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Stability of elongated (``slender") quantum droplets (QDs) with embedded unitary and multiple vorticity is a problem that was not solved previously. In this work, we propose a solution which relies upon the use of the spatial modulation of…

Quantum Gases · Physics 2025-07-15 Guilong Li , Zibin Zhao , Rui Zhang , Zhaopin Chen , Bin Liu , Boris A. Malomed , Yongyao Li

We study modulation instability (MI) of flat states in two-component spin-orbit-coupled (SOC) Bose-Einstein condensates (BECs) in the framework of coupled Gross-Pitaevskii equations for two components of the pseudospinor wave function. The…

Quantum Gases · Physics 2023-04-14 Ishfaq Ahmad Bhat , T. Mithun , B. A. Malomed , K. Porsezian

We examine the effect of the intra- and interspecies scattering lengths on the dynamics of a two-component Bose-Einstein condensate, particularly focusing on the existence and stability of solitonic excitations. For each type of possible…

Quantum Gases · Physics 2012-03-13 Gábor Csire. Dániel Schumayer , Barnabás Apagyi

A quasi-one-dimensional Bose-Einstein condensate loaded into a quasi-periodic potential created by two sub-lattices of comparable amplitudes and incommensurate periods is considered. Although the conventional tight-binding approximation is…

Quantum Physics · Physics 2026-05-22 Vladimir V. Konotop

We reanalyze the non-linear population dynamics of a Bose-Einstein Condensate (BEC) in a double well trap considering a semiclassical approach based on a time dependent variational principle applied to coherent states associated to SU(2)…

Quantum Physics · Physics 2010-11-10 Thiago F. Viscondi , K. Furuya , M. C. de Oliveira

We study modulational instability of matter-waves in Bose-Einstein condensates (BEC) under strong temporal nonlinearity-management. Both BEC in an optical lattice and homogeneous BEC are considered in the framework of the Gross-Pitaevskii…

Other Condensed Matter · Physics 2008-12-15 F. Kh. Abdullaev , A. A. Abdumalikov , R. M. Galimzyanov

We consider the Bose-Einstein condensate trapped in optical lattice, which is formed from two kinds of deep potentials. The tight-binding approximation was used. Steady state distribution of the probability amplitudes and the site…

Pattern Formation and Solitons · Physics 2007-12-12 Ekaterina A. Sorokina , Andrei I. Maimistov

Flat bands and dynamical localization of binary mixtures of Bose-Einstein condensates, with spin-orbit coupling subjected to a deep optical lattice which is shaking in time and to a periodic time modulation of the Zeeman field, are…

Quantum Gases · Physics 2018-12-10 Fatkhulla Kh. Abdullaev , Mario Salerno

We consider dynamical stabilization of Bose-Einstein condensates (BEC) by time-dependent modulation of the scattering length. The problem has been studied before by several methods: Gaussian variational approximation, the method of moments,…

Other Condensed Matter · Physics 2013-05-29 Alexander Itin , Shinichi Watanabe , Toru Morishita

By means of the variational approximation (VA) and systematic simulations, we study dynamics and stability boundaries for solitons in a two-dimensional (2D) self-attracting Bose-Einstein condensate (BEC), trapped in an optical lattice (OL)…

Other Condensed Matter · Physics 2009-11-13 Gennadiy Burlak , Boris A. Malomed

Using a three-dimensional mean-field model we study one-dimensional dipolar Bose-Einstein condensate (BEC) solitons on a weak two-dimensional (2D) square and triangular optical lattice (OL) potentials placed perpendicular to the…

Quantum Gases · Physics 2012-06-14 S. K. Adhikari , P. Muruganandam

We analyze spatio-temporal structures in the Gross-Pitaevskii equation to study the dynamics of quasi-one-dimensional Bose-Einstein condensates (BECs) with mean-field interactions. A coherent structure ansatz yields a parametrically forced…

Chaotic Dynamics · Physics 2009-11-10 Mason A. Porter , Predrag Cvitanovic

We study the Bloch oscillations (BOs) of two-component Bose-Einstein condensates (BECs) trapped in spin-dependent optical lattices. Based on the derived equations of motion of the wave packet in the basis of localized wave functions of the…

Quantum Gases · Physics 2011-11-11 Huai-Qiang Gu , Jun-Hong An , Kang Jin

Coupled nonlinear Schrodinger equations (CNLS) with an external elliptic function potential model a quasi one--dimensional interacting two-component Bose-Einstein condensate trapped in a standing light wave. New families of stationary…

Soft Condensed Matter · Physics 2007-05-23 N. A. Kostov , V. Z. Enol'skii , V. S. Gerdjikov , V. V. Konotop , M. Salerno

We model the nonlinear behaviour of spin-1 Bose-Einstein condensates (BECs) with repulsive spin-independent interactions and either ferromagnetic or anti-ferromagnetic (polar) spin-dependent interactions, loaded into a one-dimensional…

Other Condensed Matter · Physics 2015-06-25 Beata J. Dabrowska-Wuester , Elena A. Ostrovskaya , Tristram J. Alexander , Yuri S. Kivshar

We predict the loss of superfluidity in a Bose-Einstein condensate (BEC) trapped in a combined optical and axially-symmetric harmonic potentials during a resonant collective excitation initiated by a periodic modulation of the atomic…

Soft Condensed Matter · Physics 2009-11-07 Sadhan K. Adhikari

We investigate the dynamics of an effectively one-dimensional Bose-Einstein condensate (BEC) with scattering length $a$ subjected to a spatially periodic modulation, $a=a(x)=a(x+L)$. This "collisionally inhomogeneous" BEC is described by a…

Pattern Formation and Solitons · Physics 2009-11-11 Mason A. Porter , P. G. Kevrekidis , Boris A. Malomed , D. J. Frantzeskakis

Motivated by recent proposals of ``collisionally inhomogeneous'' Bose-Einstein condensates (BECs), which have a spatially modulated scattering length, we study the existence and stability properties of bright and dark matter-wave solitons…

Pattern Formation and Solitons · Physics 2009-11-13 A. S. Rodrigues , P. G. Kevrekidis , Mason A. Porter , D. J. Frantzeskakis , P. Schmelcher , A. R. Bishop

We propose a practically accessible non-mean-field ground state of Bose-Einstein condensation (BEC), which occurs in an interspecies two-particle entangled state, and is thus described by an entangled order parameter. A suitably defined…

Other Condensed Matter · Physics 2007-05-23 Yu Shi , Qian Niu

A harmonically trapped Bose-Einstein condensate (BEC) leads to topologically trivial compact states. Because of the long-range nonlocal dipole-dipole interaction, a strongly dipolar BEC revealed many novel phenomena. Here we show that in a…

Quantum Gases · Physics 2025-07-28 S. K. Adhikari