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Related papers: Stability of Magnetically Trapped Bose-Einstein Co…

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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

Magnetically-trapped atoms in Bose-Einstein condensates are spin polarized. Since the magnetic field is inhomogeneous, the atoms aquire Berry phases of the Aharonov-Bohm type during adiabatic motion. In the presence of an eletric field…

Condensed Matter · Physics 2009-11-07 J. M. Kailasvuori , T. H. Hansson , G. M. Kavoulakis

We examine a Bose-Einstein condensate of atoms that rotates in a quadratic-plus-quartic potential. It is shown that states of different circulation can be metastable. As a result, we demonstrate that the gas can exhibit hysteresis as the…

Other Condensed Matter · Physics 2009-11-10 A. D. Jackson , G. M. Kavoulakis

The population dynamics of a trapped Bose-Einstein condensate, subject to the action of an oscillatory field, is studied. This field produces a modulation of the trapping potential with the frequency close to the transition frequency…

Condensed Matter · Physics 2007-05-23 V. I. Yukalov , E. P. Yukalova , V. S. Bagnato

Using a focused laser beam we stir a $^{87}$Rb Bose-Einstein condensate confined in a magnetic trap. We observe that the steady states of the condensate correspond to an elliptic cloud, stationary in the rotating frame. These steady states…

Statistical Mechanics · Physics 2009-11-07 K. W. Madison , F. Chevy , V. Bretin , J. Dalibard

In superfluid $^3$He-B externally pumped quantized spin-wave excitations or magnons spontaneously form a Bose-Einstein condensate in a 3-dimensional trap created with the order-parameter texture and a shallow minimum in the polarizing…

Other Condensed Matter · Physics 2014-03-20 P. J. Heikkinen , S. Autti , V. B. Eltsov , J. J. Hosio , M. Krusius , V. V. Zavjalov

We have created a Bose-Einstein condensate whose spin orientation is metastable. Condensates were transferred into a quadrupole magnetic trap, where Majorana transitions limited the lifetime to a few hundred milliseconds, about 30 times the…

Other Condensed Matter · Physics 2013-06-10 D. S. Naik , S. R. Muniz , C. Raman

We examine an effectively attractive quasi-one-dimensional Bose-Einstein condensate of atoms confined in a rotating toroidal trap, as the magnitude of the coupling constant and the rotational frequency are varied. Using both a variational…

Condensed Matter · Physics 2009-11-10 G. M. Kavoulakis

We present a theoretical model to describe the dynamics of Bose-Einstein condensates in anharmonic trapping potentials. To first approximation the center-of-mass motion is separated from the internal condensate dynamics and the problem is…

Statistical Mechanics · Physics 2009-11-07 H. Ott , J. Fortagh , C. Zimmermann

We systematically investigate the ground state and dynamics of spinor Bose-Einstein condensates subject to a position-dependent detuning. This detuning induces three related quantities-a synthetic magnetic field, an angular velocity, and an…

Quantum Gases · Physics 2025-06-12 Fengtao Pang , Huaxin He , Yongping Zhang , Chunlei Qu

We present an investigation of the fast decompression of a three-dimensional (3D) Bose-Einstein condensate (BEC) at finite temperature using an engineered trajectory for the harmonic trapping potential. Taking advantage of the scaling…

A rigorous time independent Hamiltonian for rotating atomic traps is discussed. The steady states carry a mass current and thereby an angular momentum. It is shown that the rotation positions the atoms away from the rotation axis (after…

Statistical Mechanics · Physics 2007-05-23 T. Majmudar , A. Widom

We discuss the impact of thermally excited near fields on the coherent expansion of a condensate in a miniaturized electromagnetic trap. Monte Carlo simulations are compared with a kinetic two-component theory and indicate that atom…

Soft Condensed Matter · Physics 2016-08-31 Carsten Henkel , Simon A. Gardiner

We examine bosonic atoms that are confined in a toroidal, quasi-one-dimensional trap, subjected to a random potential. The resulting inhomogeneous atomic density is smoothened for sufficiently strong, repulsive interatomic interactions.…

Other Condensed Matter · Physics 2009-11-11 M. Ogren , G. M. Kavoulakis

We briefly discuss energy, normal modes and dynamics of a vortex in a trapped Bose-Einstein condensate. Theoretical results are compared with current experiments.

Statistical Mechanics · Physics 2007-05-23 Alexander L. Fetter , Anatoly A. Svidzinsky

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

It is shown that a vortex can be continuously created in a Bose-Einstein condensate with hyperfine spin F=2 in a Ioffe-Pritchard trap by reversing the axial magnetic field adiabatically. It may be speculated that the condensate cannot be…

Statistical Mechanics · Physics 2007-05-23 Mikko Mottonen , Naoki Matsumoto , Mikio Nakahara , Tetsuo Ohmi

We consider the Bose-Einstein condensation of atoms in a trap where the density of particles is so high that the low density approach of Gross and Pitaevskii will not be applicable. For this purpose we use the slave boson representation…

Statistical Mechanics · Physics 2009-10-30 Klaus Ziegler , Alok Shukla

We investigate the evolution process of the interference pattern for a coherent array of Bose-Einstein condensates in a magnetic trap after the optical lattices are switched off. It is shown that there is a decay and revival of the density…

Soft Condensed Matter · Physics 2009-11-07 Hongwei Xiong , Shujuan Liu , Guoxiang Huang , Zhijun Xu

In this paper we investigate the stability of a recently introduced Bose-Einstein condensate (BEC) which involves logarithmic interaction between atoms. The Gaussian variational approach is employed to derive equations of motion for…

Quantum Gases · Physics 2015-07-14 B. Bouharia