Tao Hong , Yu Zhu Wang , Yun Sheng Huo

We examine the stability and dynamics of a family of crossed dark solitons in a harmonically confined Bose-Einstein condensate in two dimensions. Working in a regime where the fundamental snake instability is suppressed, we show the…

Quantum Gases · Physics 2014-02-04 T. Morgan , Th. Busch

We investigate the dynamics of two miscible superfluids experiencing fast counterflow in a narrow channel. The superfluids are formed by two distinguishable components of a trapped dilute-gas Bose-Einstein condensate (BEC). The onset of…

Quantum Gases · Physics 2011-11-10 M. A. Hoefer , J. J. Chang , C. Hamner , P. Engels

Adopting a mean-field description for a two-component atomic Bose-Einstein condensate, we study the stat- ics and dynamics of dark-bright solitons in the presence of localized impurities. We use adiabatic perturbation theory to derive an…

Quantum Gases · Physics 2015-06-03 V. Achilleos , P. G. Kevrekidis , V. M. Rothos , D. J. Frantzeskakis

We report an important step forward for the goal of unambiguous observation of Bose-Einstein condensation of excitons in semiconductors. We have demonstrated a system in which excitons live for microseconds, much longer than their…

Strongly Correlated Electrons · Physics 2009-11-10 D. W. Snoke , Y. Liu , Z. Voros , L. Pfeiffer , K. West

We show how novel types of long-lived self-localized matter waves can be constructed with Bose-Einstein condensates. The ingredients leading to such structures are a spatial phase generating a flux of atoms towards the condensate center and…

Pattern Formation and Solitons · Physics 2009-11-11 Adrian Alexandrescu , Victor M. Perez-Garcia

The dynamics of a Bose-Einstein condensate (BEC) in a time-dependent harmonic trapping potential is determined for arbitrary variations of the position of the center of the trap and its frequencies. The dynamics of the BEC wavepacket is…

Soft Condensed Matter · Physics 2009-11-07 Y. Japha , Y. B. Band