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The dynamics of Bose-Einstein condensates in the lowest energy band of a one-dimensional optical lattice is generally disturbed by the presence of transversally excited resonant states. We propose an effective one-dimensional theory which…

Other Condensed Matter · Physics 2007-05-23 K. -P. Marzlin , V. I. Yukalov

We consider the condensate wavefunction of a rapidly rotating two-component Bose gas with an equal number of particles in each component. If the interactions between like and unlike species are very similar (as occurs for two hyperfine…

Condensed Matter · Physics 2009-11-07 Erich J. Mueller , Tin-Lun Ho

We construct vector rogue wave solutions of the two-dimensional two coupled nonlinear Schr\"{o}dinger equations with distributed coefficients, namely diffraction, nonlinearity and gain parameters through similarity transformation technique.…

Exactly Solvable and Integrable Systems · Physics 2016-11-03 K. Manikandan , M. Senthilvelan , R. A. Kraenkel

We study circularly-symmetric phase separation of vortex lattices in a rapidly rotating harmonically-trapped quasi--two-dimensional binary Bose-Einstein condensate (BEC) by introducing a weak quartic trap in one of the components. The…

Quantum Gases · Physics 2019-08-22 S. K. Adhikari

We study the collective oscillations of three-dimensional Bose-Einstein condensates (BECs) excited by a vortex ring. We identify independent, integrated, and stationary modes of the center-of-mass oscillation of the condensate with respect…

Quantum Gases · Physics 2023-01-02 Wen-Kai Bai , Jian-chong Xing , Tao Yang , Wen-Li Yang , Wu-Ming Liu

We report a numerical study of turbulence and Bose-Einstein condensation within the two-dimmensional Gross-Pitaevski model with repulsive interaction. In presence of weak forcing localized around some wave number in the Fourier space, we…

Chaotic Dynamics · Physics 2015-06-26 Sergey Nazarenko , Miguel Onorato

We investigate the scaling of the energy cascade in a harmonically trapped, turbulent, rotating Bose-Einstein condensate (BEC) in two dimensions. We achieve turbulence by injecting a localized perturbation into the condensate and gradually…

Our aim in the present work is to identify all the possible standing wave configurations involving few vortices of different charges in an atomic Bose-Einstein condensate (BEC). In this effort, we deploy the use of a computational algebra…

Pattern Formation and Solitons · Physics 2018-10-30 Emilie Dufresne , Heather A Harrington , Panayotis G Kevrekidis , Paolo Tripoli

Vortices in a one-component dilute atomic ultracold Bose-Einstein condensate (BEC) usually arise as a response to externally driven rotation. Apart from a few special situations, these vortices are singly quantized with unit circulation.…

Quantum Gases · Physics 2015-06-24 Alexander L. Fetter

We calculate the vortex structures of an elongated two-component Bose-Einstein condensate. We study how these structures depend on the intra-component and inter-component interaction strengths. We present analytic and numeric results…

Quantum Gases · Physics 2011-12-09 Ran Wei , Erich Mueller

We address the Bose polaron problem of a mobile impurity interacting strongly with a host Bose-Einstein condensate (BEC) through a Feshbach resonance. On the repulsive side at strong couplings, theoretical approaches predict two distinct…

Quantum Gases · Physics 2026-01-01 Nader Mostaan , Nathan Goldman , Fabian Grusdt

We derive an effective nonpolynomial Schrodinger equation (NPSE) for self-repulsive or attractive BEC in the nearly-1D cigar-shaped trap, with the transverse confining frequency periodically modulated along the axial direction. Besides the…

Other Condensed Matter · Physics 2009-11-13 L. Salasnich , A. Cetoli , B. A. Malomed , F. Toigo , L. Reatto

Axisymmetric three-dimensional solitary waves in uniform two-component mixture Bose-Einstein condensates are obtained as solutions of the coupled Gross-Pitaevskii equations with equal intracomponent but varying intercomponent interaction…

Soft Condensed Matter · Physics 2009-11-10 Natalia G. Berloff

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 study the dynamic behavior of a Bose-Einstein condensate (BEC) containing a dark soliton separately reflected from potential drops and potential barriers. It is shown that for a rapidly varying potential and in a certain regime of…

Quantum Gases · Physics 2020-10-01 Dongmei Wang , Bo Xiong , Tao Yang

We show by extensive numerical simulations and analytical variational calculations that elongated binary non-miscible Bose-Einstein condensates subject to periodic modulations of the radial confinement exhibit a Faraday instability similar…

Quantum Gases · Physics 2012-12-20 Antun Balaz , Alexandru I. Nicolin

We study analytically and numerically the generation of shock waves in a quasi one-dimensional Bose-Einstein condensate (BEC) made of dilute and ultracold alkali-metal atoms. For the BEC we use an equation of state based on a 1D…

Pattern Formation and Solitons · Physics 2016-03-30 Luca Salasnich

There are many examples in physics of systems showing rogue wave behaviour, the generation of high amplitude events at low probability. Although initially studied in oceanography, rogue waves have now been seen in many other domains, with…

Stable vortex dimers are known to exist in coherently coupled two component Bose-Einstein condensates (BECs). We construct stable vortex trimers in three component BECs and find that the shape can be controlled by changing the internal…

Quantum Gases · Physics 2014-03-06 Muneto Nitta , Minoru Eto , Mattia Cipriani

One considers the superfluid (SF) state of a Bose liquid with a strong repulsion between bosons, in which at T=0, along with a weak single-particle Bose-Einstein condensate (BEC), there exists an intensive pair coherent condensate (PCC),…

Soft Condensed Matter · Physics 2007-05-23 E. A. Pashitskii , S. V. Mashkevich , S. I. Vilchynskyy
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