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We calculate the breathing mode frequency $\omega$ in a one-dimensional Bose gas confined to a harmonic trap of frequency $\omega_z$. We predict Exciting temporal oscillations of the density distribution is a high-precision method for…

Quantum Gases · Physics 2015-08-12 A. Iu. Gudyma , G. E. Astrakharchik , Mikhail B. Zvonarev

Single particle states in the atomic trap employing the rotating magnetic field are found using the full time-dependent instantaneous trapping potential. These states are compared with those of the effective time-averaged potential. We show…

We have constructed a mm-scale Ioffe-Pritchard trap capable of providing axial field curvature of 7800 G/cm$^2$ with only 10.5 Amperes of driving current. Our novel fabrication method involving electromagnetic coils formed of hard anodized…

We report on the confinement of a Bose-Einstein condensate in an annular trap with widely tunable parameters. The trap relies on a combination of magnetic, optical and radio-frequency fields. The loading procedure is discussed. We present…

We theoretically investigate an adjustable-radius magnetic storage ring for laser-cooled and Bose-condensed atoms. Additionally, we discuss a novel time-dependent variant of this and other ring traps. Time-orbiting ring traps provide a high…

Soft Condensed Matter · Physics 2007-05-23 A S Arnold

A radio frequency (RF) transition is used to convert a pure F=2,mF=2 87Rb Bose-Einstein condensate confined in a TOP trap to a mixture of F=2,mF=2 and F=2,mF=1 states. We show that the nature of this coupling process is strongly influenced…

Condensed Matter · Physics 2009-10-31 J. L. Martin , C. R. McKenzie , N. R. Thomas , D. M. Warrington , A. C. Wilson

In a recent experiment, a Bose-Einstein condensate was trapped in an anharmonic potential which is well approximated by a harmonic and a quartic part. The condensate was set into such a fast rotation that the centrifugal force in the…

Statistical Mechanics · Physics 2009-11-11 Sebastian Kling , Axel Pelster

We study the normal modes of a two-dimensional rotating Bose-Einstein condensate confined in a quadratic plus quartic trap. Hydrodynamic theory and sum rules are used to derive analytical predictions for the collective frequencies in the…

Statistical Mechanics · Physics 2009-11-10 M. Cozzini , A. L. Fetter , B. Jackson , S. Stringari

We report the results of experiments with Bose-Einstein condensates of rubidium atoms in a triaxial TOP-trap, presenting measurements of the condensate fraction and the free expansion of a condensate released from the trap. The experimental…

Soft Condensed Matter · Physics 2016-08-15 J. H. Müller , D. Ciampini , O. Morsch , G. Smirne , M. Fazzi , P. Verkerk , F. Fuso , E. Arimondo

The aim of this paper is to perform a numerical and analytical study of a rotating Bose Einstein condensate placed in a harmonic plus Gaussian trap, following the experiments of \cite{bssd}. The rotational frequency $\Omega$ has to stay…

Quantum Gases · Physics 2012-09-27 Amandine Aftalion , Peter Mason

We consider an interacting, dilute Bose gas trapped in a harmonic potential at a positive temperature. The system is analyzed in a combination of a thermodynamic and a Gross-Pitaevskii (GP) limit where the trap frequency $\omega$, the…

Mathematical Physics · Physics 2019-08-27 Andreas Deuchert , Robert Seiringer , Jakob Yngvason

The oscillation frequencies of collective excitations of a trapped Bose-Einstein condensate, when calculated in the mean-field approximation and in the Thomas-Fermi limit, are independent of the scattering length $a$. We calculate the…

Statistical Mechanics · Physics 2009-10-31 Eric Braaten , John Pearson

We have realized Bose-Einstein condensation (BEC) of 87Rb in the F=2, m_F=2 hyperfine substate in a hybrid trap, consisting of a quadrupole magnetic field and a single optical dipole beam. The symmetry axis of the quadrupole magnetic trap…

Quantum Gases · Physics 2015-02-23 Hari Prasad Mishra , Adonis Silva Flores , Wim Vassen , Steven Knoop

We create Bose-Einstein condensates of 87-rubidium in a static magnetic trap with a superimposed blue-detuned 1D optical lattice. By displacing the magnetic trap center we are able to control the condensate evolution. We observe a change in…

Condensed Matter · Physics 2009-05-28 S. Burger , F. S. Cataliotti , C. Fort , F. Minardi , M. Inguscio , M. L. Chiofalo , M. P. Tosi

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

We describe a self-biased, fully permanent magnet atom chip used to study ultracold atoms and to produce a Bose-Einstein condensate (BEC). The magnetic trap is loaded efficiently by adiabatic transport of a magnetic trap via the application…

Other Condensed Matter · Physics 2008-03-24 T. Fernholz , R. Gerritsma , S. Whitlock , I. Barb , R. J. C. Spreeuw

In this short review we present our recent results concerning the rotation of atomic Bose-Einstein condensates confined in quadratic or quartic potentials, and give an overview of the field. We first describe the procedure used to set an…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Sabine Stock , Baptiste Battelier , Vincent Bretin , Zoran Hadzibabic , Jean Dalibard

The properties of a rotating Bose-Einstein condensate confined in a prolate cylindrically symmetric trap are explored both analytically and numerically. As the rotation frequency increases, an ever greater number of vortices are…

Statistical Mechanics · Physics 2009-11-07 D. L. Feder , C. W. Clark

In this work we consider the oscillations and associated resonance of a 2D Bose-Einstein condensate under periodic and random modulations of the atomic scattering length. For random oscillations of the trap potential and of the atomic…

Soft Condensed Matter · Physics 2009-11-07 F. Kh. Abdullaev , J. C. Bronski , R. M. Galimzyanov

The behaviors of a rapid rotating Bose-Einstein condensate under extreme elongation in a 2D anisotropic harmonic plus quartic trap are investigated. Due to the quartic trap, the system remains stable at high rotating velocity, $\Omega\geq…

Other Condensed Matter · Physics 2012-06-13 C. C. Huang , C. H. Liu , W. C. Wu