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We investigate two-dimensional (2D) states of Bose-Einstein condensates (BEC) with self-attraction or self-repulsion, trapped in an axially symmetric optical-lattice potential periodic along the radius. Unlike previously studied 2D models…

Other Condensed Matter · Physics 2009-09-13 Bakhtiyor B. Baizakov , Boris A. Malomed , Mario Salerno

We show that a Bose-Einstein condensate and a portion of its surrounding thermal cloud can exhibit mutual self-trapping, supported by the attractive particle interactions, and not by the external confinement. This type of dynamics is…

Other Condensed Matter · Physics 2007-05-23 H. Buljan , M. Segev , A. Vardi

We analyze, analytically and numerically, the position, momentum, and in particular the angular-momentum variance of a Bose-Einstein condensate (BEC) trapped in a two-dimensional anisotropic trap for static and dynamic scenarios. The…

Quantum Gases · Physics 2019-11-04 Ofir E. Alon

We study the dynamics of Bose-Einstein condensates in tilted and driven optical superlattices. For a bichromatic lattice, each Bloch band split up into two minibands such that the dynamics is governed by the interplay of Bloch oscillations…

Quantum Gases · Physics 2011-04-20 D. Witthaut , F. Trimborn , V. Kegel , H. J. Korsch

Quantum fluctuations can stabilize Bose-Einstein condensates (BEC) against the mean-field collapse. Stabilization of the condensate has been observed in quantum degenerate Bose-Bose mixtures and dipolar BECs. The fine-tuning of the…

We study the collision dynamics of two Bose-Einstein condensates with their dynamical wave functions modeled by a set of coupled, time-dependent Gross-Pitaevskii equations. Beginning with an effective one-dimensional system, we identify…

Quantum Gases · Physics 2022-03-22 Aaron Wirthwein , Stephan Haas , Sheng-wey Chiow

The partially attractive character of the dipole-dipole interaction leads to phonon instability in dipolar condensates, which is followed by collapse in three-dimensional geometries. We show that the nature of this instability is…

Other Condensed Matter · Physics 2013-05-29 R. Nath , P. Pedri , L. Santos

Coherently coupled two-component Bose-Einstein condensates (BEC) exhibit vortex confinement resembling quark confinement in Quantum Chromo Dynamics (QCD). Fractionally quantized vortices winding only in one of two components are attached by…

Quantum Gases · Physics 2020-09-16 Minoru Eto , Kazuki Ikeno , Muneto Nitta

In the present work, we revisit two-component Bose-Einstein condensates in their fully three-dimensional (3d) form. Motivated by earlier studies of dark-bright solitons in the 1d case, we explore the stability of these structures in their…

Quantum Gases · Physics 2017-03-08 Wenlong Wang , P. G. Kevrekidis

Quasi one dimensional Bose-Einstein condensates (BECs) in elongated traps exhibit significant phase fluctuations even at very low temperatures. We present recent experimental results on the dynamic transformation of phase fluctuations into…

The burgeoning field of Bose-Einstein condensation in dilute alkali and hydrogen gases has stimulated a great deal of research into the statistical physics of weakly interacting quantum degenerate systems. The recent experiments offer the…

Condensed Matter · Physics 2009-10-31 J. E. Williams , M. J. Holland

Using variational and numerical solutions of the mean-field Gross-Pitaevskii equation we show that a bright soliton can be stabilized in a trapless three-dimensional attractive Bose-Einstein condensate (BEC) by a rapid periodic temporal…

Other Condensed Matter · Physics 2009-11-10 Sadhan K. Adhikari

We numerically study the dynamics of Faraday waves for Bose-Einstein condensates(BECs) trapped by anisotropic potentials using the three-dimensional Gross-Pitaevskii equation. In previous studies, Faraday waves were excited by periodic…

Quantum Gases · Physics 2023-05-25 Nobuyuki Shukuno , Yuto Sano , Makoto Tsubota

Inspired by recent proposals for detecting gravitational waves by using Bose-Einstein condensates (BECs), we investigate the interplay between these two phenomena. A gravitational wave induces a phase shift in the fidelity amplitude of the…

Quantum Gases · Physics 2024-12-12 A. Perodi , L. Salasnich

We consider coupled atomic-molecular Bose-Einstein condensate system in a quasi-one-dimensional trap. In the vicinity of a Feshbach resonance the system can reveal soliton-like behavior. We analyze bright soliton solutions for the system in…

Other Condensed Matter · Physics 2009-11-11 B. Oles , K. Sacha

The Bose-Einstein condensates recently created in trapped atomic gases are mesoscopic systems, in two senses: (a) Their size fall between macroscopic and microscopic systems; (b) They have a quantum phase that can be manipulated in…

Condensed Matter · Physics 2007-05-23 Kerson Huang

By means of variational methods and systematic numerical analysis, we demonstrate the existence of stable solitons in three-dimensional (3D) free space, in the context of binary atomic condensates combining contact self-attraction and…

Quantum Gases · Physics 2015-12-23 Yong-Chang Zhang , Zheng-Wei Zhou , Boris A. Malomed , Han Pu

We discuss localized ground states of Bose-Einstein condensates in optical lattices with attractive and repulsive three-body interactions in the framework of a quintic nonlinear Schr\"odinger equation which extends the Gross-Pitaevskii…

Other Condensed Matter · Physics 2009-11-11 Fatkhulla Kh. Abdullaev , Mario Salerno

We analyse the static solutions of attractive Bose-Einstein condensates under transverse confinement, both with and without axial confinement. By full numerical solution of the Gross-Pitaevskii equation and variational methods we map out…

Other Condensed Matter · Physics 2009-11-13 N. G. Parker , S. L. Cornish , C. S. Adams , A. M. Martin

We study ground states of two-component Bose-Einstein condensates (BEC) with trapping potentials in $R^2$, where the intraspecies interaction $(-a_1,-a_2)$ and the interspecies interaction $-\beta$ are both attractive, $i.e,$ $a_1$, $a_2$…

Analysis of PDEs · Mathematics 2019-04-16 Yujin Guo , Shuai Li , Juncheng Wei , Xiaoyu Zeng