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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 study a system of $N$ Bose atoms trapped by a symmetric harmonic potential, interacting via weak central forces. Considering the ground state of the rotating system as a function of the two conserved quantities, the total angular…

Statistical Mechanics · Physics 2009-11-07 M. S. Hussein , O. K. Vorov

Conservation of angular momentum depends on the existence of rotational symmetry. However, even in systems where this symmetry is broken, flipping between angular momentum eigenstates often requires an activation energy. Here we discuss an…

Quantum Gases · Physics 2024-07-12 Angela White , Thomas Busch

A theoretical scheme for an experimental implementation involving bisolitonic matter waves from an attractive Bose-Einstein condensate, is considered within the framework of a non-perturbative approach to the associate Gross-Pitaevskii…

Pattern Formation and Solitons · Physics 2011-02-22 Alain Moise Dikande , Isaiah Ndifon Ngek , Joseph Ebobenow

We investigate the occurrence of rotons in a quadrupolar Bose-Einstein condensate confined to two dimensions. Depending on the particle density, the ratio of the contact and quadrupole-quadrupole interactions, and the alignment of the…

Quantum Gases · Physics 2015-04-29 M. Lahrz , Mikhail Lemeshko , L. Mathey

In this work we derive evolution equations for the nonlinear behavior of a coasting beam under the influence of a resonator impedance. Using a renormalization group approach we find a set of coupled nonlinear equations for the beam density…

Accelerator Physics · Physics 2007-05-23 S. I. Tzenov , P. L. Colestock

We present experimental results and a systematic theoretical analysis of dark-br ight soliton interactions and multiple-dark-bright soliton complexes in atomic t wo-component Bose-Einstein condensates. We study analytically the interactions…

By effectively controlling the dipole-dipole interaction, we investigate the characteristics of the ground state of bright solitons in a spin-orbit coupled dipolar Bose-Einstein condensate. The dipolar atoms are trapped within a…

Solitons are among the most distinguishing fundamental excitations in a wide range of non-linear systems such as water in narrow channels, high speed optical communication, molecular biology and astrophysics. Stabilized by a balance between…

Other Condensed Matter · Physics 2009-11-13 C. Becker , S. Stellmer , P. Soltan-Panahi , S. Dörscher , M. Baumert , E. -M. Richter , J. Kronjäger , K. Bongs , K. Sengstock

We consider the vortex state solution for a rotating cloud of trapped, Bose Einstein - condensed alkali atoms and study finite temperature effects. We find that thermally excited vortex waves can distort the vortex state significantly, even…

Condensed Matter · Physics 2009-10-28 Carlo F. Barenghi

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

We study Faraday and resonant waves in two-component quasi-one-dimensional (cigar-shaped) collisionally inhomogeneous Bose-Einstein condensates subject to periodic modulation of the radial confinement. We show by means of extensive…

The development of integrated, waveguide-based atom optical devices requires a thorough understanding of nonlinear matter-wave mixing processes in confined geometries. This paper analyzes the stability of counterpropagating two-component…

Condensed Matter · Physics 2007-05-23 J. Heurich , H. Pu , M. G. Moore , P. Meystre

We observe spin rotations caused by atomic collisions in a non-equilibrium Bose-condensed gas of $^{87}$Rb. Reflection from a pseudomagnetic barrier creates counterflow in which forward- and backward-propagating matter waves have partly…

Quantum Gases · Physics 2024-04-25 David C. Spierings , Joseph H. Thywissen , Aephraim M. Steinberg

We consider the mean-field dynamics of Bose-Einstein condensates in rotating harmonic traps and establish several stability and instability properties for the corresponding solution. We particularly emphasize the difference between the…

Analysis of PDEs · Mathematics 2024-01-29 Jack Arbunich , Irina Nenciu , Christof Sparber

We calculate the critical rotation frequency at which a vortex state becomes energetically favorable over the vortex-free ground state in a harmonically trapped Bose-Einstein condensate whose atoms have dipole-dipole interactions as well as…

Other Condensed Matter · Physics 2007-05-23 Duncan H. J. O'Dell , Claudia Eberlein

We Proveexistence, symmetry and uniqueness of standing waves of a BCE with josephson junction. We also characterize the orbit of standing waves

Analysis of PDEs · Mathematics 2013-10-01 Hichem Hajaiej

We propose methods to create fractional vortices in the cyclic state of an F = 2 spinor Bose-Einstein condensate by manipulating its internal spin structure using pulsed microwave and laser fields. The stability of such vortices is studied…

Quantum Gases · Physics 2015-05-14 J. A. M. Huhtamäki , T. P. Simula , M. Kobayashi , K. Machida

The nonlinear excitations underlying the onset of rotation in a dilute Bose-Einstein condensate confined to a thin spherical shell are studied. These excitations correspond to solitary waves rotating about the sphere at constant angular…

Quantum Gases · Physics 2026-05-20 Noel Cuadra , Alberto Villois , Thomas Gasenzer , Davide Proment

We use a variational method to investigate the ground-state phase diagram of a small, asymmetric Bose-Einstein condensate with respect to the dimensionless interparticle interaction strength $\gamma$ and the applied external rotation speed…

Condensed Matter · Physics 2009-11-07 Marion Linn , Matthias Niemeyer , Alexander L. Fetter
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