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      Solitary waves in clouds of Bose-Einstein condensed atoms

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          Abstract

          We consider the conditions under which solitary waves can exist in elongated clouds of Bose-Einstein condensed atoms. General expressions are derived for the velocity, characteristic size, and spatial profile of solitary waves, and the low- and high-density limits are examined.

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          Ground-State Properties of Magnetically Trapped Bose-Condensed Rubidium Gas

          CHRISTOPHER PETHICK, Gordon Baym (1995)
          We give a quantitative account of the ground-state properties of the dilute magnetically trapped \(^{87}\)Rb gas recently cooled and Bose-Einstein condensed at nanokelvin-scale temperatures. Using simple scaling arguments, we show that at large particle number the kinetic energy is a small perturbation, and find a spatial structure of the cloud of atoms and its momentum distribution dependent in an essential way on particle interactions. We also estimate the superfluid coherence length and the critical angular velocity at which vortex lines become energetically favorable.
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            Propagation of Sound in a Bose-Einstein Condensate

            C. Townsend, M. Andrews, D. Kurn … (1997)
            Article 0 comments Cited 125 times – based on 0 reviews     Review now
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              A Spectroscopic Determination of Scattering Lengths for Sodium Atom Collisions

              Eite Tiesinga, Carl Williams, Paul Julienne … (1996)
              We report a preliminary value for the zero magnetic field Na 2S(f = 1, m = − 1) + Na 2S(f = 1, m = − 1) scattering length, a 1,−1. This parameter describes the low-energy elastic two-body processes in a dilute gas of composite bosons and determines, to a large extent, the macroscopic wavefunction of a Bose condensate in a trap. Our scattering length is obtained from photoassociative spectroscopy with samples of uncondensed atoms. The temperature of the atoms is sufficiently low that contributions from the three lowest partial waves dominate the spectrum. The observed lineshapes for the purely long-range 0 g − molecular state enable us to establish key features of the ground state scattering wavefunction. The fortuitous occurrence of a p-wave node near the deepest point (R e = 72 a 0) of the 0 g − potential curve is instrumental in determining a 1,−1 = (52 ± 5) a 0 and a 2,2 = (85 ± 3) a 0, where the latter is for a collision of two Na 2S(f = 2, m = 2) atoms.
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                Author and article information

                Journal
                Publication date Created: 10 March 1998
                Article
                DOI: 10.1103/PhysRevA.58.2417
                ArXiV ID: cond-mat/9803116
                SO-VID: 1dcc8dad-45db-46d9-9d6f-89c46629dabf
                History
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                Journal reference Phys. Rev. A, 58 (1998) 2417
                Comments 6 pages, revtex, 1 ps figure
                Categories cond-mat

                ScienceOpen disciplines: Condensed matter
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                ScienceOpen disciplines: Condensed matter

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