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We report a simple method for the creation of Bose-Einstein condensates of $^{85}$Rb by direct evaporation in a crossed optical dipole trap. The independent control of the trap frequencies and magnetic bias field afforded by the trapping…

Atomic Physics · Physics 2013-04-11 A. L. Marchant , S. Händel , S. A. Hopkins , T. P. Wiles , S. L. Cornish

We formulate the basic theoretical methods for Bose-Einstein Condensation of atoms close to a Feshbach resonance, in which the tunable scattering length of the atoms is described using a system of coupled atom and molecule fields. These…

Atomic and Molecular Clusters · Physics 2011-09-15 Catarina E Sahlberg , C W Gardiner

By exact numerical solutions of the Gross-Pitaevskii (GP) equation in 3D, we assess the validity of 1D and 2D approximations in the study of Bose-Einstein condensates confined in harmonic trap potentials. Typically, these approximations are…

We analyze the possibility that due to their superfluid properties some compact astrophysical objects may contain a significant part of their matter in the form of a Bose-Einstein condensate. To study the condensate we use the…

Solar and Stellar Astrophysics · Physics 2013-05-30 P. H. Chavanis , T. Harko

We study a dilute Bose gas of atoms whose scattering length a is large compared to the range of their interaction. We calculate the energy density of the homogeneous Bose-Einstein condensate to second order in the low-density expansion,…

Condensed Matter · Physics 2009-11-07 Eric Braaten , H. -W. Hammer , Thomas Mehen

We discuss Bose-Einstein condensation in harmonic traps where the confinement has undergone a splitting along one direction. We mostly consider the 3D potentials consisting of two cylindrical wells separated a distance 2a along the z-axis.…

Condensed Matter · Physics 2009-10-31 P. Capuzzi , E. S. Hernandez

The properties of Bose-Einstein condensed gases can be strongly altered by tuning the external magnetic field near a Feshbach resonance. Feshbach resonances affect elastic collisions and lead to the observed modification of the scattering…

Statistical Mechanics · Physics 2009-10-31 J. Stenger , S. Inouye , M. R. Andrews , H. -J. Miesner , D. M. Stamper-Kurn , W. Ketterle

We investigate the dynamical behavior of the Gross-Pitaevskii equation for a Bose-Einstein condensate trapped in a spherical power law potential restricted to the repulsive case, from the dynamical system formalism point of view. A…

Quantum Gases · Physics 2018-09-19 Elías Castellanos , Celia Escamilla-Rivera , Mayra J. Reyes-Ibarra

A Bose-Einstein condensate is created in a simple and robust miniature Ioffe-Pritchard trap, the so-called Z trap. This trap follows from the mere combination of a Z-shaped current carrying wire and a homogeneous bias field. The…

Processes of association in an atomic Bose-Einstein condensate, and dissociation of the resulting molecular condensate, due to Feshbach resonance in a time-dependent magnetic field, are analyzed incorporating non-mean-field quantum…

Condensed Matter · Physics 2007-05-23 V. A. Yurovsky , A. Ben-Reuven

We report site-resolved radiofrequency spectroscopy measurements of Bose-Einstein condensates of 87Rb atoms in about 100 sites of a one-dimensional 10 micron-period magnetic lattice produced by a grooved magnetic film plus bias fields.…

We study the collective excitation frequencies of a harmonically trapped 85Rb Bose-Einstein condensate (BEC) in the vicinity of a Feshbach resonance. To this end, we solve the underlying Gross-Pitaevskii (GP) equation by using a Gaussian…

Quantum Gases · Physics 2013-06-11 Hamid Al-Jibbouri , Axel Pelster

In the mean-field approximation, a trapped Bose-Einstein condensate at zero temperature is described by the Gross-Pitaevskii equation for the condensate, or equivalently, by the hydrodynamic equations for the number density and the current…

Condensed Matter · Physics 2009-10-31 Jens O. Andersen , Eric Braaten

We report on a proposal to change the group velocity of a small Bose Einstein Condensate (BEC) upon collision with another BEC in analogy to slowing of light passing through dispersive media. We make use of ultracold collisions near a…

Quantum Gases · Physics 2015-06-12 Ranchu Mathew , Eite Tiesinga

Bose-Einstein condensation (BEC) of Feshbach molecules in a homogeneous Bose gas is studied at finite temperatures in a single-channel mean-field approach where the Hartree-Fock energy and pairing gap are determined self-consistently. In…

Quantum Gases · Physics 2010-02-21 Zeng-Qiang Yu , Lan Yin

We have observed Bose-Einstein condensation of an atomic gas in the (quasi-)uniform three-dimensional potential of an optical box trap. Condensation is seen in the bimodal momentum distribution and the anisotropic time-of-flight expansion…

We use collective oscillations of a two-component Bose-Einstein condensate (2CBEC) of \Rb atoms prepared in the internal states $\ket{1}\equiv\ket{F=1, m_F=-1}$ and $\ket{2}\equiv\ket{F=2, m_F=1}$ for the precision measurement of the…

Quantum Gases · Physics 2015-03-20 M. Egorov , B. Opanchuk , P. Drummond , B. V. Hall , P. Hannaford , A. I. Sidorov

We show an all-optical method of making 7Li condensate using tunability of the scattering length in the proximity of a Feshbach resonance. We report the observation of two new Feshbach resonances on |F = 1;mF = 0> state. The narrow (broad)…

Atomic Physics · Physics 2010-09-07 Noam Gross , Lev Khaykovich

In this paper, we study the phase diagram of a homogeneous Bose gas with a repulsive interaction near a wide Feshbach resonance at zero temperature. The Bose-Einstein-condensation (BEC) state of atoms is a metastable state. When the…

Other Condensed Matter · Physics 2009-11-13 Lan Yin

We explore the effect of mutual gravitational interaction between ultra-cold gas atoms on the dynamics of Bose-Einstein condensates (BEC). Small amplitude oscillation of BEC is studied by applying variational technique to reduce the…

General Relativity and Quantum Cosmology · Physics 2018-12-27 Patrick Das Gupta