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Temporal periodic modulation of the interatomic s-wave scattering length in Bose-Einstein condensates is shown to excite subharmonic patterns of atom density through a parametric resonance. The dominating wavelength of the spatial…

Statistical Mechanics · Physics 2009-11-07 Kestutis Staliunas , Stefano Longhi , German J. de Valcarcel

We report on the out-of-equilibrium dynamics of a Bose-Einstein condensate (BEC) placed in an optical lattice whose phase is suddenly modulated. The frequency and the amplitude of modulation are chosen to ensure a negative renormalized…

Particle-wave duality enables the construction of interferometers for matter waves, which complement optical interferometers in precision measurement devices. This requires the development of atom-optics analogs to beam splitters, phase…

We investigate the localized nonlinear matter waves of the quasi-two dimensional Bose-Einstein condensates with spatially modulated nonlinearity in harmonic potential. It is shown that the whole Bose-Einstein condensates, similar to the…

Quantum Gases · Physics 2015-05-14 Deng-Shan Wang , Xing-Hua Hu , Jiangping Hu , W. M. Liu

We study the coherent flow of interacting Bose-condensed atoms in mesoscopic waveguide geometries. Analytical and numerical methods, based on the mean-field description of the condensate, are developed to study both stationary as well as…

Other Condensed Matter · Physics 2009-11-13 Tobias Paul , Michael Hartung , Klaus Richter , Peter Schlagheck

We explore the form of rogue wave solutions in a select set of case examples of nonlinear Schr\"odinger equations with variable coefficients. We focus on systems with constant dispersion, and present three different models that describe…

Pattern Formation and Solitons · Physics 2014-10-23 J. S. He , E. G. Charalampidis , P. G. Kevrekidis , D. J. Frantzeskakis

Theoretical and numerical studies are presented of the amplitude modulation of electron-acoustic waves (EAWs) propagating in space plasmas whose constituents are inertial cold electrons, Boltzmann distributed hot electrons and stationary…

Space Physics · Physics 2009-11-10 I. Kourakis , P. K. Shukla

We investigate the matter rogue wave in Bose-Einstein Condensates with attractive interatomic interaction analytically and numerically. Our results show that the formation of rogue wave is mainly due to the accumulation of energy and atoms…

Quantum Gases · Physics 2013-09-24 Lin Wen , Lu Li , Zai-Dong Li , Shu-Wei Song , Xiao-Fei Zhang , W. M. Liu

Theoretical and numerical studies are presented of the nonlinear amplitude modulation of dust-acoustic (DA) waves propagating in an unmagnetized three component, weakly-coupled, fully ionized plasma consisting of electrons, positive ions…

Plasma Physics · Physics 2009-11-10 I. Kourakis , P. K. Shukla

We study modulational instability of two-component Bose-Einstein condensates in an optical lattice, which is modelled as a coupled discrete nonlinear Schr \"{o}dinger equation. The excitation spectrum and the modulational instability…

Quantum Physics · Physics 2016-09-08 Guang-Ri Jin , Chul Koo Kim , Kyun Nahm

We consider Bloch oscillations of Bose-Einstein condensates in presence of a time-modulated s-wave scattering length. Generically, interaction leads to dephasing and decay of the wave packet. Based on a cyclic-time argument, we…

In this paper, we are interested in studying the modulational dynamics of interfacial waves rising buoyantly along a conduit of a viscous liquid. Formally, the behavior of modulated periodic waves on large space and time scales may be…

Analysis of PDEs · Mathematics 2019-11-05 Mathew A. Johnson , Wesley R. Perkins

We find analytic continuous wave (cw) solutions for spinor Bose-Einstein condenates (BECs) in a magnetic field that are more general than those published to date. For particles with spin F=1 in a homogeneous one-dimensional trap, there…

Quantum Gases · Physics 2013-03-14 Richard S. Tasgal , Y. B. Band

This study investigates the emergence of chaotic dynamics in Bose-Einstein condensates (BECs) subjected to both alternating (AC) and constant (DC) components of the interaction strength, modeled through the scattering length. We…

Quantum Physics · Physics 2025-06-03 C. Selvaraju , S. Sabari , O. T. Lekeufack , F. Kenmogne , N. Athavan

Motivated by recent work on instabilities in expanding domains in reaction-diffusion settings, we propose an analog of such mechanisms in energy-conserving wave equations. In particular, we consider a nonlinear Schr{\"o}dinger equation in a…

Pattern Formation and Solitons · Physics 2009-11-13 K. J. H. Law , P. G. Kevrekidis , D. J. Frantzeskakis , A. R. Bishop

We consider a spinor Bose-Einstein condensate in its polar ground state. We analyze magnetization waves of a finite amplitude and show that their nonlinear coupling to the density waves change the dependence of the frequency on the…

Soft Condensed Matter · Physics 2009-11-07 I. E. Mazets , E. V. Orlenko , B. G. Matisov

We derive the dynamic and thermodynamic stability conditions for dilute multicomponent Bose-Einstein condensates (BECs). These stability conditions, generalized for $n$-component BECs, are found to be equivalent and are shown to be…

Other Condensed Matter · Physics 2009-11-11 David C. Roberts , Masahito Ueda

The scattering of sound wave perturbations from vortex excitations of Bose-Einstein condensates(BEC) is investigated by numerical integration of the associated Klein-Gordon equation. It is found that, at sufficiently high angular speeds,…

General Relativity and Quantum Cosmology · Physics 2009-11-11 F. Federici , C. Cherubini , S. Succi , M. P. Tosi

Bose-Einstein condensate (BEC) is considered under conditions of Feshbach resonance in two-atom collisions due to a coupling of atomic pair and resonant molecular states. The association of condensate atoms can form a molecular BEC, and the…

Soft Condensed Matter · Physics 2007-05-23 Vladimir A. Yurovsky

The occurrence of vortices in atomic Bose-Einstein condensates (BEC) enables a description of their superfluid behaviour. In this article we present a pedagogical introduction to the vortex physics in trapped atomic BECs. The mechanism of…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Sankalpa Ghosh
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