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Using magnetically trapped atomic hydrogen as an example, we investigate the prospects of achieving Bose-Einstein condensation in a dilute Bose gas. We show that, if the gas is quenched sufficiently far into the critical region of the phase…

Condensed Matter · Physics 2007-05-23 H. T. C. Stoof

We study the stability of the standing wave solutions of a Gross-Pitaevskii equation describing Bose-Einstein condensation of dipolar quantum gases and characterize their orbit. As an intermediate step, we consider the corresponding…

Analysis of PDEs · Mathematics 2014-03-03 Rémi Carles , Hichem Hajaiej

We discuss the coherent oscillations between two coupled quantum states of a Bose-Einstein condensate in two-dimensional space at zero temperature. In the system we consider, weak interparticle repulsive interactions occur between the…

Mesoscale and Nanoscale Physics · Physics 2015-09-03 N. S. Voronova , Yu. E. Lozovik

A vortex in a trapped Bose-Einstein condensate can experience at least two types of instabilities. (1). Macroscopic hydrodynamic motion of the vortex core relative to the center of mass of the condensate requires some process to dissipate…

Statistical Mechanics · Physics 2007-05-23 Alexander L. Fetter

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

A method to realize controllable inversion of energy levels in a one-dimensional spin-orbit (SO)-coupled two-component Bose-Einstein condensate under the action of a gradient magnetic field and harmonic-oscillator (HO) trapping potential is…

Quantum Gases · Physics 2022-12-21 Huan-Bo Luo , Boris A. Malomed , Wu-Ming Liu , Lu Li

Surface modes in a Bose-Einstein condensate of sodium atoms have been studied. We observed excitations of standing and rotating quadrupolar and octopolar modes. The modes were excited with high spatial and temporal resolution using the…

Soft Condensed Matter · Physics 2007-05-23 R. Onofrio , D. S. Durfee , C. Raman , M. Kohl , C. E. Kuklewicz , W. Ketterle

We discuss the low energy shape oscillations of a magnetic trapped atomic condensate including the spin dipole interaction. When the nominal isotropic s-wave interaction strength becomes tunable through a Feshbach resonance (e.g. as for…

Superconductivity · Physics 2009-11-07 S. Yi , L. You

We theoretically investigate the mechanical effect of the light-induced dipole-dipole interaction potential on the atoms in a Bose-Einstein condensate. We present numerical calculations on the magnitude and shape of the induced potentials…

Quantum Physics · Physics 2009-11-11 R. Löw , R. Gati , J. Stuhler , T. Pfau

We discuss the response of a Bose-Einstein condensate to a change in the scattering length, which is experimentally realized by tuning the magnetic field near a Feshbach resonance. In particular, we consider the collapse of the condensate…

Statistical Mechanics · Physics 2014-10-13 R. A. Duine , H. T. C. Stoof

Various widely-used mean-field type theories for a dilute Bose gas are critically examined in the light of the recent discovery of Bose-Einstein condensation of atomic gases in a confined geometry. By numerically solving the mean-field…

Condensed Matter · Physics 2009-10-30 Tomoya Isoshima , Kazushige Machida

We study center-of-mass oscillations of a dipolar Bose-Einstein condensate in the vicinity of a superconducting surface. We show that the magnetic field of the magnetic dipoles induces eddy currents in the superconductor, which act back on…

Quantum Gases · Physics 2013-07-19 Igor Sapina , Thomas Dahm

We study the effect of dipolar interactions on the level of squeezing in spin-1 Bose-Einstein condensates by using the single mode approximation. We limit our consideration to the $\mathfrak{su}(2)$ Lie subalgebra spanned by spin operators.…

Quantum Gases · Physics 2016-02-24 Dariusz Kajtoch , Emilia Witkowska

A Bose-Einstein condensate in an external potential consisting of a superposition of a harmonic and a random potential is considered theoretically. From a semi-quantitative analysis we find the size, shape and excitation energy as a…

Statistical Mechanics · Physics 2009-11-13 T. Nattermann , V. L. Pokrovsky

The ground state of a rotating Bose-Einstein condensate with attractive interaction in a quasi-one-dimensional torus is studied in terms of the ratio $\gamma$ of the mean-field interaction energy per particle to the single-particle…

Condensed Matter · Physics 2009-10-31 Masahito Ueda , Anthony J. Leggett

Strongly dipolar Bose gases can form liquid droplets stabilized by quantum fluctuations. In theoretical description of this phenomenon, low energy scattering amplitude is utilized as an effective potential. We show that for magnetic atoms…

Quantum Gases · Physics 2017-03-27 Rafał Ołdziejewski , Krzysztof Jachymski

A general stability criterion is derived for the D-dimensional ground states of the Gross-Pitaevskii equation, which describes attractive Bose-Einstein condensates confined in a magnetic trap. These ground states are shown to avoid the…

Condensed Matter · Physics 2009-10-31 Luc Berge , Tristram J. Alexander , Yuri S. Kivshar

A Bose-Einstein condensate trapped in a double-well potential, where atoms are incoupled to one side and extracted from the other, can in the mean-field limit be described by the nonlinear Gross-Pitaevskii equation (GPE) with a…

Quantum Physics · Physics 2014-06-12 Andreas Löhle , Holger Cartarius , Daniel Haag , Dennis Dast , Jörg Main , Günter Wunner

The time-dependent extended Gross-Pitaevskii equation for Bose-Einstein condensates with attractive 1/r interaction is investigated with both a variational approach and numerically exact calculations. We show that these condensates exhibit…

Quantum Physics · Physics 2008-07-12 Holger Cartarius , Tomaž Fabčič , Jörg Main , Günter Wunner

We investigate stability of non-equilibrium steady states of Bose-Einstein condensates with a local one-body loss in the presence of double potential barriers. We construct an exactly solvable mean-field model, in which the local loss and…

Quantum Gases · Physics 2019-12-11 Masaya Kunimi , Ippei Danshita
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